measurement_vec

Workspace.measurement_vec: Vector

The measurement vector for, e.g., a sensor.

This is the core variable describing the measured data, or the model of measured data. It is the vector that is used in the inversion process to retrieve a model state vector.

This must often be the same size as measurement_sensor.

The notation in ARTS, for the purpose of OEM(), is that

\[\vec{y} = \mathbf{F}\left(\vec{x}\right) + \vec{y}_\epsilon\left(\vec{x}\right) + \epsilon\]

where \(\mathbf{F}\) is the forward model function of the physics of the simulation space, \(\vec{x}\) is the model_state_vec, \(\vec{y}_\epsilon\) is the measurement_vec_error, and \(\epsilon\) are any additional errors, such as random noise.

Throughout ARTS, measurement_vec have different contextual meanings. These are:

  1. \(\vec{y}\) - the measured data by a sensor, i.e., the vector of observations.

  2. \(\vec{y} - \epsilon\) - e.g., the best fit to measured data, measurement_vec_fit.

  3. \(\mathbf{F}\left(\vec{x}\right)\) - i.e., the physical model of the measurement.

Effective local shape

[NMEAS]

Input to workspace methods

  • OEM()

  • measurement_sensor_metaFromMeasurementVec()

  • measurement_vec_fitFromMeasurement()

  • model_state_vecFromRadarOnionPeeling()

Modified by workspace method

  • measurement_vecConditionalAddError()

Output from workspace methods

  • measurement_vecFromOperatorPath()

  • measurement_vecFromRadarSingleScattering()

  • measurement_vecFromSensor()

Related workspace variables

  • measurement_vec_error

  • measurement_vec_error_covmat

  • measurement_vec_fit

  • model_state_vec

  • model_state_vec_apriori

  • single_nlte_srcvec

  • single_nlte_srcvec_jac

  • single_nlte_srcvec_jac_path

  • single_nlte_srcvec_path

  • spectral_absvec_scat

  • spectral_absvec_scat_path

  • spectral_nlte_srcvec

  • spectral_nlte_srcvec_jac

  • spectral_nlte_srcvec_jac_path

  • spectral_nlte_srcvec_jac_profile

  • spectral_nlte_srcvec_path

  • spectral_nlte_srcvec_profile

  • spectral_rad_srcvec_path