m_sensor.cc

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/* Copyright (C) 2003-2012
   Patrick Eriksson <Patrick.Eriksson@chalmers.se>
   Stefan Buehler   <sbuehler(at)ltu.se>
 
   This program is free software; you can redistribute it and/or modify it
   under the terms of the GNU General Public License as published by the
   Free Software Foundation; either version 2, or (at your option) any
   later version.
 
   This program is distributed in the hope that it will be useful,
   but WITHOUT ANY WARRANTY; without even the implied warranty of
   MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
   GNU General Public License for more details.
 
   You should have received a copy of the GNU General Public License
   along with this program; if not, write to the Free Software
   Foundation, Inc., 59 Temple Place - Suite 330, Boston, MA 02111-1307,
   USA. */
 
/*===========================================================================
  ===  File description
  ===========================================================================*/
 
/*===========================================================================
  === External declarations
  ===========================================================================*/
 
#include <algorithm>
#include <cmath>
#include <stdexcept>
#include <string>
#include "arts.h"
#include "auto_md.h"
#include "check_input.h"
#include "interpolation_poly.h"
#include "m_select.h"
#include "math_funcs.h"
#include "messages.h"
#include "ppath.h"
#include "sensor.h"
#include "sorting.h"
#include "special_interp.h"
#include "xml_io.h"
 
extern const Numeric PI;
extern const Numeric NAT_LOG_2;
extern const Numeric DEG2RAD;
extern const Numeric RAD2DEG;
extern const Index GFIELD1_F_GRID;
extern const Index GFIELD4_FIELD_NAMES;
extern const Index GFIELD4_F_GRID;
extern const Index GFIELD4_ZA_GRID;
extern const Index GFIELD4_AA_GRID;
extern const Numeric SPEED_OF_LIGHT;
 
/*===========================================================================
  === The functions (in alphabetical order)
  ===========================================================================*/
 
/* Workspace method: Doxygen documentation will be auto-generated */
void AntennaConstantGaussian1D(Index& antenna_dim,
                               Matrix& mblock_dlos_grid,
                               GriddedField4& r,
                               Matrix& antenna_dlos,
                               const Index& n_za_grid,
                               const Numeric& fwhm,
                               const Numeric& xwidth_si,
                               const Numeric& dx_si,
                               const Verbosity& verbosity) {
  if (dx_si > xwidth_si)
    throw runtime_error("It is demanded that dx_si <= xwidth_si.");
 
  antenna_dim = 1;
 
  antenna_dlos.resize(1, 1);
  antenna_dlos(0, 0) = 0.0;
 
  antenna_responseGaussian(r, fwhm, xwidth_si, dx_si, 0, verbosity);
 
  // za grid for response
  ConstVectorView r_za_grid = r.get_numeric_grid(GFIELD4_ZA_GRID);
  const Index nr = r_za_grid.nelem();
 
  // Cumulative integral of response (factor /2 skipped, but does not matter)
  Vector cumtrapz(nr);
  cumtrapz[0] = 0;
  for (Index i = 1; i < nr; i++) {
    cumtrapz[i] = cumtrapz[i - 1] + r.data(0, 0, i - 1, 0) + r.data(0, 0, i, 0);
  }
 
  // Equally spaced vector between end points of cumulative sum
  Vector csp;
  nlinspace(csp, cumtrapz[0], cumtrapz[nr - 1], n_za_grid);
 
  // Get mblock_za_grid by interpolation
  mblock_dlos_grid.resize(n_za_grid, 1);
  ArrayOfGridPos gp(n_za_grid);
  gridpos(gp, cumtrapz, csp);
  Matrix itw(n_za_grid, 2);
  interpweights(itw, gp);
  interp(mblock_dlos_grid(joker, 0), itw, r_za_grid, gp);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void AntennaMultiBeamsToPencilBeams(Matrix& sensor_pos,
                                    Matrix& sensor_los,
                                    Matrix& antenna_dlos,
                                    Index& antenna_dim,
                                    Matrix& mblock_dlos_grid,
                                    const Index& atmosphere_dim,
                                    const Verbosity& verbosity) {
  // Sizes
  const Index nmblock = sensor_pos.nrows();
  const Index nant = antenna_dlos.nrows();
 
  // Input checks
  chk_if_in_range("atmosphere_dim", atmosphere_dim, 1, 3);
  chk_if_in_range("antenna_dim", antenna_dim, 1, 2);
  //
  if (sensor_pos.ncols() != atmosphere_dim)
    throw runtime_error(
        "The number of columns of sensor_pos must be "
        "equal to the atmospheric dimensionality.");
  if (atmosphere_dim <= 2 && sensor_los.ncols() != 1)
    throw runtime_error("For 1D and 2D, sensor_los shall have one column.");
  if (atmosphere_dim == 3 && sensor_los.ncols() != 2)
    throw runtime_error("For 3D, sensor_los shall have two columns.");
  if (sensor_los.nrows() != nmblock) {
    ostringstream os;
    os << "The number of rows of sensor_pos and sensor_los must be "
       << "identical, but sensor_pos has " << nmblock << " rows,\n"
       << "while sensor_los has " << sensor_los.nrows() << " rows.";
    throw runtime_error(os.str());
  }
  if (antenna_dim == 2 && atmosphere_dim < 3) {
    throw runtime_error("If *antenna_dim* is 2, *atmosphere_dim* must be 3.");
  }
  if (antenna_dlos.empty()) throw runtime_error("*antenna_dlos* is empty.");
  if (antenna_dlos.ncols() < 1 || antenna_dlos.ncols() > 2)
    throw runtime_error("*antenna_dlos* must have one or 2 columns.");
  if (atmosphere_dim < 3 && antenna_dlos.ncols() == 2)
    throw runtime_error(
        "*antenna_dlos* can only have two columns for 3D atmosphers.");
 
  // Claculate new sensor_pos and sensor_los
  const Matrix pos_copy = sensor_pos;
  const Matrix los_copy = sensor_los;
  //
  sensor_pos.resize(nmblock * nant, pos_copy.ncols());
  sensor_los.resize(nmblock * nant, los_copy.ncols());
  //
  for (Index ib = 0; ib < nmblock; ib++) {
    for (Index ia = 0; ia < nant; ia++) {
      const Index i = ib * nant + ia;
 
      sensor_pos(i, joker) = pos_copy(ib, joker);
      sensor_los(i, joker) = los_copy(ib, joker);
 
      sensor_los(i, 0) += antenna_dlos(ia, 0);
      if (antenna_dlos.ncols() == 2) sensor_los(i, 1) += antenna_dlos(ia, 1);
    }
  }
 
  // Set other variables
  AntennaOff(antenna_dim, mblock_dlos_grid, verbosity);
  //
  antenna_dlos.resize(1, 1);
  antenna_dlos = 0;
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void AntennaOff(Index& antenna_dim,
                Matrix& mblock_dlos_grid,
                const Verbosity& verbosity) {
  CREATE_OUT2;
 
  out2 << "  Sets the antenna dimensionality to 1.\n";
  antenna_dim = 1;
 
  out2 << "  Sets *mblock_dlos_grid* to have one row with value 0.\n";
  mblock_dlos_grid.resize(1, 1);
  mblock_dlos_grid = 0;
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void antenna_responseGaussian(GriddedField4& r,
                              const Numeric& fwhm,
                              const Numeric& xwidth_si,
                              const Numeric& dx_si,
                              const Index& do_2d,
                              const Verbosity&) {
  if (dx_si > xwidth_si)
    throw runtime_error("It is demanded that dx_si <= xwidth_si.");
 
  Vector x, y;
  gaussian_response_autogrid(x, y, 0, fwhm, xwidth_si, dx_si);
 
  r.set_name("Antenna response");
 
  r.set_grid_name(0, "Polarisation");
  r.set_grid(0, {"NaN"});
 
  r.set_grid_name(1, "Frequency");
  r.set_grid(1, Vector(1, -999));
 
  r.set_grid_name(2, "Zenith angle");
  r.set_grid(2, x);
 
  // common for 1D and 2D
  r.set_grid_name(3, "Azimuth angle");
  const Index n = y.nelem();
  //
  if (do_2d) {
    r.set_grid(3, x);
    r.data.resize(1, 1, n, n);
 
    // The code below follows the function *gaussian_response*
    const Numeric si = fwhm / (2 * sqrt(2 * NAT_LOG_2));
    const Numeric a = 1 / (si * sqrt(2 * PI));
 
    for (Index z = 0; z < n; z++) {
      for (Index b = 0; b < n; b++) {
        r.data(0, 0, z, b) =
            a * exp(-0.5 * pow(sqrt(x[z] * x[z] + x[b] * x[b]) / si, 2.0));
      }
    }
  } else {
    r.set_grid(3, Vector(1, 0));
    r.data.resize(1, 1, n, 1);
    r.data(0, 0, joker, 0) = y;
  }
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void antenna_responseVaryingGaussian(GriddedField4& r,
                                     const Numeric& leff,
                                     const Numeric& xwidth_si,
                                     const Numeric& dx_si,
                                     const Index& nf,
                                     const Numeric& fstart,
                                     const Numeric& fstop,
                                     const Index& do_2d,
                                     const Verbosity& verbosity) {
  if (dx_si > xwidth_si)
    throw runtime_error("It is demanded that dx_si <= xwidth_si.");
 
  // Calculate response for highest frequency, with xwidth_si scaled from
  // fstart
  Vector x, y;
  Numeric fwhm = RAD2DEG * SPEED_OF_LIGHT / (leff * fstop);
  gaussian_response_autogrid(
      x, y, 0, fwhm, (fstop / fstart) * xwidth_si, dx_si);
 
  r.set_name("Antenna response");
 
  r.set_grid_name(0, "Polarisation");
  r.set_grid(0, {"NaN"});
 
  Vector f_grid;
  VectorNLogSpace(f_grid, nf, fstart, fstop, verbosity);
  r.set_grid_name(1, "Frequency");
  r.set_grid(1, f_grid);
 
  r.set_grid_name(2, "Zenith angle");
  r.set_grid(2, x);
 
  // common for 1D and 2D
  r.set_grid_name(3, "Azimuth angle");
  const Index n = y.nelem();
  //
  if (do_2d) {
    r.set_grid(3, x);
    r.data.resize(1, nf, n, n);
 
    for (Index i = 0; i < nf; i++) {
      fwhm = RAD2DEG * SPEED_OF_LIGHT / (leff * f_grid[i]);
      const Numeric si = fwhm / (2 * sqrt(2 * NAT_LOG_2));
      const Numeric a = 1 / (si * sqrt(2 * PI));
 
      for (Index z = 0; z < n; z++) {
        for (Index b = 0; b < n; b++) {
          r.data(0, i, z, b) =
              a * exp(-0.5 * pow(sqrt(x[z] * x[z] + x[b] * x[b]) / si, 2.0));
        }
      }
    }
  } else {
    r.set_grid(3, Vector(1, 0));
    r.data.resize(1, nf, n, 1);
    //
    r.data(0, nf - 1, joker, 0) = y;
    //
    for (Index i = 0; i < nf - 1; i++) {
      fwhm = RAD2DEG * SPEED_OF_LIGHT / (leff * f_grid[i]);
      gaussian_response(y, x, 0, fwhm);
      r.data(0, i, joker, 0) = y;
    }
  }
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void backend_channel_responseFlat(ArrayOfGriddedField1& r,
                                  const Numeric& resolution,
                                  const Verbosity&) {
  r.resize(1);
  r[0].set_name("Backend channel response function");
 
  Vector x(2);
 
  r[0].set_grid_name(0, "Frequency");
  x[1] = resolution / 2.0;
  x[0] = -x[1];
  r[0].set_grid(0, x);
 
  r[0].data.resize(2);
  r[0].data[0] = 1 / resolution;
  r[0].data[1] = r[0].data[0];
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void backend_channel_responseGaussian(ArrayOfGriddedField1& r,
                                      const Vector& fwhm,
                                      const Vector& xwidth_si,
                                      const Vector& dx_si,
                                      const Verbosity&) {
  if ((fwhm.nelem() != xwidth_si.nelem() && xwidth_si.nelem() != 1) ||
      (fwhm.nelem() != dx_si.nelem() && dx_si.nelem() != 1)) {
    std::ostringstream os;
    os << "*xwidth_si* and *dx_si* must have one element or the same number of\n";
    os << "elements as *fwhm*.";
    throw std::runtime_error(os.str());
  }
 
  Index nchannels = fwhm.nelem();
  r.resize(nchannels);
 
  Vector x, y;
  Numeric this_xwidth_si = xwidth_si[0];
  Numeric this_dx_si = dx_si[0];
  for (Index i = 0; i < nchannels; i++) {
    if (xwidth_si.nelem() > 1) this_xwidth_si = xwidth_si[i];
 
    if (dx_si.nelem() > 1) this_dx_si = dx_si[i];
 
    gaussian_response_autogrid(x, y, 0, fwhm[i], this_xwidth_si, this_dx_si);
 
    r[i].set_name("Backend channel response function");
 
    r[i].set_grid_name(0, "Frequency");
    r[i].set_grid(0, x);
 
    const Index n = y.nelem();
    r[i].data.resize(n);
    for (Index j = 0; j < n; j++) r[i].data[j] = y[j];
  }
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void f_gridFromSensorAMSU(  // WS Output:
    Vector& f_grid,
    // WS Input:
    const Vector& lo,
    const ArrayOfVector& f_backend,
    const ArrayOfArrayOfGriddedField1& backend_channel_response,
    // Control Parameters:
    const Numeric& spacing,
    const Verbosity& verbosity) {
  CREATE_OUT2;
  CREATE_OUT3;
 
  // Find out how many channels we have in total:
  // f_backend is an array of vectors, containing the band frequencies for each Mixer.
  Index n_chan = 0;
  for (Index i = 0; i < f_backend.nelem(); ++i)
    for (Index s = 0; s < f_backend[i].nelem(); ++s) ++n_chan;
 
  // Checks on input quantities:
 
  // There must be at least one channel:
  if (n_chan < 1) {
    ostringstream os;
    os << "There must be at least one channel.\n"
       << "(The vector *lo* must have at least one element.)";
    throw runtime_error(os.str());
  }
 
  // Is number of LOs consistent in all input variables?
  if ((f_backend.nelem() != lo.nelem()) ||
      (backend_channel_response.nelem() != lo.nelem())) {
    ostringstream os;
    os << "Variables *lo_multi*, *f_backend_multi* and *backend_channel_response_multi*\n"
       << "must have same number of elements (number of LOs).";
    throw runtime_error(os.str());
  }
 
  // Is number of bands consistent for each LO?
  for (Index i = 0; i < f_backend.nelem(); ++i)
    if (f_backend[i].nelem() != backend_channel_response[i].nelem()) {
      ostringstream os;
      os << "Variables *f_backend_multi* and *backend_channel_response_multi*\n"
         << "must have same number of bands for each LO.";
      throw runtime_error(os.str());
    }
 
  // Start the actual work.
 
  // We construct the necessary input for function find_effective_channel_boundaries,
  // which will identify channel boundaries, taking care of overlaping channels.
 
  // A "flat" vector of nominal band frequencies (two for each AMSU channel):
  Vector f_backend_flat(2 * n_chan);
 
  // A "flat" list of channel response functions (two for each AMSU channel)
  ArrayOfGriddedField1 backend_channel_response_flat(2 * n_chan);
 
  // Counts position inside the flat arrays during construction:
  Index j = 0;
 
  for (Index i = 0; i < f_backend.nelem(); ++i)
    for (Index s = 0; s < f_backend[i].nelem(); ++s) {
      const GriddedField1& this_grid = backend_channel_response[i][s];
      const Numeric this_f_backend = f_backend[i][s];
 
      // Signal sideband:
      f_backend_flat[j] = this_f_backend;
      backend_channel_response_flat[j] = this_grid;
      j++;
 
      // Image sideband:
      Numeric offset = this_f_backend - lo[i];
      Numeric f_image = lo[i] - offset;
      f_backend_flat[j] = f_image;
      backend_channel_response_flat[j] = this_grid;
      j++;
    }
 
  // We build up a total list of absolute frequency ranges for
  // both signal and image sidebands:
  Vector fmin(2 * n_chan), fmax(2 * n_chan);
 
  // We have to add some additional margin at the band edges,
  // otherwise the instrument functions are not happy. Define
  // this in terms of the grid spacing:
  Numeric delta = 1 * spacing;
 
  // Call subfunction to do the actual work of merging overlapping
  // channels and identifying channel boundaries:
  find_effective_channel_boundaries(fmin,
                                    fmax,
                                    f_backend_flat,
                                    backend_channel_response_flat,
                                    delta,
                                    verbosity);
 
  // Create f_grid_array. This is an array of Numeric, so that we
  // can use the STL push_back function.
  ArrayOfNumeric f_grid_array;
 
  for (Index i = 0; i < fmin.nelem(); ++i) {
    // Band width:
    const Numeric bw = fmax[i] - fmin[i];
 
    // How many grid intervals do I need?
    const Numeric npf = ceil(bw / spacing);
 
    // How many grid points to store? - Number of grid intervals
    // plus 1.
    const Index npi = (Index)npf + 1;
 
    // Create the grid for this band:
    Vector grid;
    nlinspace(grid, fmin[i], fmax[i], npi);
 
    out3 << "  Band range " << i << ": " << grid << "\n";
 
    // Append to f_grid_array:
    f_grid_array.reserve(f_grid_array.nelem() + npi);
    for (Index s = 0; s < npi; ++s) f_grid_array.push_back(grid[s]);
  }
 
  // Copy result to output vector:
  f_grid = f_grid_array;
 
  out2 << "  Total number of frequencies in f_grid: " << f_grid.nelem() << "\n";
  //  cout << "f_grid: " << f_grid << "\n";
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void f_gridFromSensorAMSUgeneric(  // WS Output:
    Vector& f_grid,
    // WS Input:
    const ArrayOfVector& f_backend_multi,  // Center frequency for each channel
    const ArrayOfArrayOfGriddedField1& backend_channel_response_multi,
    // Control Parameters:
    const Numeric& spacing,
    const Vector& verbosityVect,
    const Verbosity& verbosity) {
  CREATE_OUT2;
  CREATE_OUT3;
  Index numFpoints = 0;
  // Calculate the total number of frequency points
  for (Index idx = 0; idx < backend_channel_response_multi.nelem(); ++idx) {
    for (Index idy = 0; idy < backend_channel_response_multi[idx].nelem();
         ++idy) {
      numFpoints += backend_channel_response_multi[idx][idy].get_grid_size(0);
    }
  }
 
  Index numChan = backend_channel_response_multi.nelem();  // number of channels
 
  // Checks on input quantities:
 
  // There must be at least one channel:
  if (numChan < 1) {
    ostringstream os;
    os << "There must be at least one channel.\n"
       << "(The vector *lo* must have at least one element.)";
    throw runtime_error(os.str());
  }
 
  // Start the actual work.
  // We construct the necessary input for function find_effective_channel_boundaries,
  // which will identify channel boundaries, taking care of overlaping channels.
 
  // A "flat" vector of nominal band frequencies (one for each AMSU channel):
  Vector f_backend_flat(numChan);
  // A "flat" list of channel response functions (one for each AMSU channel)
  ArrayOfGriddedField1 backend_channel_response_nonflat(numChan);
 
  // Save the correct verbosity value to each passband
  Vector FminVerbosityVect(numFpoints);
  Vector FmaxVerbosityVect(numFpoints);
  Vector VerbosityValVect(numFpoints);
  Index VerbVectIdx = 0;
 
  for (Index i = 0; i < f_backend_multi.nelem(); ++i) {
    for (Index ii = 0; ii < f_backend_multi[i].nelem(); ++ii) {
      const GriddedField1& this_grid = backend_channel_response_multi[i][ii];
      const Numeric this_f_backend = f_backend_multi[i][ii];
      // Signal passband :
      f_backend_flat[i] = this_f_backend;
      backend_channel_response_nonflat[i] = this_grid;
      for (Index idy = 1;
           idy < backend_channel_response_multi[i][ii].get_grid_size(0);
           ++idy) {
        if ((backend_channel_response_multi[i][ii].data[idy - 1] == 0) &&
            (backend_channel_response_multi[i][ii].data[idy] > 0)) {
          FminVerbosityVect[VerbVectIdx] =
              f_backend_multi[i][ii] +
              backend_channel_response_multi[i][ii].get_numeric_grid(0)[idy];
          VerbosityValVect[VerbVectIdx] = verbosityVect[i];
        }
        if ((backend_channel_response_multi[i][ii].data[idy - 1] > 0) &&
            (backend_channel_response_multi[i][ii].data[idy] == 0)) {
          FmaxVerbosityVect[VerbVectIdx] =
              f_backend_multi[i][ii] +
              backend_channel_response_multi[i][ii].get_numeric_grid(0)[idy];
          VerbVectIdx++;
        }
      }
    }
  }
  // We build up a total list of absolute frequency ranges for all passbands
  // Code reused from the function "f_gridFromSensorAMSU"
  Vector fmin,
      fmax;  // - these variables will be resized, therefore len(1) is enough for now.,
 
  // We have to add some additional margin at the band edges,
  // otherwise the instrument functions are not happy. Define
  // this in terms of the grid spacing:
  const Numeric delta = 10;
 
  // Call subfunction to do the actual work of merging overlapping
  // channels and identifying channel boundaries:
  find_effective_channel_boundaries(fmin,
                                    fmax,
                                    f_backend_flat,
                                    backend_channel_response_nonflat,
                                    delta,
                                    verbosity);
 
  // Create f_grid_array. This is an array of Numeric, so that we
  // can use the STL push_back function.
  ArrayOfNumeric f_grid_array;
 
  for (Index i = 0; i < fmin.nelem(); ++i) {
    // Bandwidth:
    const Numeric bw = fmax[i] - fmin[i];
    Numeric npf = ceil(bw / spacing);  // Set a default value
 
    // How many grid intervals do I need?
    Index verbIdx = 0;
    if (verbosityVect.nelem() > 0) {
      // find the grid needed for the particular part of passband
      for (Index ii = 0; ii < VerbVectIdx; ++ii) {
        if ((FminVerbosityVect[ii] >= fmin[i]) &&
            (FmaxVerbosityVect[ii] <= fmax[i])) {
          if (verbIdx == 0) {
            verbIdx = ii;
          } else {
            if (VerbosityValVect[ii] < VerbosityValVect[verbIdx]) {
              verbIdx = ii;
            }
          }
        }
      }
      if (spacing > VerbosityValVect[verbIdx]) {
        npf = ceil(
            bw / VerbosityValVect[verbIdx]);  // is the default value to coarse?
      } else {
        npf = ceil(bw / spacing);  // Default value
      }
    }
 
    // How many grid points to store? - Number of grid intervals
    // plus 1.
    const Index npi = (Index)npf + 1;
 
    // What is the actual grid spacing inside the band?
    const Numeric gs = bw / npf;
 
    // Create the grid for this band:
    Vector grid(fmin[i], npi, gs);
 
    out3 << "  Band range " << i << ": " << grid << "\n";
 
    // Append to f_grid_array:
    f_grid_array.reserve(f_grid_array.nelem() + npi);
    for (Index s = 0; s < npi; ++s) f_grid_array.push_back(grid[s]);
  }
 
  // Copy result to output vector:
  f_grid = f_grid_array;
 
  out2 << "  Total number of frequencies in f_grid: " << f_grid.nelem() << "\n";
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void f_gridFromSensorHIRS(  // WS Output:
    Vector& f_grid,
    // WS Input:
    const Vector& f_backend,
    const ArrayOfGriddedField1& backend_channel_response,
    // Control Parameters:
    const Numeric& spacing,
    const Verbosity& verbosity) {
  CREATE_OUT2;
  CREATE_OUT3;
 
  // Check input
  if (spacing <= 0) {
    ostringstream os;
    os << "Expected positive spacing. Found spacing to be: " << spacing << "\n";
    throw runtime_error(os.str());
  }
  // Call subfunction to get channel boundaries. Also does input
  // consistency checking for us.
  Vector fmin, fmax;
 
  // We have to add some additional margin at the band edges,
  // otherwise the instrument functions are not happy. Define
  // this in terms of the grid spacing:
  Numeric delta = 1 * spacing;
 
  find_effective_channel_boundaries(
      fmin, fmax, f_backend, backend_channel_response, delta, verbosity);
 
  // Ok, now we just have to create a frequency grid for each of the
  // fmin/fmax ranges.
 
  // Create f_grid_array. This is an array of Numeric, so that we
  // can use the STL push_back function.
  ArrayOfNumeric f_grid_array;
 
  for (Index i = 0; i < fmin.nelem(); ++i) {
    // Band width:
    const Numeric bw = fmax[i] - fmin[i];
 
    // How many grid intervals do I need?
    const Numeric npf = ceil(bw / spacing);
 
    // How many grid points to store? - Number of grid intervals
    // plus 1.
    const Index npi = (Index)npf + 1;
 
    // Create the grid for this band:
    Vector grid;
    nlinspace(grid, fmin[i], fmax[i], npi);
 
    out3 << "  Band range " << i << ": " << grid << "\n";
 
    // Append to f_grid_array:
    f_grid_array.reserve(f_grid_array.nelem() + npi);
    for (Index s = 0; s < npi; ++s) f_grid_array.push_back(grid[s]);
  }
 
  // Copy result to output vector:
  f_grid = f_grid_array;
 
  out2 << "  Total number of frequencies in f_grid: " << f_grid.nelem() << "\n";
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void f_gridMetMM(
    // WS Output:
    Vector& f_grid,
    Vector& f_backend,
    ArrayOfArrayOfIndex& channel2fgrid_indexes,
    ArrayOfVector& channel2fgrid_weights,
    // WS Input:
    const Matrix& mm_back, /* met_mm_backend */
    // Control Parameters:
    const Vector& freq_spacing,
    const ArrayOfIndex& freq_number,
    const Numeric& freq_merge_threshold,
    const Verbosity&) {
  // Some sizes
  const Index nchannels = mm_back.nrows();
 
  // Checks of input
  //
  chk_met_mm_backend(mm_back);
  //
  if (freq_spacing.nelem() != 1 && freq_spacing.nelem() != nchannels)
    throw std::runtime_error(
        "Length of *freq_spacing* vector must be either 1 or correspond\n"
        "to the number of rows in *met_mm_backend*.");
  //
  if (freq_number.nelem() != 1 && freq_number.nelem() != nchannels)
    throw std::runtime_error(
        "Length of *freq_number* array must be either 1 or correspond\n"
        "to the number of rows in *met_mm_backend*.");
  //
  if (freq_merge_threshold <= 0)
    throw std::runtime_error("The *freq_merge_threshold* must be > 0.\n");
  //
  if (freq_merge_threshold > 100.)
    throw std::runtime_error(
        "The *freq_merge_threshold* is only meant to merge frequencies\n"
        "that are basically identical and only differ slightly due to\n"
        "numerical inaccuracies. Setting it to >100Hz is not reasonable.");
 
  ArrayOfNumeric f_grid_unsorted;
  ArrayOfIndex nf_per_channel(nchannels);
  ArrayOfIndex index_in_unsorted;
 
  f_backend.resize(nchannels);
 
  for (Index ch = 0; ch < nchannels; ch++) {
    const Numeric lo = mm_back(ch, 0);
    const Numeric offset1 = mm_back(ch, 1);
    const Numeric offset2 = mm_back(ch, 2);
    const Numeric bandwidth = mm_back(ch, 3);
 
    const Index this_fnumber =
        (freq_number.nelem() == 1) ? freq_number[0] : freq_number[ch];
    const Numeric this_spacing =
        (freq_spacing.nelem() == 1) ? freq_spacing[0] : freq_spacing[ch];
 
    if (this_spacing <= 0)
      throw std::runtime_error("*freq_spacing must be > 0.");
 
    if (this_fnumber == 0) {
      ostringstream os;
      os << "*freq_number* must be -1 or greater zero:"
         << "freq_number[" << ch << "] = " << this_fnumber;
      std::runtime_error(os.str());
    }
 
    // Number of passbands
    const Index npassb =
        1 + ((Index)(offset1 > 0)) + (2 * (Index)(offset2 > 0));
 
    // Number of frequencies per passband
    Index nfperband = this_fnumber;
    //
    if (this_fnumber == -1 ||
        bandwidth / (Numeric)this_fnumber > this_spacing) {
      nfperband = (Index)ceil(bandwidth / this_spacing);
    }
 
    // Fill the data known so far
    nf_per_channel[ch] = npassb * nfperband;
    f_backend[ch] = lo;
 
    // Distance between each new f_grid value
    const Numeric df = bandwidth / (Numeric)nfperband;
 
    // Loop passbands and determine f_grid values
    for (Index b = 0; b < npassb; b++) {
      // Centre frequency of passband
      Numeric fc = lo;
      if (npassb == 2) {
        fc += (-1 + 2 * (Numeric)b) * offset1;
      } else if (npassb == 4) {
        if (b <= 1) {
          fc -= offset1;
        } else {
          fc += offset1;
        }
        if (b == 0 || b == 2) {
          fc -= offset2;
        } else {
          fc += offset2;
        }
      }
 
      // Loop frequencies to add
      for (Index f_index = 0; f_index < nfperband; f_index++) {
        const Numeric fnew = fc - bandwidth / 2 + (0.5 + (Numeric)f_index) * df;
 
        // Does this frequency exist or not?
        bool found = false;
        for (size_t f_try = 0; f_try < f_grid_unsorted.size(); f_try++) {
          if (abs(fnew - f_grid_unsorted[f_try]) < freq_merge_threshold) {
            found = true;
            index_in_unsorted.push_back(f_try);
            break;
          }
        }
        if (!found) {
          f_grid_unsorted.push_back(fnew);
          index_in_unsorted.push_back(f_grid_unsorted.size() - 1);
        }
      }
    }
  }
 
  // Determine sort order for f_grid
  const size_t nf = f_grid_unsorted.size();
  ArrayOfIndex move2index(nf);
 
  // Create frequency position vector (1...nf)
  ArrayOfIndex sorted_indices;
  sorted_indices.resize(nf);
  for (size_t i = 0; i < nf; i++) {
    sorted_indices[i] = i;
  }
 
  // Sort frequency position vector by frequency
  std::sort(sorted_indices.begin(),
            sorted_indices.end(),
            CmpArrayOfNumeric(f_grid_unsorted));
 
  // Create vector with indices in target vector
  for (size_t i = 0; i < nf; i++) {
    move2index[sorted_indices[i]] = i;
  }
 
  // Create f_grid
  f_grid.resize(nf);
  //
  for (size_t f_index = 0; f_index < nf; f_index++) {
    f_grid[move2index[f_index]] = f_grid_unsorted[f_index];
  }
 
  // Create channel2 fgrid variables
  channel2fgrid_indexes.resize(nchannels);
  channel2fgrid_weights.resize(nchannels);
  Index i = 0;
  for (Index ch = 0; ch < nchannels; ch++) {
    channel2fgrid_indexes[ch].resize(nf_per_channel[ch]);
    channel2fgrid_weights[ch].resize(nf_per_channel[ch]);
    //
    for (Index j = 0; j < nf_per_channel[ch]; j++) {
      channel2fgrid_indexes[ch][j] = move2index[index_in_unsorted[i]];
      channel2fgrid_weights[ch][j] = 1 / (Numeric)nf_per_channel[ch];
      i++;
    }
  }
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void mblock_dlos_gridUniformCircular(Matrix& mblock_dlos_grid,
                                     const Numeric& spacing,
                                     const Numeric& width,
                                     const Index& centre,
                                     const Verbosity&) {
  // Create linear, equidistant grid (same in zenith and azimuth)
  Vector x;
  Numeric w;
  if (centre) {
    w = spacing * ceil(width / spacing);
  } else {
    w = spacing * (0.5 + floor(width / spacing));
  }
  linspace(x, -w, w, spacing);
  //
  const Index l = x.nelem();
 
  Matrix dlos_try(l * l, 2, 0);
  Index n_in = 0;
  const Numeric c = width * width;
 
  for (Index i = 0; i < l; i++) {
    const Numeric a = x[i] * x[i];
 
    for (Index j = 0; j < l; j++) {
      if (a + x[j] * x[j] <= c) {
        dlos_try(n_in, 0) = x[i];
        dlos_try(n_in, 1) = x[j];
        n_in++;
      }
    }
  }
 
  mblock_dlos_grid = dlos_try(Range(0, n_in), joker);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void mblock_dlos_gridUniformRectangular(Matrix& mblock_dlos_grid,
                                        const Numeric& spacing,
                                        const Numeric& za_width,
                                        const Numeric& aa_width,
                                        const Index& centre,
                                        const Verbosity&) {
  // Create za-grid
  Vector za;
  Numeric w;
  if (centre) {
    w = spacing * ceil(za_width / spacing);
  } else {
    w = spacing * (0.5 + floor(za_width / spacing));
  }
  linspace(za, -w, w, spacing);
 
  // Create aa-grid
  Vector aa;
  if (centre) {
    w = spacing * ceil(aa_width / spacing);
  } else {
    w = spacing * (0.5 + floor(aa_width / spacing));
  }
  linspace(aa, -w, w, spacing);
 
  const Index nza = za.nelem();
  const Index naa = aa.nelem();
 
  mblock_dlos_grid.resize(nza * naa, 2);
 
  Index n = 0;
 
  for (Index a = 0; a < naa; a++) {
    for (Index z = 0; z < nza; z++) {
      mblock_dlos_grid(n, 0) = za[z];
      mblock_dlos_grid(n, 1) = aa[a];
      n++;
    }
  }
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseAntenna(Sparse& sensor_response,
                            Vector& sensor_response_f,
                            ArrayOfIndex& sensor_response_pol,
                            Matrix& sensor_response_dlos,
                            Matrix& sensor_response_dlos_grid,
                            const Vector& sensor_response_f_grid,
                            const ArrayOfIndex& sensor_response_pol_grid,
                            const Index& atmosphere_dim,
                            const Index& antenna_dim,
                            const Matrix& antenna_dlos,
                            const GriddedField4& antenna_response,
                            const Index& sensor_norm,
                            const String& option_2d,
                            const Verbosity& verbosity) {
  CREATE_OUT3;
 
  // Basic checks
  chk_if_in_range("atmosphere_dim", atmosphere_dim, 1, 3);
  chk_if_in_range("antenna_dim", antenna_dim, 1, 2);
  chk_if_bool("sensor_norm", sensor_norm);
 
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
 
  // Initialise a output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // Checks related to antenna dimension
  if (antenna_dim == 2 && atmosphere_dim < 3) {
    os << "If *antenna_dim* is 2, *atmosphere_dim* must be 3.\n";
    error_found = true;
  }
 
  // Basic checks of antenna_dlos
  if (antenna_dlos.empty()) throw runtime_error("*antenna_dlos* is empty.");
  if (antenna_dlos.ncols() < 1 || antenna_dlos.ncols() > 2)
    throw runtime_error("*antenna_dlos* must have one or 2 columns.");
  if (atmosphere_dim < 3 && antenna_dlos.ncols() == 2)
    throw runtime_error(
        "*antenna_dlos* can only have two columns for 3D atmosphers.");
 
  // We allow angles in antenna_los to be unsorted
 
  // Checks of antenna_response polarisation dimension
  //
  const Index lpolgrid =
      antenna_response.get_string_grid(GFIELD4_FIELD_NAMES).nelem();
  //
  if (lpolgrid != 1 && lpolgrid != npol) {
    os << "The number of polarisation in *antenna_response* must be 1 or be\n"
       << "equal to the number of polarisations used (determined by\n"
       << "*stokes_dim* or *instrument_pol*).\n";
    error_found = true;
  }
 
  // Checks of antenna_response frequency dimension
  //
  ConstVectorView aresponse_f_grid =
      antenna_response.get_numeric_grid(GFIELD4_F_GRID);
  //
  chk_if_increasing("f_grid of antenna_response", aresponse_f_grid);
  //
  Numeric f_dlow = 0.0;
  Numeric f_dhigh = 0.0;
  //
  f_dlow = min(sensor_response_f_grid) - aresponse_f_grid[0];
  f_dhigh = last(aresponse_f_grid) - max(sensor_response_f_grid);
  //
  if (aresponse_f_grid.nelem() > 1) {
    if (f_dlow < 0) {
      os << "The frequency grid of *antenna_response is too narrow. It must\n"
         << "cover all considered frequencies (*f_grid*), if the length\n"
         << "is > 1. The grid needs to be expanded with " << -f_dlow
         << " Hz in\n"
         << "the lower end.\n";
      error_found = true;
    }
    if (f_dhigh < 0) {
      os << "The frequency grid of *antenna_response is too narrow. It must\n"
         << "cover all considered frequencies (*f_grid*), if the length\n"
         << "is > 1. The grid needs to be expanded with " << -f_dhigh
         << " Hz in\n"
         << "the upper end.\n";
      error_found = true;
    }
  }
 
  // Checks of antenna_response za dimension
  //
  ConstVectorView aresponse_za_grid =
      antenna_response.get_numeric_grid(GFIELD4_ZA_GRID);
  //
  chk_if_increasing("za_grid of *antenna_response*", aresponse_za_grid);
  //
  if (aresponse_za_grid.nelem() < 2) {
    os << "The zenith angle grid of *antenna_response* must have >= 2 values.\n";
    error_found = true;
  }
 
  // Checks of antenna_response aa dimension
  //
  ConstVectorView aresponse_aa_grid =
      antenna_response.get_numeric_grid(GFIELD4_AA_GRID);
  //
  if (antenna_dim == 1) {
    if (aresponse_aa_grid.nelem() != 1) {
      os << "The azimuthal dimension of *antenna_response* must be 1 if\n"
         << "*antenna_dim* equals 1.\n";
      error_found = true;
    }
  } else {
    chk_if_increasing("aa_grid of antenna_response", aresponse_aa_grid);
    //
    if (aresponse_za_grid.nelem() < 2) {
      os << "The zenith angle grid of *antenna_response* must have >= 2\n"
         << "values.\n";
      error_found = true;
    }
  }
 
  // Check of angular grids. These checks differ with antenna_dim
  if (antenna_dim == 1) {
    if (!(is_increasing(sensor_response_dlos_grid(joker, 0)) ||
          is_decreasing(sensor_response_dlos_grid(joker, 0)))) {
      os << "For 1D antennas, the zenith angles in *sensor_response_dlos_grid*\n"
         << "must be sorted, either in increasing or decreasing order.\n"
         << "The original problem is probably found in *mblock_dlos_grid*.\n";
      error_found = true;
    }
 
    else {
      // Check if the za relative grid is outside sensor_response_dlos_grid.
      Numeric za_dlow = 0.0;
      Numeric za_dhigh = 0.0;
      //
      za_dlow = antenna_dlos(0, 0) + aresponse_za_grid[0] -
                min(sensor_response_dlos_grid(joker, 0));
      za_dhigh = max(sensor_response_dlos_grid(joker, 0)) -
                 (last(antenna_dlos(joker, 0)) + last(aresponse_za_grid));
      //
      if (za_dlow < 0) {
        os << "The WSV zenith angle part of *sensor_response_dlos_grid* is too narrow.\n"
           << "It should be expanded with " << -za_dlow
           << " deg in the lower end.\n"
           << "This change should be probably applied to *mblock_dlos_grid*.\n";
        error_found = true;
      }
      if (za_dhigh < 0) {
        os << "The WSV zenith angle part of *sensor_response_dlos_grid* is too narrow.\n"
           << "It should be expanded with " << -za_dhigh
           << " deg in the upper end.\n"
           << "This change should be probably applied to *mblock_dlos_grid*.\n";
        error_found = true;
      }
    }
  } else {
    // Demands differs between the options and checks are done inside
    // sub-functions
  }
 
  // If errors where found throw runtime_error with the collected error
  // message.
  if (error_found) throw runtime_error(os.str());
 
  // And finally check if grids and data size match
  antenna_response.checksize_strict();
 
  // Call the core function
  //
  Sparse hantenna;
  //
  if (antenna_dim == 1)
    antenna1d_matrix(hantenna,
                     antenna_dim,
                     antenna_dlos(joker, 0),
                     antenna_response,
                     sensor_response_dlos_grid(joker, 0),
                     sensor_response_f_grid,
                     npol,
                     sensor_norm);
  else {
 
    if (option_2d == "interp_response" ) {
      antenna2d_interp_response(hantenna,
                                antenna_dim,
                                antenna_dlos,
                                antenna_response,
                                sensor_response_dlos_grid,
                                sensor_response_f_grid,
                                npol);
    }
    else if (option_2d == "gridded_dlos" ) {
      antenna2d_gridded_dlos(hantenna,
                             antenna_dim,
                             antenna_dlos,
                             antenna_response,
                             sensor_response_dlos_grid,
                             sensor_response_f_grid,
                             npol);
    }
 
    else {
      throw runtime_error( "Unrecognised choice for *option_2d*." );
    }
  }
  
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse htmp = sensor_response;
  sensor_response.resize(hantenna.nrows(), htmp.ncols());
  mult(sensor_response, hantenna, htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_dlos_grid
  sensor_response_dlos_grid = antenna_dlos;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseBackend(
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    const ArrayOfIndex& sensor_response_pol_grid,
    const Matrix& sensor_response_dlos_grid,
    const Vector& f_backend,
    const ArrayOfGriddedField1& backend_channel_response,
    const Index& sensor_norm,
    const Verbosity& verbosity) {
  CREATE_OUT3;
 
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
 
  // Initialise an output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // We allow f_backend to be unsorted, but must be inside sensor_response_f_grid
  if (min(f_backend) < min(sensor_response_f_grid)) {
    os << "At least one value in *f_backend* (" << min(f_backend)
       << ") below range\ncovered by *sensor_response_f_grid* ("
       << min(sensor_response_f_grid) << ").\n";
    error_found = true;
  }
  if (max(f_backend) > max(sensor_response_f_grid)) {
    os << "At least one value in *f_backend* (" << max(f_backend)
       << ") above range\ncovered by *sensor_response_f_grid* ("
       << max(sensor_response_f_grid) << ").\n";
    error_found = true;
  }
 
  // Check number of columns in backend_channel_response
  //
  const Index nrp = backend_channel_response.nelem();
  //
  if (nrp != 1 && nrp != f_backend.nelem()) {
    os << "The WSV *backend_channel_response* must have 1 or n elements,\n"
       << "where n is the length of *f_backend*.\n";
    error_found = true;
  }
 
  // If errors where found throw runtime_error with the collected error
  // message (before error message gets too long).
  if (error_found) throw runtime_error(os.str());
 
  Numeric f_dlow = 0.0;
  Numeric f_dhigh = 0.0;
 
  Index freq_full = nrp > 1;
  for (Index i = 0; i < f_backend.nelem(); i++) {
    const Index irp = i * freq_full;
    ConstVectorView bchr_f_grid =
        backend_channel_response[irp].get_numeric_grid(GFIELD1_F_GRID);
 
    if (bchr_f_grid.nelem() != backend_channel_response[irp].data.nelem()) {
      os << "Mismatch in size of grid and data in element " << i
         << "\nof *sideband_response*.\n";
      error_found = true;
    }
 
    if (!is_increasing(bchr_f_grid)) {
      os << "The frequency grid of element " << irp
         << " in *backend_channel_response*\nis not strictly increasing.\n";
      error_found = true;
    }
 
    // Check if the relative grid added to the channel frequencies expands
    // outside sensor_response_f_grid.
    //
    Numeric f1 = f_backend[i] + bchr_f_grid[0] - min(sensor_response_f_grid);
    Numeric f2 =
        (max(sensor_response_f_grid) - f_backend[i]) - last(bchr_f_grid);
    //
    f_dlow = min(f_dlow, f1);
    f_dhigh = min(f_dhigh, f2);
  }
 
  if (f_dlow < 0) {
    os << "The WSV *sensor_response_f_grid* is too narrow. It should be\n"
       << "expanded with " << -f_dlow << " Hz in the lower end. This change\n"
       << "should be applied to either *f_grid* or the sensor part in\n"
       << "front of *sensor_responseBackend*.\n";
    error_found = true;
  }
  if (f_dhigh < 0) {
    os << "The WSV *sensor_response_f_grid* is too narrow. It should be\n"
       << "expanded with " << -f_dhigh << " Hz in the higher end. This change\n"
       << "should be applied to either *f_grid* or the sensor part in\n"
       << "front of *sensor_responseBackend*.\n";
    error_found = true;
  }
 
  // If errors where found throw runtime_error with the collected error
  // message.
  if (error_found) throw runtime_error(os.str());
 
  // Call the core function
  //
  Sparse hbackend;
  //
  spectrometer_matrix(hbackend,
                      f_backend,
                      backend_channel_response,
                      sensor_response_f_grid,
                      npol,
                      nlos,
                      sensor_norm);
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse htmp = sensor_response;
  sensor_response.resize(hbackend.nrows(), htmp.ncols());
  mult(sensor_response, hbackend, htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_f_grid
  sensor_response_f_grid = f_backend;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseBackendFrequencySwitching(
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    const ArrayOfIndex& sensor_response_pol_grid,
    const Matrix& sensor_response_dlos_grid,
    const Vector& f_backend,
    const ArrayOfGriddedField1& backend_channel_response,
    const Index& sensor_norm,
    const Numeric& df1,
    const Numeric& df2,
    const Verbosity& verbosity) {
  // All needed checks are done in sensor_responseBackend
 
  Sparse H1 = sensor_response, H2 = sensor_response;
 
  // Some needed vectors
  Vector f_backend_shifted;
  Vector fdummy = sensor_response_f, fdummy_grid = sensor_response_f_grid;
 
  // Cycle 1
  f_backend_shifted = f_backend;
  f_backend_shifted += df1;
  //
  sensor_responseBackend(H1,
                         fdummy,
                         sensor_response_pol,
                         sensor_response_dlos,
                         fdummy_grid,
                         sensor_response_pol_grid,
                         sensor_response_dlos_grid,
                         f_backend_shifted,
                         backend_channel_response,
                         sensor_norm,
                         verbosity);
  // Cycle 2
  f_backend_shifted = f_backend;
  f_backend_shifted += df2;
  //
  sensor_responseBackend(H2,
                         sensor_response_f,
                         sensor_response_pol,
                         sensor_response_dlos,
                         sensor_response_f_grid,
                         sensor_response_pol_grid,
                         sensor_response_dlos_grid,
                         f_backend_shifted,
                         backend_channel_response,
                         sensor_norm,
                         verbosity);
 
  // Total response
  sub(sensor_response, H2, H1);
 
  // sensor_response_f_grid shall be f_backend
  sensor_response_f_grid = f_backend;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseBeamSwitching(Sparse& sensor_response,
                                  Vector& sensor_response_f,
                                  ArrayOfIndex& sensor_response_pol,
                                  Matrix& sensor_response_dlos,
                                  Matrix& sensor_response_dlos_grid,
                                  const Vector& sensor_response_f_grid,
                                  const ArrayOfIndex& sensor_response_pol_grid,
                                  const Numeric& w1,
                                  const Numeric& w2,
                                  const Verbosity& verbosity) {
  CREATE_OUT3;
 
  if (sensor_response_dlos_grid.nrows() != 2)
    throw runtime_error(
        "This method requires that the number of observation directions is 2.");
 
  if (sensor_response_pol_grid.nelem() != 1)
    throw runtime_error(
        "This method handles (so far) only single polarisation cases.");
 
  const Index n = sensor_response_f_grid.nelem();
 
  // Form H matrix representing beam switching
  Sparse Hbswitch(n, 2 * n);
  Vector hrow(2 * n, 0.0);
  //
  for (Index i = 0; i < n; i++) {
    hrow[i] = w1;
    hrow[i + n] = w2;
    //
    Hbswitch.insert_row(i, hrow);
    //
    hrow = 0;
  }
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse Htmp = sensor_response;
  sensor_response.resize(Hbswitch.nrows(), Htmp.ncols());
  mult(sensor_response, Hbswitch, Htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_za_grid
  const Vector zaaa = sensor_response_dlos_grid(1, joker);
  sensor_response_dlos_grid.resize(1, zaaa.nelem());
  sensor_response_dlos_grid(0, joker) = zaaa;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseFrequencySwitching(
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    const ArrayOfIndex& sensor_response_pol_grid,
    const Matrix& sensor_response_dlos_grid,
    const Verbosity& verbosity) {
  CREATE_OUT3;
 
  if (sensor_response_dlos_grid.nrows() != 1)
    throw runtime_error(
        "This method requires that the number of observation directions is 1.");
 
  if (sensor_response_pol_grid.nelem() != 1)
    throw runtime_error(
        "This method handles (so far) only single polarisation cases.");
 
  const Index n = sensor_response_f_grid.nelem();
  const Index n2 = n / 2;
 
  if (sensor_response.nrows() != n)
    throw runtime_error(
        "Assumptions of method are not fulfilled, "
        "considering number of rows in *sensor_response* "
        "and length of *sensor_response_f_grid*.");
 
  if (!is_multiple(n, 2))
    throw runtime_error(
        "There is an odd number of total frequencies, "
        "which is not consistent with the assumptions of "
        "the method.");
 
  // Form H matrix representing frequency switching
  Sparse Hbswitch(n2, n);
  Vector hrow(n, 0.0);
  //
  for (Index i = 0; i < n2; i++) {
    hrow[i] = -1;
    hrow[i + n2] = 1;
    //
    Hbswitch.insert_row(i, hrow);
    //
    hrow = 0;
  }
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse Htmp = sensor_response;
  sensor_response.resize(Hbswitch.nrows(), Htmp.ncols());
  mult(sensor_response, Hbswitch, Htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_f_grid
  const Vector f = sensor_response_f_grid;
  sensor_response_f_grid.resize(n2);
  sensor_response_f_grid = f[Range(n2, n2)];
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseIF2RF(  // WS Output:
    Vector& sensor_response_f,
    Vector& sensor_response_f_grid,
    // WS Input:
    const Numeric& lo,
    const String& sideband_mode,
    const Verbosity&) {
  // Check that frequencies are not too high. This might be a floating limit.
  // For this we use the variable f_lim, given in Hz.
  Numeric f_lim = 30e9;
  if (max(sensor_response_f_grid) > f_lim)
    throw runtime_error("The frequencies seem to already be given in RF.");
 
  // Lower band
  if (sideband_mode == "lower") {
    sensor_response_f *= -1;
    sensor_response_f_grid *= -1;
    sensor_response_f += lo;
    sensor_response_f_grid += lo;
  }
 
  // Upper band
  else if (sideband_mode == "upper") {
    sensor_response_f += lo;
    sensor_response_f_grid += lo;
  }
 
  // Unknown option
  else {
    throw runtime_error(
        "Only allowed options for *sideband _mode* are \"lower\" and \"upper\".");
  }
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseFillFgrid(Sparse& sensor_response,
                              Vector& sensor_response_f,
                              ArrayOfIndex& sensor_response_pol,
                              Matrix& sensor_response_dlos,
                              Vector& sensor_response_f_grid,
                              const ArrayOfIndex& sensor_response_pol_grid,
                              const Matrix& sensor_response_dlos_grid,
                              const Index& polyorder,
                              const Index& nfill,
                              const Verbosity& verbosity) {
  CREATE_OUT3;
 
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
 
  // Initialise a output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // Check polyorder and nfill
  if (polyorder < 2 || polyorder > 7) {
    os << "Accepted range for *polyorder* is [3,7].\n";
    error_found = true;
  }
  if (nfill < 1) {
    os << "The argument *nfill* must be > 1.\n";
    error_found = true;
  }
 
  // If errors where found throw runtime_error with the collected error
  // message.
  if (error_found) throw runtime_error(os.str());
 
  // New frequency grid
  //
  const Index n1 = nfill + 1;
  const Index n2 = nfill + 2;
  const Index nnew = (nf - 1) * n1 + 1;
  //
  Vector fnew(nnew);
  //
  for (Index i = 0; i < nf - 1; i++) {
    Vector fp(n2);
    nlinspace(fp, sensor_response_f_grid[i], sensor_response_f_grid[i + 1], n2);
    fnew[Range(i * n1, n2)] = fp;
  }
 
  // Find interpolation weights
  //
  ArrayOfGridPosPoly gp(nnew);
  Matrix itw(nnew, polyorder + 1);
  //
  gridpos_poly(gp, sensor_response_f_grid, fnew, polyorder);
  interpweights(itw, gp);
 
  // Set up H for this part
  //
  Sparse hpoly(nnew * npol * nlos, nin);
  Vector hrow(nin, 0.0);
  Index row = 0;
  //
  for (Index ilos = 0; ilos < nlos; ilos++) {
    for (Index iv = 0; iv < nnew; iv++) {
      for (Index ip = 0; ip < npol; ip++) {
        const Index col0 = ilos * nf * npol;
        for (Index i = 0; i < gp[iv].idx.nelem(); i++) {
          const Numeric w = gp[iv].w[i];
          if (abs(w) > 1e-5) {
            hrow[col0 + gp[iv].idx[i] * npol + ip] = w;
          }
        }
        hpoly.insert_row(row, hrow);
        for (Index i = 0; i < gp[iv].idx.nelem(); i++) {
          hrow[col0 + gp[iv].idx[i] * npol + ip] = 0;
        }
        row += 1;
      }
    }
  }
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse htmp = sensor_response;
  sensor_response.resize(hpoly.nrows(), htmp.ncols());
  mult(sensor_response, hpoly, htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_f_grid
  sensor_response_f_grid = fnew;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseInit(Sparse& sensor_response,
                         Vector& sensor_response_f,
                         ArrayOfIndex& sensor_response_pol,
                         Matrix& sensor_response_dlos,
                         Vector& sensor_response_f_grid,
                         ArrayOfIndex& sensor_response_pol_grid,
                         Matrix& sensor_response_dlos_grid,
                         const Vector& f_grid,
                         const Matrix& mblock_dlos_grid,
                         const Index& antenna_dim,
                         const Index& atmosphere_dim,
                         const Index& stokes_dim,
                         const Index& sensor_norm,
                         const Verbosity& verbosity) {
  CREATE_OUT2;
  CREATE_OUT3;
 
  // Check input
 
  // Basic variables
  chk_if_in_range("stokes_dim", stokes_dim, 1, 4);
  chk_if_in_range("antenna_dim", antenna_dim, 1, 2);
  chk_if_bool("sensor_norm", sensor_norm);
 
  // mblock_dlos_grid
  if (mblock_dlos_grid.empty())
    throw runtime_error("*mblock_dlos_grid* is empty.");
  if (mblock_dlos_grid.ncols() > 2)
    throw runtime_error(
        "The maximum number of columns in *mblock_dlos_grid* is two.");
  if (atmosphere_dim < 3) {
    if (mblock_dlos_grid.ncols() != 1)
      throw runtime_error(
          "For 1D and 2D *mblock_dlos_grid* must have exactly one column.");
    if (antenna_dim == 2)
      throw runtime_error(
          "2D antennas (antenna_dim=2) can only be "
          "used with 3D atmospheres.");
  }
 
  // Set grid variables
  sensor_response_f_grid = f_grid;
  sensor_response_dlos_grid = mblock_dlos_grid;
  //
  sensor_response_pol_grid.resize(stokes_dim);
  //
  for (Index is = 0; is < stokes_dim; is++) {
    sensor_response_pol_grid[is] = is + 1;
  }
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
 
  //Set response matrix to identity matrix
  //
  const Index n = sensor_response_f.nelem();
  //
  out2 << "  Initialising *sensor_reponse* as a identity matrix.\n";
  out3 << "  Size of *sensor_response*: " << n << "x" << n << "\n";
  //
  sensor_response.resize(n, n);
  id_mat(sensor_response);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensorOff(Sparse& sensor_response,
               Vector& sensor_response_f,
               ArrayOfIndex& sensor_response_pol,
               Matrix& sensor_response_dlos,
               Vector& sensor_response_f_grid,
               ArrayOfIndex& sensor_response_pol_grid,
               Matrix& sensor_response_dlos_grid,
               Matrix& mblock_dlos_grid,
               const Index& stokes_dim,
               const Vector& f_grid,
               const Verbosity& verbosity) {
  // Checks are done in sensor_responseInit.
  Index antenna_dim;
  AntennaOff(antenna_dim, mblock_dlos_grid, verbosity);
 
  // Dummy variables (The method is independent of atmosphere_dim.
  // atmosphere_dim used below just for some checks when antenna is active, not
  // relevant here. ).
  const Index sensor_norm = 1, atmosphere_dim = 1;
 
  sensor_responseInit(sensor_response,
                      sensor_response_f,
                      sensor_response_pol,
                      sensor_response_dlos,
                      sensor_response_f_grid,
                      sensor_response_pol_grid,
                      sensor_response_dlos_grid,
                      f_grid,
                      mblock_dlos_grid,
                      antenna_dim,
                      atmosphere_dim,
                      stokes_dim,
                      sensor_norm,
                      verbosity);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseMixer(Sparse& sensor_response,
                          Vector& sensor_response_f,
                          ArrayOfIndex& sensor_response_pol,
                          Matrix& sensor_response_dlos,
                          Vector& sensor_response_f_grid,
                          const ArrayOfIndex& sensor_response_pol_grid,
                          const Matrix& sensor_response_dlos_grid,
                          const Numeric& lo,
                          const GriddedField1& sideband_response,
                          const Index& sensor_norm,
                          const Verbosity& verbosity) {
  CREATE_OUT3;
 
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
 
  // Frequency grid of for sideband response specification
  ConstVectorView sbresponse_f_grid =
      sideband_response.get_numeric_grid(GFIELD1_F_GRID);
 
  // Initialise a output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // Check that the lo frequency is within the sensor_response_f_grid
  if (lo <= sensor_response_f_grid[0] || lo >= last(sensor_response_f_grid)) {
    os << "The given local oscillator frequency is outside the sensor\n"
       << "frequency grid. It must be within the *sensor_response_f_grid*.\n";
    error_found = true;
  }
 
  // Checks of sideband_response, partly in combination with lo
  if (sbresponse_f_grid.nelem() != sideband_response.data.nelem()) {
    os << "Mismatch in size of grid and data in *sideband_response*.\n";
    error_found = true;
  }
  if (sbresponse_f_grid.nelem() < 2) {
    os << "At least two data points must be specified in "
       << "*sideband_response*.\n";
    error_found = true;
  }
  if (!is_increasing(sbresponse_f_grid)) {
    os << "The frequency grid of *sideband_response* must be strictly\n"
       << "increasing.\n";
    error_found = true;
  }
  if (fabs(last(sbresponse_f_grid) + sbresponse_f_grid[0]) > 0) {
    os << "The end points of the *sideband_response* frequency grid must be\n"
       << "symmetrically placed around 0. That is, the grid shall cover a\n"
       << "a range that can be written as [-df,df]. \n";
    error_found = true;
  }
 
  // Check that response function does not extend outside sensor_response_f_grid
  Numeric df_high = lo + last(sbresponse_f_grid) - last(sensor_response_f_grid);
  Numeric df_low = sensor_response_f_grid[0] - lo - sbresponse_f_grid[0];
  if (df_high > 0 && df_low > 0) {
    os << "The *sensor_response_f* grid must be extended by at least\n"
       << df_low << " Hz in the lower end and " << df_high << " Hz in the\n"
       << "upper end to cover frequency range set by *sideband_response*\n"
       << "and *lo*. Or can the frequency grid of *sideband_response* be\n"
       << "decreased?";
    error_found = true;
  } else if (df_high > 0) {
    os << "The *sensor_response_f* grid must be extended by at " << df_high
       << " Hz\nin the upper end to cover frequency range set by\n"
       << "*sideband_response* and *lo*. Or can the frequency grid of\n"
       << "*sideband_response* be decreased?";
    error_found = true;
  } else if (df_low > 0) {
    os << "The *sensor_response_f* grid must be extended by at " << df_low
       << " Hz\nin the lower end to cover frequency range set by\n"
       << "*sideband_response* and *lo*. Or can the frequency grid of\n"
       << "*sideband_response* be decreased?";
    error_found = true;
  }
 
  // If errors where found throw runtime_error with the collected error
  // message.
  if (error_found) throw runtime_error(os.str());
 
  //Call the core function
  //
  Sparse hmixer;
  Vector f_mixer;
  //
  mixer_matrix(hmixer,
               f_mixer,
               lo,
               sideband_response,
               sensor_response_f_grid,
               npol,
               nlos,
               sensor_norm);
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse htmp = sensor_response;
  sensor_response.resize(hmixer.nrows(), htmp.ncols());
  mult(sensor_response, hmixer, htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_f_grid
  sensor_response_f_grid = f_mixer;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseMetMM(
    // WS Output:
    Index& antenna_dim,
    Matrix& mblock_dlos_grid,
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    ArrayOfIndex& sensor_response_pol_grid,
    Matrix& sensor_response_dlos_grid,
    Index& sensor_norm,
    // WS Input:
    const Index& atmosphere_dim,
    const Index& stokes_dim,
    const Vector& f_grid,
    const Vector& f_backend,
    const ArrayOfArrayOfIndex& channel2fgrid_indexes,
    const ArrayOfVector& channel2fgrid_weights,
    const String& iy_unit,
    const Matrix& antenna_dlos,
    const ArrayOfString& mm_pol, /* met_mm_polarisation */
    const Vector& mm_ant,        /* met_mm_antenna */
    // Control Parameters:
    const Index& use_antenna,
    const Index& mirror_dza,
    const Verbosity& verbosity) {
  // Input checks
 
  chk_if_bool("use_antenna", use_antenna);
  chk_if_bool("mirror_dza", mirror_dza);
 
  if (mm_ant.nelem())
    throw std::runtime_error(
        "So far inclusion of antenna pattern is NOT supported and\n"
        "*met_mm_antenna* must be empty.\n");
 
  if (!(atmosphere_dim == 1 || atmosphere_dim == 3))
    throw std::runtime_error(
        "This method only supports 1D and 3D atmospheres.");
 
  if (antenna_dlos.empty())
    throw std::runtime_error("*antenna_dlos* is empty.");
 
  if (antenna_dlos.ncols() > 2)
    throw std::runtime_error(
        "The maximum number of columns in *antenna_dlos*"
        "is two.");
 
  // Copy, and possibly extend antenna_dlos
  Matrix antenna_dlos_local;
 
  // Mirror?
  if (mirror_dza) {
    if (antenna_dlos.ncols() > 1)
      throw std::runtime_error(
          "With *mirror_dza* set to true, *antenna_dlos*"
          "is only allowed to have a single column.");
    if (atmosphere_dim != 3)
      throw std::runtime_error("*mirror_dza* only makes sense in 3D.");
    // We don't want to duplicate zero!
    const Index n = antenna_dlos.nrows();
    Index nnew = 0;
    for (Index i = 0; i < n; i++) {
      if (antenna_dlos(i, 0) != 0) {
        nnew += 1;
      }
    }
    antenna_dlos_local.resize(n + nnew, 1);
    antenna_dlos_local(Range(0, n), 0) = antenna_dlos(joker, 0);
    Index pos = n;
    for (Index i = n - 1; i >= 0; i--) {
      if (antenna_dlos(i, 0) != 0) {
        antenna_dlos_local(pos, 0) = -antenna_dlos(i, 0);
        pos += 1;
      }
    }
  } else {
    antenna_dlos_local = antenna_dlos;
  }
 
  // No normalisation needed here, and set antenna_dim=1 as temporary solution
  sensor_norm = 0;
  antenna_dim = 1;
 
  // Create sensor response for mixer+backend, matching one viewing angle
  Sparse sensor_response_single;
  Matrix mblock_dlos_dummy(1, 1);
  mblock_dlos_dummy(0, 0) = 0;
  sensor_responseInit(sensor_response_single,
                      sensor_response_f,
                      sensor_response_pol,
                      sensor_response_dlos,
                      sensor_response_f_grid,
                      sensor_response_pol_grid,
                      sensor_response_dlos_grid,
                      f_grid,
                      mblock_dlos_dummy,
                      antenna_dim,
                      atmosphere_dim,
                      stokes_dim,
                      sensor_norm,
                      verbosity);
  sensor_responseMixerBackendPrecalcWeights(sensor_response_single,
                                            sensor_response_f,
                                            sensor_response_pol,
                                            sensor_response_dlos,
                                            sensor_response_f_grid,
                                            sensor_response_pol_grid,
                                            sensor_response_dlos_grid,
                                            f_backend,
                                            channel2fgrid_indexes,
                                            channel2fgrid_weights,
                                            verbosity);
 
  // Construct complete sensor_response matrix
  const Index num_f = f_grid.nelem();
  const Index nchannels = f_backend.nelem();
  sensor_response = Sparse(nchannels * antenna_dlos_local.nrows(),
                           num_f * stokes_dim * antenna_dlos_local.nrows());
 
  sensor_response_pol_grid.resize(1);
  sensor_response_pol_grid[0] = 1;
 
  if (stokes_dim > 1) {
    // With polarisation
    if (mm_pol.nelem() != nchannels) {
      ostringstream os;
      os << "Length of *met_mm_polarisation* (" << mm_pol.nelem()
         << ") must match\n"
         << "number of channels in *met_mm_backend* (" << nchannels << ").";
      throw std::runtime_error(os.str());
    }
 
    Sparse H_pol;
    Sparse sensor_response_tmp;
 
    for (Index iza = 0; iza < antenna_dlos_local.nrows(); iza++) {
      sensor_response_tmp = Sparse(nchannels, sensor_response_single.ncols());
      met_mm_polarisation_hmatrix(
          H_pol, mm_pol, antenna_dlos_local(iza, 0), stokes_dim, iy_unit);
      mult(sensor_response_tmp, H_pol, sensor_response_single);
      for (Index r = 0; r < sensor_response_tmp.nrows(); r++)
        for (Index c = 0; c < sensor_response_tmp.ncols(); c++) {
          const Numeric v = sensor_response_tmp(r, c);
 
          if (v != 0.)
            sensor_response.rw(iza * nchannels + r,
                               iza * num_f * stokes_dim + c) = v;
        }
    }
  } else {
    // No polarisation
    for (Index iza = 0; iza < antenna_dlos_local.nrows(); iza++) {
      for (Index r = 0; r < sensor_response_single.nrows(); r++)
        for (Index c = 0; c < sensor_response_single.ncols(); c++) {
          const Numeric v = sensor_response_single(r, c);
 
          if (v != 0.)
            sensor_response.rw(iza * nchannels + r,
                               iza * num_f * stokes_dim + c) = v;
        }
    }
  }
 
  antenna_dim = 1;
  // Setup antenna
  if (use_antenna) {
    // FIXME: Do something smart here
    throw std::runtime_error("The antenna hasn't arrived yet.");
  }
 
  // mblock angle grids
  mblock_dlos_grid = antenna_dlos_local;
 
  // Set sensor response aux variables
  sensor_response_dlos_grid = mblock_dlos_grid;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseMixerBackendPrecalcWeights(
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    const ArrayOfIndex& sensor_response_pol_grid,
    const Matrix& sensor_response_dlos_grid,
    const Vector& f_backend,
    const ArrayOfArrayOfIndex& channel2fgrid_indexes,
    const ArrayOfVector& channel2fgrid_weights,
    const Verbosity& verbosity) {
  CREATE_OUT3;
 
  // Some sizes
  const Index nin_f = sensor_response_f_grid.nelem();
  const Index nout_f = f_backend.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nin_f * npol * nlos;
  const Index nout = nout_f * npol * nlos;
 
  // Initialise an output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // We allow f_backend to be unsorted, but must be inside sensor_response_f_grid
  if (nout_f == 0) {
    os << "*f_backend* is empty !!!\n";
    error_found = true;
  }
  if (min(f_backend) < min(sensor_response_f_grid)) {
    os << "At least one value in *f_backend* (" << min(f_backend)
       << ") below range\ncovered by *sensor_response_f_grid* ("
       << min(sensor_response_f_grid) << ").\n";
    error_found = true;
  }
  if (max(f_backend) > max(sensor_response_f_grid)) {
    os << "At least one value in *f_backend* (" << max(f_backend)
       << ") above range\ncovered by *sensor_response_f_grid* ("
       << max(sensor_response_f_grid) << ").\n";
    error_found = true;
  }
 
  // frequency index and weights
  if (channel2fgrid_indexes.nelem() != nout_f) {
    os << "The first size of *channel2fgrid_indexes* an length of *f_backend* "
       << "must be equal.\n";
    error_found = true;
  }
  if (channel2fgrid_weights.nelem() != channel2fgrid_indexes.nelem()) {
    os << "Leading sizes of *channel2fgrid_indexes* and "
       << "*channel2fgrid_weights* differ.\n";
    error_found = true;
  }
  for (Index i = 0; i < nout_f; i++) {
    if (channel2fgrid_indexes[i].nelem() != channel2fgrid_weights[i].nelem()) {
      os << "Mismatch in size between *channel2fgrid_indexes* and "
         << "*channel2fgrid_weights*, found for array/vector with "
         << "index " << i << ".\n";
      error_found = true;
    }
    for (Index j = 0; j < channel2fgrid_indexes[i].nelem(); j++) {
      if (channel2fgrid_indexes[i][j] < 0 ||
          channel2fgrid_indexes[i][j] >= nin_f) {
        os << "At least one value in *channel2fgrid_indexes* is either "
           << " < 0 or is too high considering length of "
           << "*sensor_response_f_grid*.\n";
        error_found = true;
        break;
      }
    }
  }
 
  // If errors where found throw runtime_error with the collected error
  if (error_found) throw runtime_error(os.str());
 
  // Create response matrix
  //
  Sparse hmb(nout, nin);
  {
    // Loop output channels
    for (Index ifr = 0; ifr < nout_f; ifr++) {
      // The summation vector for 1 polarisation and 1 viewing direction
      Vector w1(nin_f, 0.0);
      for (Index j = 0; j < channel2fgrid_indexes[ifr].nelem(); j++) {
        w1[channel2fgrid_indexes[ifr][j]] = channel2fgrid_weights[ifr][j];
      }
 
      // Loop over polarisation and spectra (viewing directions)
      // Weights change only with frequency
      // (this code is copied from function spectrometer_matrix)
      for (Index sp = 0; sp < nlos; sp++) {
        for (Index pol = 0; pol < npol; pol++) {
          // Distribute the compact weight vector into a complte one
          Vector weights_long(nin, 0.0);
          weights_long[Range(sp * nin_f * npol + pol, nin_f, npol)] = w1;
 
          // Insert temp_long into H at the correct row
          hmb.insert_row(sp * nout_f * npol + ifr * npol + pol, weights_long);
        }
      }
    }
  }
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse htmp = sensor_response;
  sensor_response.resize(hmb.nrows(), htmp.ncols());
  mult(sensor_response, hmb, htmp);
 
  // Update sensor_response_f_grid
  sensor_response_f_grid = f_backend;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseMultiMixerBackend(
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    const ArrayOfIndex& sensor_response_pol_grid,
    const Matrix& sensor_response_dlos_grid,
    const Vector& lo_multi,
    const ArrayOfGriddedField1& sideband_response_multi,
    const ArrayOfString& sideband_mode_multi,
    const ArrayOfVector& f_backend_multi,
    const ArrayOfArrayOfGriddedField1& backend_channel_response_multi,
    const Index& sensor_norm,
    const Verbosity& verbosity) {
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
  const Index nlo = lo_multi.nelem();
 
  // Initialise a output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // Check that response data are consistent with respect to number of
  // mixer/reciever chains.
  if (sideband_response_multi.nelem() != nlo) {
    os << "Inconsistency in length between *lo_mixer* and "
       << "*sideband_response_multi*.\n";
    error_found = true;
  }
  if (sideband_mode_multi.nelem() != nlo) {
    os << "Inconsistency in length between *lo_mixer* and "
       << "*sideband_mode_multi*.\n";
    error_found = true;
  }
  if (f_backend_multi.nelem() != nlo) {
    os << "Inconsistency in length between *lo_mixer* and "
       << "*f_backend_multi*.\n";
    error_found = true;
  }
  if (backend_channel_response_multi.nelem() != nlo) {
    os << "Inconsistency in length between *lo_mixer* and "
       << "*backend_channel_response_multi*.\n";
    error_found = true;
  }
 
  // If errors where found throw runtime_error with the collected error
  // message. Data for each mixer and reciever chain are checked below.
  if (error_found) throw runtime_error(os.str());
 
  // Variables for data to be appended
  Array<Sparse> sr;
  ArrayOfVector srfgrid;
  ArrayOfIndex cumsumf(nlo + 1, 0);
 
  for (Index ilo = 0; ilo < nlo; ilo++) {
    // Copies of variables that will be changed, but must be
    // restored for next loop
    Sparse sr1 = sensor_response;
    Vector srf1 = sensor_response_f;
    ArrayOfIndex srpol1 = sensor_response_pol;
    Matrix srdlos1 = sensor_response_dlos;
    Vector srfgrid1 = sensor_response_f_grid;
 
    // Call single reciever methods. Try/catch for improved error message.
    try {
      sensor_responseMixer(sr1,
                           srf1,
                           srpol1,
                           srdlos1,
                           srfgrid1,
                           sensor_response_pol_grid,
                           sensor_response_dlos_grid,
                           lo_multi[ilo],
                           sideband_response_multi[ilo],
                           sensor_norm,
                           verbosity);
 
      sensor_responseIF2RF(
          srf1, srfgrid1, lo_multi[ilo], sideband_mode_multi[ilo], verbosity);
 
      sensor_responseBackend(sr1,
                             srf1,
                             srpol1,
                             srdlos1,
                             srfgrid1,
                             sensor_response_pol_grid,
                             sensor_response_dlos_grid,
                             f_backend_multi[ilo],
                             backend_channel_response_multi[ilo],
                             sensor_norm,
                             verbosity);
    } catch (const runtime_error& e) {
      ostringstream os2;
      os2 << "Error when dealing with receiver/mixer chain (1-based index) "
          << ilo + 1 << ":\n"
          << e.what();
      throw runtime_error(os2.str());
    }
 
    // Store in temporary arrays
    sr.push_back(sr1);
    srfgrid.push_back(srfgrid1);
    //
    cumsumf[ilo + 1] = cumsumf[ilo] + srfgrid1.nelem();
  }
 
  // Append data to create sensor_response_f_grid
  //
  const Index nfnew = cumsumf[nlo];
  sensor_response_f_grid.resize(nfnew);
  //
  for (Index ilo = 0; ilo < nlo; ilo++) {
    for (Index i = 0; i < srfgrid[ilo].nelem(); i++) {
      sensor_response_f_grid[cumsumf[ilo] + i] = srfgrid[ilo][i];
    }
  }
 
  // Append data to create total sensor_response
  //
  const Index ncols = sr[0].ncols();
  const Index npolnew = sensor_response_pol_grid.nelem();
  const Index nfpolnew = nfnew * npolnew;
  //
  sensor_response.resize(nlos * nfpolnew, ncols);
  //
  Vector dummy(ncols, 0.0);
  //
  for (Index ilo = 0; ilo < nlo; ilo++) {
    const Index nfpolthis = (cumsumf[ilo + 1] - cumsumf[ilo]) * npolnew;
 
    assert(sr[ilo].nrows() == nlos * nfpolthis);
    assert(sr[ilo].ncols() == ncols);
 
    for (Index ilos = 0; ilos < nlos; ilos++) {
      for (Index i = 0; i < nfpolthis; i++) {
        // "Poor mans" transfer of a row from one sparse to another
        for (Index ic = 0; ic < ncols; ic++) {
          dummy[ic] = sr[ilo](ilos * nfpolthis + i, ic);
        }
 
        sensor_response.insert_row(ilos * nfpolnew + cumsumf[ilo] * npolnew + i,
                                   dummy);
      }
    }
  }
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responsePolarisation(Sparse& sensor_response,
                                 Vector& sensor_response_f,
                                 ArrayOfIndex& sensor_response_pol,
                                 Matrix& sensor_response_dlos,
                                 ArrayOfIndex& sensor_response_pol_grid,
                                 const Vector& sensor_response_f_grid,
                                 const Matrix& sensor_response_dlos_grid,
                                 const Index& stokes_dim,
                                 const String& iy_unit,
                                 const ArrayOfIndex& instrument_pol,
                                 const Verbosity&) {
  // Some sizes
  const Index nnew = instrument_pol.nelem();
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
 
  // Initialise an output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  Index nfz = nf * nlos;
  Index nin = nfz * npol;
 
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (npol != stokes_dim) {
    os << "Number of input polarisation does not match *stokes_dim*.\n";
    error_found = true;
  }
  if (nnew == 0) {
    os << "The WSV *instrument_pol* can not be empty.\n";
    error_found = true;
  }
  // If errors where found throw runtime_error with the collected error
  // message (before it gets too long)
  if (error_found) throw runtime_error(os.str());
 
  // Check polarisation data more in detail
  for (Index i = 0; i < npol && !error_found; i++) {
    if (sensor_response_pol_grid[i] != i + 1) {
      os << "The input polarisations must be I, Q, U and V (up to "
         << "stokes_dim). It seems that input data are for other "
         << "polarisation components.";
      error_found = true;
    }
  }
  for (Index i = 0; i < nnew && !error_found; i++) {
    if (instrument_pol[i] < 1 || instrument_pol[i] > 10) {
      os << "The elements of *instrument_pol* must be inside the range [1,10].\n";
      error_found = true;
    }
  }
  // If errors where found throw runtime_error with the collected error
  // message (before it gets too long)
  if (error_found) throw runtime_error(os.str());
 
  // If errors where found throw runtime_error with the collected error
  // message
  if (error_found) throw runtime_error(os.str());
 
  // Normalisation weight to apply
  Numeric w = 0.5;
  if (iy_unit == "PlanckBT" || iy_unit == "RJBT") {
    w = 1.0;
  }
 
  // Form H matrix representing polarisation response
  //
  Sparse Hpol(nfz * nnew, nin);
  Vector hrow(nin, 0);
  Index row = 0;
  //
  for (Index i = 0; i < nfz; i++) {
    Index col = i * npol;
    for (Index in = 0; in < nnew; in++) {
      /* Old code, matching older version of stokes2pol
          Index p = instrument_pol[in] - 1;
          //
          for( Index iv=0; iv<pv[p].nelem(); iv++ )
            { hrow[col+iv] = pv[p][iv]; }
          */
      stokes2pol(
          hrow[Range(col, stokes_dim)], stokes_dim, instrument_pol[in], w);
      //
      Hpol.insert_row(row, hrow);
      //
      hrow = 0;
      row += 1;
    }
  }
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse Htmp = sensor_response;
  sensor_response.resize(Hpol.nrows(), Htmp.ncols());
  mult(sensor_response, Hpol, Htmp);
 
  // Update sensor_response_pol_grid
  sensor_response_pol_grid = instrument_pol;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseStokesRotation(Sparse& sensor_response,
                                   const Vector& sensor_response_f_grid,
                                   const ArrayOfIndex& sensor_response_pol_grid,
                                   const Matrix& sensor_response_dlos_grid,
                                   const Index& stokes_dim,
                                   const Vector& stokes_rotation,
                                   const Verbosity&) {
  // Basic checks
  chk_if_in_range("stokes_dim", stokes_dim, 1, 4);
 
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
 
  //---------------------------------------------------------------------------
  // Initialise a output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  // Check special stuff for this method
  if (stokes_dim < 3) {
    os << "To perform a rotation of the Stokes coordinate system,\n"
       << "*stokes_dim* must be >= 3.\n";
    error_found = true;
  }
  if (stokes_rotation.nelem() != nlos) {
    os << "Incorrect number of angles in *stokes_rotation*. The length\n"
       << "of this matrix must match *sensor_response_dlos_grid*.\n";
    error_found = true;
  }
  if (npol != stokes_dim) {
    os << "Inconsistency detected. The length of *sensor_response_pol_grid*\n"
       << "must be equal to *stokes_dim*, and this is not the case.\n";
    error_found = true;
  }
  for (Index is = 0; is < npol; is++) {
    if (sensor_response_pol_grid[is] != is + 1) {
      os << "For this method, the values in *sensor_response_pol_grid* must\n"
         << "be 1,2...stokes_dim. This is not the case, indicating that\n"
         << "some previous sensor part has that the data no longer are\n"
         << "Stokes vectors.\n";
      error_found = true;
      break;
    }
  }
 
  // If errors where found throw runtime_error with the collected error
  // message.
  if (error_found) throw runtime_error(os.str());
  //---------------------------------------------------------------------------
 
  // Set up complete the H matrix for applying rotation
  //
  Sparse H(sensor_response.nrows(), sensor_response.ncols());
  {
    Sparse Hrot(npol, npol);  // Mueller matrix for 1 Stokes vec
    Vector row(H.ncols(), 0);
    Index irow = 0;
    //
    for (Index ilos = 0; ilos < nlos; ilos++) {
      // Rotation matrix for direction of concern
      mueller_rotation(Hrot, npol, stokes_rotation[ilos]);
 
      for (Index ifr = 0; ifr < nf; ifr++) {
        for (Index ip = 0; ip < npol; ip++) {
          // Fill relevant part of row with matching (complete) row
          // in Hrot, and instert this row in H
          for (Index is = 0; is < npol; is++) {
            row[irow + is] = Hrot.ro(ip, is);
          }
          H.insert_row(irow + ip, row);
          // Re-zero row.
          for (Index is = 0; is < npol; is++) {
            row[irow + is] = 0;
          }
        }
        // Update irow, i.e. jump to next frequency
        irow += npol;
      }
    }
  }
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse Htmp = sensor_response;
  sensor_response.resize(Htmp.nrows(), Htmp.ncols());  //Just in case!
  mult(sensor_response, H, Htmp);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseGenericAMSU(  // WS Output:
    Vector& f_grid,
    Index& antenna_dim,
    Matrix& mblock_dlos_grid,
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    ArrayOfIndex& sensor_response_pol_grid,
    Matrix& sensor_response_dlos_grid,
    Index& sensor_norm,
    // WS Input:
    const Index& atmosphere_dim,
    const Index& stokes_dim,
    const Matrix& sensor_description_amsu,
    // WS Generic Input:
    const Numeric& spacing,
    const Verbosity& verbosity) {
  // Number of instrument channels:
  const Index n = sensor_description_amsu.nrows();
  const Index m = sensor_description_amsu.ncols();
 
  // FIXME  - Oscar Isoz-090413
  // add error checks
  //
 
  // The meaning of the columns in sensor_description_amsu is:
  // LO frequency, channel center offset from LO, channel width, second offset from LO (to be extended if needed);
  // (All in Hz.)
  //
  if (5 > sensor_description_amsu.ncols()) {
    ostringstream os;
    os << "Input variable sensor_description_amsu must have atleast five columns, but it has "
       << sensor_description_amsu.ncols() << ".";
    throw runtime_error(os.str());
  }
 
  ConstVectorView lo_multi = sensor_description_amsu(Range(joker), 0);
  ConstMatrixView offset = sensor_description_amsu(
      Range(joker), Range(1, m - 2));  // Remember to ignore column 2..
  ConstVectorView verbosityVectIn =
      sensor_description_amsu(Range(joker), m - 1);
  ConstVectorView width = sensor_description_amsu(Range(joker), m - 2);
 
  //is there any undefined verbosity values in the vector?
  //Set the verbosity to one third of the bandwidth to make sure that the passband flanks does't overlap
  const Numeric minRatioVerbosityVsFdiff =
      10;  // To be used when to passbands are closer then one verbosity value
  Index totNumPb = 0;
  Vector verbosityVect(n);
 
  for (Index idx = 0; idx < n; ++idx) {
    if ((verbosityVectIn[idx] == 0) || (verbosityVectIn[idx] > width[idx])) {
      verbosityVect[idx] = ((Numeric)width[idx]) / 3;
    } else {
      verbosityVect[idx] = verbosityVectIn[idx];
    }
  }
 
  // Create a vector to store the number of passbands (PB) for each channel
  ArrayOfIndex numPBpseudo(n);  // store values used for calc
  ArrayOfIndex numPB(n);        // Store the true values
  // Find the number of IFs for each channel and calculate the number of passbands
  for (Index i = 0; i < n; ++i) {
    numPB[i] = 0;  // make sure that it is zero
    for (Index j = 0; j < (m - 2); ++j) {
      if (j != 2) {
        if (offset(i, j) > 0) {
          numPB[i]++;
        }
      }
    }
    numPB[i] = 1 << (int)numPB[i];  // number of passbands= 2^numLO
    if (numPB[i] == 1) {
      numPBpseudo[i] = 2;
    } else {
      numPBpseudo[i] = numPB[i];
    }
 
    totNumPb += (int)numPB[i];
 
    if (numPB[i] > 4) {
      ostringstream os;
      os << "This function does currently not support more than 4 passbands per channel"
         << numPB[i] << ".";
      throw runtime_error(os.str());
    }
  }
 
  // Find the center frequencies for all sub-channels
  // Create one center frequency for each passband
  ArrayOfArrayOfGriddedField1 backend_channel_response_multi(n);
  ArrayOfVector f_backend_multi(n);  // changed !!!
  for (Index i = 0; i < n; ++i) {
    // Channel frequencies
    Vector& f = f_backend_multi[i];
    f.resize(1);
    f[0] = lo_multi[i] + 0.0 * width[i];  //(offset(i,0)+offset(i,1));
 
    //channel response
    const Index numVal = 4;
    backend_channel_response_multi[i].resize(1);
    GriddedField1& b_resp = backend_channel_response_multi[i][0];
    b_resp.set_name("Backend channel response function");
    b_resp.resize(numVal * numPBpseudo[i]);
    Vector f_range(numVal * numPBpseudo[i]);
    Numeric pbOffset = 0;
    b_resp.set_grid_name(0, "Frequency");
 
    Numeric slope = 0;  // 1900;
    // To avoid overlapping passbands in the AMSU-A sensor, reduce the passbands of each channel by a few Hz
    for (Index pbOffsetIdx = 0; pbOffsetIdx < numPBpseudo[i];
         ++pbOffsetIdx) {  // Filter response
      slope = width[i] / 100;
      f_range[pbOffsetIdx * numVal + 0] = -0.5 * width[i] - 0 * slope;
      f_range[pbOffsetIdx * numVal + 1] = -0.5 * width[i] + 1 * slope;
      f_range[pbOffsetIdx * numVal + 2] = +0.5 * width[i] - 1 * slope;
      f_range[pbOffsetIdx * numVal + 3] = +0.5 * width[i] + 0 * slope;
 
      b_resp.data[pbOffsetIdx * numVal + 0] = 0.0 / (Numeric)numPB[i];
      ;
      b_resp.data[pbOffsetIdx * numVal + 1] = 1.0 / (Numeric)numPB[i];
      b_resp.data[pbOffsetIdx * numVal + 2] = 1.0 / (Numeric)numPB[i];
      b_resp.data[pbOffsetIdx * numVal + 3] = 0.0 / (Numeric)numPB[i];
 
      if (numPB[i] == 1) {
        if (pbOffsetIdx == 0) {
          pbOffset = -0.0 * width[i];
          b_resp.data[pbOffsetIdx * numVal + 0] = 0;
          b_resp.data[pbOffsetIdx * numVal + 1] = 1.0 / 1;
 
          b_resp.data[pbOffsetIdx * numVal + 2] = 1.0 / 1;
          b_resp.data[pbOffsetIdx * numVal + 3] = 1.0 / 1;
          f_range[pbOffsetIdx * numVal + 0] = -0.5 * width[i] - 2 * slope;
          f_range[pbOffsetIdx * numVal + 1] = -0.5 * width[i] - 1 * slope;
          f_range[pbOffsetIdx * numVal + 2] = -0.5 * width[i] + 1 * slope;
          f_range[pbOffsetIdx * numVal + 3] = -0.5 * width[i] + 2 * slope;
        }
        if (pbOffsetIdx == 1) {
          pbOffset = 0.0 * width[i];  //just a dummy band
          b_resp.data[pbOffsetIdx * numVal + 0] = 1.0 / 1;
          b_resp.data[pbOffsetIdx * numVal + 1] = 1.0 / 1;
          b_resp.data[pbOffsetIdx * numVal + 2] = 1.0 / 1;
          b_resp.data[pbOffsetIdx * numVal + 3] = 0;
          f_range[pbOffsetIdx * numVal + 0] = +0.5 * width[i] - 3 * slope;
          f_range[pbOffsetIdx * numVal + 1] = +0.5 * width[i] - 2 * slope;
          f_range[pbOffsetIdx * numVal + 2] = +0.5 * width[i] - 1 * slope;
          f_range[pbOffsetIdx * numVal + 3] = +0.5 * width[i] + 0 * slope - 10;
          // without the extra '-10' it will fail due to too narrow backend sensor response.
        }
      } else if (
          numPB[i] ==
          2) {  // move the passband in frequency to the correct frequency
        if (pbOffsetIdx == 0) {
          pbOffset = -offset(i, 0);
        }
        if (pbOffsetIdx == 1) {
          pbOffset = offset(i, 0);
        }
      }
      if (numPB[i] == 4) {
        if (pbOffsetIdx == 0) {
          pbOffset = -offset(i, 0) - offset(i, 1);
        }
        if (pbOffsetIdx == 1) {
          pbOffset = -offset(i, 0) + offset(i, 1);
        }
        if (pbOffsetIdx == 2) {
          pbOffset = offset(i, 0) - offset(i, 1);
        }
        if (pbOffsetIdx == 3) {
          pbOffset = offset(i, 0) + offset(i, 1);
        }
      }
      for (Index iii = 0; iii < numVal; ++iii) {
        f_range[pbOffsetIdx * numVal + iii] += 1 * pbOffset;
      }
    }
    // Are any passbands overlapping?
    for (Index ii = 2; ii < (f_range.nelem() - 2); ++ii) {
      if (((b_resp.data[ii - 1] == 1) && (b_resp.data[ii] == 0) &&
           (b_resp.data[ii + 1] == 0) && (b_resp.data[ii + 2] == 1))) {
        if ((f_range[ii] >= f_range[ii + 1]))  // Overlapping passbands
        {
          if ((f_range[ii + 2] - f_range[ii - 1]) >
              verbosityVectIn[i])  // difference in frequency between passbands
          {
            f_range[ii + 1] = f_range[ii + 2] - verbosityVectIn[i] / 2;
            f_range[ii] = f_range[ii - 1] + verbosityVectIn[i] / 2;
          } else {
            f_range[ii - 1] = (f_range[ii] + f_range[ii + 2]) / 2 -
                              2 * verbosityVectIn[i] / minRatioVerbosityVsFdiff;
            f_range[ii + 1] = (f_range[ii] + f_range[ii + 2]) / 2 +
                              verbosityVectIn[i] / minRatioVerbosityVsFdiff;
            f_range[ii] =
                f_range[ii - 1] + verbosityVectIn[i] / minRatioVerbosityVsFdiff;
            f_range[ii + 2] =
                f_range[ii + 1] + verbosityVectIn[i] / minRatioVerbosityVsFdiff;
          }
        }
      }
    }
    b_resp.set_grid(0, f_range);
  }
 
  // construct sideband response
  ArrayOfGriddedField1 sideband_response_multi(n);
  for (Index i = 0; i < n; ++i) {
    GriddedField1& r = sideband_response_multi[i];
    r.set_name("Sideband response function");
    r.resize(numPBpseudo[i]);
    Vector f(numPBpseudo[i]);
    if (numPB[i] == 1) {
      r.data[0] = 0.5;
      f[0] = -.0 * width[i];
      r.data[1] = 0.5;
      f[1] = .0 * width[i];
    } else if (numPB[i] == 2) {
      r.data[0] = 1. / (Numeric)numPB[i];
      r.data[1] = 1. / (Numeric)numPB[i];
      f[0] = -1 * offset(i, 0) - 0.5 * width[i];
      f[1] = +1 * offset(i, 0) + 0.5 * width[i];
    } else if (numPB[i] == 4) {
      r.data[0] = 1. / (Numeric)numPB[i];
      r.data[1] = 1. / (Numeric)numPB[i];
      r.data[2] = 1. / (Numeric)numPB[i];
      r.data[3] = 1. / (Numeric)numPB[i];
      f[0] = -offset(i, 0) - offset(i, 1) - 0.5 * width[i];
      ;
      f[1] = -offset(i, 0) + offset(i, 1) - 0.5 * width[i];
      ;
      f[2] = +offset(i, 0) - offset(i, 1) + 0.5 * width[i];
      ;
      f[3] = +offset(i, 0) + offset(i, 1) + 0.5 * width[i];
      ;
    }
    r.set_grid_name(0, "Frequency");
    r.set_grid(0, f);
  }
 
  sensor_norm = 1;
  f_gridFromSensorAMSUgeneric(
      // out
      f_grid,
      // in
      f_backend_multi,
      backend_channel_response_multi,
      spacing,
      verbosityVect,
      verbosity);
 
  // do some final work...
  AntennaOff(antenna_dim, mblock_dlos_grid, verbosity);
 
  sensor_responseInit(
      // out
      sensor_response,
      sensor_response_f,
      sensor_response_pol,
      sensor_response_dlos,
      sensor_response_f_grid,
      sensor_response_pol_grid,
      sensor_response_dlos_grid,
      // in
      f_grid,
      mblock_dlos_grid,
      antenna_dim,
      atmosphere_dim,
      stokes_dim,
      sensor_norm,
      verbosity);
 
  Index numLO = lo_multi.nelem();
  // Variables for data to be appended
  // Based on code from m_sensor->sensor_responseMultiMixerBackend()
  Array<Sparse> sr;
  ArrayOfVector srfgrid;
  ArrayOfIndex cumsumf(numLO + 1, 0);
  const Index nlos = sensor_response_dlos_grid.nrows();
 
  // Do this for all channels ....
  for (Index idxLO = 0; idxLO < numLO; idxLO++) {
    Sparse sr1 = sensor_response;
    Vector srf1 = sensor_response_f;
    ArrayOfIndex srpol1 = sensor_response_pol;
    Matrix srdlos1 = sensor_response_dlos;
    Vector srfgrid1 = sensor_response_f_grid;
 
    sensor_responseBackend(  // out
        sr1,
        srf1,
        srpol1,
        srdlos1,
        srfgrid1,
        //in
        sensor_response_pol_grid,
        sensor_response_dlos_grid,
        f_backend_multi[idxLO],
        backend_channel_response_multi[idxLO],
        sensor_norm,
        verbosity);
 
    // Store in temporary arrays
    sr.push_back(sr1);
    srfgrid.push_back(srfgrid1);
    //
    cumsumf[idxLO + 1] = cumsumf[idxLO] + srfgrid1.nelem();
  }
 
  // Append data to create sensor_response_f_grid
  //
  const Index nfnew = cumsumf[numLO];
  sensor_response_f_grid.resize(nfnew);
  //
  for (Index ilo = 0; ilo < numLO; ilo++) {
    for (Index i = 0; i < srfgrid[ilo].nelem(); i++) {
      sensor_response_f_grid[cumsumf[ilo] + i] = srfgrid[ilo][i];
    }
  }
 
  const Index ncols = sr[0].ncols();
  const Index npolnew = sensor_response_pol_grid.nelem();
  const Index nfpolnew = nfnew * npolnew;
  //
  sensor_response.resize(nlos * nfpolnew, ncols);
  //
  Vector dummy(ncols, 0.0);
  //
  for (Index ilo = 0; ilo < numLO; ilo++) {
    const Index nfpolthis = (cumsumf[ilo + 1] - cumsumf[ilo]) * npolnew;
 
    assert(sr[ilo].nrows() == nlos * nfpolthis);
    assert(sr[ilo].ncols() == ncols);
 
    for (Index ilos = 0; ilos < nlos; ilos++) {
      for (Index i = 0; i < nfpolthis; i++) {
        // "Poor mans" transfer of a row from one sparse to another
        for (Index ic = 0; ic < ncols; ic++) {
          dummy[ic] = sr[ilo](ilos * nfpolthis + i, ic);
        }
 
        sensor_response.insert_row(ilos * nfpolnew + cumsumf[ilo] * npolnew + i,
                                   dummy);
      }
    }
  }
 
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseSimpleAMSU(  // WS Output:
    Vector& f_grid,
    Index& antenna_dim,
    Matrix& mblock_dlos_grid,
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    ArrayOfIndex& sensor_response_pol_grid,
    Matrix& sensor_response_dlos_grid,
    Index& sensor_norm,
    // WS Input:
    const Index& atmosphere_dim,
    const Index& stokes_dim,
    const Matrix& sensor_description_amsu,
    // WS Generic Input:
    const Numeric& spacing,
    const Verbosity& verbosity) {
  // Check that sensor_description_amsu has the right dimension:
  if (3 != sensor_description_amsu.ncols()) {
    ostringstream os;
    os << "Input variable sensor_description_amsu must have three columns, but it has "
       << sensor_description_amsu.ncols() << ".";
    throw runtime_error(os.str());
  }
 
  // Number of instrument channels:
  const Index n = sensor_description_amsu.nrows();
 
  // The meaning of the columns in sensor_description_amsu is:
  // LO frequency, channel center offset from LO, channel width.
  // (All in Hz.)
  ConstVectorView lo_multi = sensor_description_amsu(Range(joker), 0);
  ConstVectorView offset = sensor_description_amsu(Range(joker), 1);
  ConstVectorView width = sensor_description_amsu(Range(joker), 2);
 
  // Channel frequencies:
  ArrayOfVector f_backend_multi(n);
  for (Index i = 0; i < n; ++i) {
    Vector& f = f_backend_multi[i];
    f.resize(1);
    f[0] = lo_multi[i] + offset[i];
  }
 
  // Construct channel response
  ArrayOfArrayOfGriddedField1 backend_channel_response_multi(n);
  for (Index i = 0; i < n; ++i) {
    backend_channel_response_multi[i].resize(1);
    GriddedField1& r = backend_channel_response_multi[i][0];
    r.set_name("Backend channel response function");
    r.resize(2);
 
    // Frequency range:
    Vector f(2);
    f[0] = -0.5 * width[i];
    f[1] = +0.5 * width[i];
    r.set_grid_name(0, "Frequency");
    r.set_grid(0, f);
 
    // Response:
    r.data[0] = 1;
    r.data[1] = 1;
  }
 
  // Construct sideband response:
  ArrayOfGriddedField1 sideband_response_multi(n);
  for (Index i = 0; i < n; ++i) {
    GriddedField1& r = sideband_response_multi[i];
    r.set_name("Sideband response function");
    r.resize(2);
 
    // Frequency range:
    Vector f(2);
    f[0] = -(offset[i] + 0.5 * width[i]);
    f[1] = +(offset[i] + 0.5 * width[i]);
    r.set_grid_name(0, "Frequency");
    r.set_grid(0, f);
 
    // Response:
    r.data[0] = 0.5;
    r.data[1] = 0.5;
  }
 
  // Set sideband mode:
  ArrayOfString sideband_mode_multi(n, "upper");
 
  // We want to automatically normalize the sensor response data, so set sensor_norm to 1:
  sensor_norm = 1;
 
  // Now the rest is just to use some workspace methods:
  // ---------------------------------------------------
 
  f_gridFromSensorAMSU(f_grid,
                       lo_multi,
                       f_backend_multi,
                       backend_channel_response_multi,
                       spacing,
                       verbosity);
 
  AntennaOff(antenna_dim, mblock_dlos_grid, verbosity);
 
  sensor_responseInit(sensor_response,
                      sensor_response_f,
                      sensor_response_pol,
                      sensor_response_dlos,
                      sensor_response_f_grid,
                      sensor_response_pol_grid,
                      sensor_response_dlos_grid,
                      f_grid,
                      mblock_dlos_grid,
                      antenna_dim,
                      atmosphere_dim,
                      stokes_dim,
                      sensor_norm,
                      verbosity);
 
  sensor_responseMultiMixerBackend(sensor_response,
                                   sensor_response_f,
                                   sensor_response_pol,
                                   sensor_response_dlos,
                                   sensor_response_f_grid,
                                   sensor_response_pol_grid,
                                   sensor_response_dlos_grid,
                                   lo_multi,
                                   sideband_response_multi,
                                   sideband_mode_multi,
                                   f_backend_multi,
                                   backend_channel_response_multi,
                                   sensor_norm,
                                   verbosity);
}
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void WMRFSelectChannels(  // WS Output:
    Vector& f_grid,
    Sparse& wmrf_weights,
    Vector& f_backend,
    // WS Input:
    const ArrayOfIndex& wmrf_channels,
    const Verbosity& verbosity) {
  CREATE_OUT2;
  CREATE_OUT3;
 
  // For error messages:
  ostringstream os;
 
  // Some checks of input parameters:
 
  // wmrf_weights must have same number of rows as f_backend, and same
  // number of columns as f_grid.
  if ((wmrf_weights.nrows() != f_backend.nelem()) ||
      (wmrf_weights.ncols() != f_grid.nelem())) {
    os << "The WSV *wmrf_weights* must have same number of rows as\n"
       << "*f_backend*, and same number of columns as *f_grid*.\n"
       << "wmrf_weights.nrows() = " << wmrf_weights.nrows() << "\n"
       << "f_backend.nelem()    = " << f_backend.nelem() << "\n"
       << "wmrf_weights.ncols() = " << wmrf_weights.ncols() << "\n"
       << "f_grid.nelem()       = " << f_grid.nelem();
    throw runtime_error(os.str());
  }
 
  // wmrf_channels must be strictly increasing (no repetitions).
  chk_if_increasing("wmrf_channels", wmrf_channels);
 
  // All selected channels must be within the original set of
  // channels.
  if (min(wmrf_channels) < 0) {
    os << "Min(wmrf_channels) must be >= 0, but it is " << min(wmrf_channels)
       << ".";
  }
  if (max(wmrf_channels) >= f_backend.nelem()) {
    os << "Max(wmrf_channels) must be less than the total number of channels.\n"
       << "(We use zero-based indexing!)\n"
       << "The actual value you have is " << max(wmrf_channels) << ".";
  }
 
  if (wmrf_channels.nelem() == f_backend.nelem()) {
    // No channels to be removed, I can return the original grid.
    out2 << "  Retaining all channels.\n";
  } else {
    out2 << "  Reducing number of channels from " << f_backend.nelem() << " to "
         << wmrf_channels.nelem() << ".\n";
  }
 
  // Now the real work starts:
 
  //  1. Remove unwanted channels from f_backend:
  Select(f_backend, f_backend, wmrf_channels, verbosity);
 
  // 2. Remove unwanted channels from wmrf_weights. (We also have to
  // do something about the frequency dimension of wmrf_weights, but
  // we'll do that later.)
  Select(wmrf_weights, wmrf_weights, wmrf_channels, verbosity);
 
  // 3. Identify, which frequencies are still needed, and which are
  // now obsolete. We store the still needed frequencies in an
  // ArrayOfIndex.
 
  // Create f_grid_array. We do not store the frequencies themselves,
  // but the indices of the frequencies to use.
  ArrayOfIndex selection;
  // Make sure that selection does not have to be reallocated along
  // the way. (This is purely to improve performance a bit.)
  selection.reserve(f_grid.nelem());
 
  // Go through f_grid, and check for each frequency whether it is in
  // the set of WMRF frequencies for any of the channels.
  assert(wmrf_weights.nrows() == f_backend.nelem());
  assert(wmrf_weights.ncols() == f_grid.nelem());
  for (Index fi = 0; fi < wmrf_weights.ncols(); ++fi) {
    Index i;
    for (i = 0; i < wmrf_weights.nrows(); ++i) {
      if (wmrf_weights(i, fi) != 0) {
        selection.push_back(fi);
        break;
      }
    }
    if (i == wmrf_weights.nrows()) {
      out3 << "  The frequency with index " << fi
           << " is not used by any channel.\n";
    }
  }
 
  if (selection.nelem() == f_grid.nelem()) {
    // No frequencies were removed, I can return the original grid.
    out2 << "  No unnecessary frequencies, leaving f_grid untouched.\n";
  } else if (selection.nelem() == 0) {
    throw runtime_error("No frequencies found for any selected channels.\n");
  } else {
    out2 << "  Reducing number of frequency grid points from " << f_grid.nelem()
         << " to " << selection.nelem() << ".\n";
  }
 
  // 4. Select the right frequencies in f_grid:
  Select(f_grid, f_grid, selection, verbosity);
 
  // 5. Select the right frequencies in wmrf_weights. This is a bit
  // tricky, since Select works on the row dimension. So we have to
  // take the transpose.
  Sparse wt(wmrf_weights.ncols(), wmrf_weights.nrows());
  transpose(wt, wmrf_weights);
  Select(wt, wt, selection, verbosity);
  wmrf_weights.resize(wt.ncols(), wt.nrows());
  transpose(wmrf_weights, wt);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void sensor_responseWMRF(  // WS Output:
    Sparse& sensor_response,
    Vector& sensor_response_f,
    ArrayOfIndex& sensor_response_pol,
    Matrix& sensor_response_dlos,
    Vector& sensor_response_f_grid,
    // WS Input:
    const ArrayOfIndex& sensor_response_pol_grid,
    const Matrix& sensor_response_dlos_grid,
    const Sparse& wmrf_weights,
    const Vector& f_backend,
    const Verbosity& verbosity) {
  CREATE_OUT3;
 
  // Some sizes
  const Index nf = sensor_response_f_grid.nelem();
  const Index npol = sensor_response_pol_grid.nelem();
  const Index nlos = sensor_response_dlos_grid.nrows();
  const Index nin = nf * npol * nlos;
 
  // Initialise output stream for runtime errors and a flag for errors
  ostringstream os;
  bool error_found = false;
 
  // Check that sensor_response variables are consistent in size
  if (sensor_response_f.nelem() != nin) {
    os << "Inconsistency in size between *sensor_response_f* and the sensor\n"
       << "grid variables (sensor_response_f_grid etc.).\n";
    error_found = true;
  }
  if (sensor_response.nrows() != nin) {
    os << "The sensor block response matrix *sensor_response* does not have\n"
       << "right size compared to the sensor grid variables\n"
       << "(sensor_response_f_grid etc.).\n";
    error_found = true;
  }
 
  if (nin == 0) {
    os << "One of f_grid, pol_grid, dlos_grid are empty. Sizes are: (" << nf
       << ", " << npol << ", " << nlos << ")"
       << "\n";
    error_found = true;
  }
 
  // Check number of rows in WMRF weight matrix
  //
  const Index nrw = wmrf_weights.nrows();
  //
  if (nrw != f_backend.nelem()) {
    os << "The WSV *wmrf_weights* must have as many rows\n"
       << "as *f_backend* has elements.\n"
       << "wmrf_weights.nrows() = " << nrw << "\n"
       << "f_backend.nelem()    = " << f_backend.nelem() << "\n";
    error_found = true;
  }
 
  // Check number of columns in WMRF weight matrix
  //
  const Index ncw = wmrf_weights.ncols();
  //
  if (ncw != sensor_response_f_grid.nelem()) {
    os << "The WSV *wmrf_weights* must have as many columns\n"
       << "as *sensor_response_f_grid* has elements.\n"
       << "wmrf_weights.ncols()           = " << ncw << "\n"
       << "sensor_response_f_grid.nelem() = " << sensor_response_f_grid.nelem()
       << "\n";
    error_found = true;
  }
 
  // If errors where found throw runtime_error with the collected error
  // message (before error message gets too long).
  if (error_found) throw runtime_error(os.str());
 
  // Ok, now the actual work.
 
  // Here we need a temporary sparse that is copy of the sensor_response
  // sparse matrix. We need it since the multiplication function can not
  // take the same object as both input and output.
  Sparse htmp = sensor_response;
  sensor_response.resize(wmrf_weights.nrows(), htmp.ncols());
  mult(sensor_response, wmrf_weights, htmp);
 
  // Some extra output.
  out3 << "  Size of *sensor_response*: " << sensor_response.nrows() << "x"
       << sensor_response.ncols() << "\n";
 
  // Update sensor_response_f_grid
  sensor_response_f_grid = f_backend;
 
  // Set aux variables
  sensor_aux_vectors(sensor_response_f,
                     sensor_response_pol,
                     sensor_response_dlos,
                     sensor_response_f_grid,
                     sensor_response_pol_grid,
                     sensor_response_dlos_grid);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void ySimpleSpectrometer(Vector& y,
                         Vector& y_f,
                         const Matrix& iy,
                         const Index& stokes_dim,
                         const Vector& f_grid,
                         const Numeric& df,
                         const Verbosity& verbosity) {
  // Some dummy values
  const Index sensor_norm = 1, atmosphere_dim = 1;
 
  // Init sensor reponse
  //
  Index antenna_dim;
  Vector sensor_response_f, sensor_response_f_grid;
  Matrix mblock_dlos_grid, sensor_response_dlos_grid, sensor_response_dlos;
  ArrayOfIndex sensor_response_pol, sensor_response_pol_grid;
  Sparse sensor_response;
  //
  AntennaOff(antenna_dim, mblock_dlos_grid, verbosity);
 
  sensor_responseInit(sensor_response,
                      sensor_response_f,
                      sensor_response_pol,
                      sensor_response_dlos,
                      sensor_response_f_grid,
                      sensor_response_pol_grid,
                      sensor_response_dlos_grid,
                      f_grid,
                      mblock_dlos_grid,
                      antenna_dim,
                      atmosphere_dim,
                      stokes_dim,
                      sensor_norm,
                      verbosity);
 
  // Center position of "channels"
  Vector f_backend;
  linspace(f_backend, f_grid[0] + df / 2, last(f_grid), df);
 
  // Create channel response
  ArrayOfGriddedField1 r;
  backend_channel_responseFlat(r, df, verbosity);
 
  // New sensor response
  sensor_responseBackend(sensor_response,
                         sensor_response_f,
                         sensor_response_pol,
                         sensor_response_dlos,
                         sensor_response_f_grid,
                         sensor_response_pol_grid,
                         sensor_response_dlos_grid,
                         f_backend,
                         r,
                         sensor_norm,
                         verbosity);
 
  // Some sizes
  const Index nf = f_grid.nelem();
  const Index n = sensor_response.nrows();
 
  // Convert iy to a vector
  //
  Vector iyb(nf * stokes_dim);
  //
  for (Index is = 0; is < stokes_dim; is++) {
    iyb[Range(is, nf, stokes_dim)] = iy(joker, is);
  }
 
  // y and y_f
  //
  y_f = sensor_response_f;
  y.resize(n);
  mult(y, sensor_response, iyb);
}
 
 
 
/* Workspace method: Doxygen documentation will be auto-generated */
void yApplySensorPol(Vector& y,
                     Vector& y_f,
                     ArrayOfIndex& y_pol,
                     Matrix& y_pos,
                     Matrix& y_los,
                     ArrayOfVector& y_aux,
                     Matrix& y_geo,
                     Matrix& jacobian,
                     const Index& stokes_dim,
                     const Index& jacobian_do,
                     const Matrix& sensor_pos,
                     const Matrix& sensor_pol,
                     const Verbosity&) {
  // Some sizes
  const Index n1 = y.nelem();
  const Index nm = sensor_pol.nrows();
  const Index nc = sensor_pol.ncols();
  const Index n2 = nm * nc;
 
  // Check consistency of input data
  if (y.empty()) throw runtime_error("Input *y* is empty. Use *yCalc*");
  if (y_f.nelem() != n1)
    throw runtime_error("Lengths of input *y* and *y_f* are inconsistent.");
  if (y_pol.nelem() != n1)
    throw runtime_error("Lengths of input *y* and *y_pol* are inconsistent.");
  if (y_pos.nrows() != n1)
    throw runtime_error("Sizes of input *y* and *y_pos* are inconsistent.");
  if (y_los.nrows() != n1)
    throw runtime_error("Sizes of input *y* and *y_los* are inconsistent.");
  if (y_geo.nrows() != n1)
    throw runtime_error("Sizes of input *y* and *y_geo* are inconsistent.");
  if (jacobian_do) {
    if (jacobian.nrows() != n1)
      throw runtime_error("Sizes of *y* and *jacobian* are inconsistent.");
  }
 
  // Checks associated with the Stokes vector
  if (stokes_dim < 3)
    throw runtime_error(
        "*stokes_dim* must be >= 3 to correctly apply a "
        "polarisation rotation.");
  if (n1 < stokes_dim)
    throw runtime_error("Length of input *y* smaller than *stokes_dim*.");
  for (Index i = 0; i < stokes_dim; i++) {
    if (y_pol[i] != i + 1)
      throw runtime_error(
          "*y* must hold Stokes element values. Data in "
          "*y_pol* indicates that this is not the case.");
  }
 
  // Checks of sensor_pos
  if (sensor_pos.nrows() != nm)
    throw runtime_error(
        "Different number of rows in *sensor_pos* and *sensor_pol*.");
  if (n2 * stokes_dim != n1)
    throw runtime_error(
        "Number of columns in *sensor_pol* not consistent with "
        "length of *y* and value of *stokes_dim*.");
 
  // Make copy of all y variables and jacobian
  const Vector y1 = y, y_f1 = y_f;
  const Matrix y_pos1 = y_pos, y_los1 = y_los, y_geo1 = y_geo;
  const ArrayOfIndex y_pol1 = y_pol;
  const ArrayOfVector y_aux1 = y_aux;
  Matrix jacobian1(0, 0);
  if (jacobian_do) {
    jacobian1 = jacobian;
  }
 
  // Resize the y variables and jacobian
  y.resize(n2);
  y_f.resize(n2);
  y_pol.resize(n2);
  y_pos.resize(n2, y_pos1.ncols());
  y_los.resize(n2, y_los1.ncols());
  y_geo.resize(n2, y_geo1.ncols());
  for (Index a = 0; a < y_aux.nelem(); a++) y_aux[a].resize(n2);
  if (jacobian_do) {
    jacobian.resize(n2, jacobian1.ncols());
  }
 
  for (Index r = 0; r < nm; r++) {
    for (Index c = 0; c < nc; c++) {
      const Index iout = r * nc + c;
      const Index iin = iout * stokes_dim;
 
      const Numeric wq = cos(2 * DEG2RAD * sensor_pol(r, c));
      const Numeric wu = sin(2 * DEG2RAD * sensor_pol(r, c));
 
      // Extract radiance for polarisation angle of concern
      y[iout] = y1[iin] + wq * y1[iin + 1] + wu * y1[iin + 2];
 
      // Same operation for jacobian
      if (jacobian_do) {
        for (Index q = 0; q < jacobian.ncols(); q++)
          jacobian(iout, q) = jacobian1(iin, q) + wq * jacobian1(iin + 1, q) +
                              wu * jacobian1(iin + 2, q);
      }
 
      // Set y_pol
      y_pol[iout] = (Index)sensor_pol(r, c);
 
      // For the rest, copy value matching I of in-data
      y_f[iout] = y_f1[iin];
      y_pos(iout, joker) = y_pos1(iin, joker);
      y_los(iout, joker) = y_los1(iin, joker);
      y_geo(iout, joker) = y_geo1(iin, joker);
      for (Index a = 0; a < y_aux.nelem(); a++) y_aux[a][iout] = y_aux1[a][iin];
    }
  }
}