GnssAntennaNormalsConstraint

Apply constraints to normal equations containing antennaCenterVariations. Usually the antenna center variations are estimated together with other parameters like station coordinates, signal biases and slant TEC in GnssProcessing. This results in a rank deficient matrix as not all parameters can be separated. The deficient can be solved by adding pseudo observation equations as constraints.

To separate antenna center variations and signal biases apply constraint:mean for each GNSS type. The observation equation for the integral mean of antenna center variations (ACV) in all azimuth $A$ and elevation $E$ dependent directions \[ 0 = \iint ACV(A,E)\, d\Phi \approx \sum_i ACV(A_i,E_i)\, \Delta\Phi_i \]is approximated by a grid defined by deltaAzimuth, deltaZenith, and maxZenith.

To separate from station coordinates use constraint:centerMean and from slant TEC parameters use constraint:TEC.

The constraints are applied separately to all antennas matching the wildcard patterns of name, serial, radome.

See also ParameterVector2GnssAntennaDefinition.

Name	Type	Annotation
outputfileNormalEquation	filename	with applied constraints
inputfileNormalEquation	filename
constraint	choice
center	sequence	zero center (x,y,z) of a single pattern
type	gnssType	applied for each matching types
applyWeight	boolean	from normal equations
sigma	double	[m]
centerMean	sequence	zero center (x,y,z) as (weighted) mean of all patterns
applyWeight	boolean	from normal equations
sigma	double	[m]
constant	sequence	zero constant (mean of all directions) of a single pattern
type	gnssType	applied for each matching types
applyWeight	boolean	from normal equations
sigma	double	[m]
constantMean	sequence	zero constant (mean of all directions) as (weighted) mean of all patterns
applyWeight	boolean	from normal equations
sigma	double	[m]
TEC	sequence	zero TEC computed as (weighetd) least squares from all types
type	gnssType	applied for combination of matching types
applyWeight	boolean	from normal equations
sigma	double	[TECU]
antennaCenterVariations	parametrizationGnssAntenna
antennaName	string	apply constraints to all machting antennas
antennaSerial	string	apply constraints to all machting antennas
antennaRadome	string	apply constraints to all machting antennas
deltaAzimuth	angle	[degree] sampling of pattern to estimate center/constant
deltaZenith	angle	[degree] sampling of pattern to estimate center/constant
maxZenith	angle	[degree] sampling of pattern to estimate center/constant