ParametrizationGnssAntenna

Parametrization of antenna center variations. It will be used to set up the design matrix in a least squares adjustment. Usually the parametrization is setup separately for different gnssType.

If multiple parametrizations are given the parameters are sequently appended in the design matrix and parameter vector.

Center

Antenna center or, if setup for a specific gnssType, phase/code center offset (e.g. *1*G for GPS L1 phase center offset) in $[m]$.

The parameter names are

NameTypeAnnotation
estimateX
boolean
estimateY
boolean
estimateZ
boolean

SphericalHarmonics

Parametrization of antenna center variations in $[m]$ in terms of spherical harmonics. As usually only data above the horizon are observed only the even spherical harmonics (degree/order $m+n$ even), which are symmetric to the equator, are setup.

The total count of parameters is $((n_{max}+1)(n_{max}+2)-n_{min}(n_{min}+1)/2$ and the parameter names are

NameTypeAnnotation
minDegree
uintmin degree
maxDegree
uintmax degree

RadialBasis

Parametrization of antenna center variations with radial basis functions \[ ACV(\M x(A, E)) = \sum_i a_i \Phi(\M x\cdot\M x_i) \]where $a_i$ in $[m]$ the coefficients which has to be estimated and $\Phi$ are the basis functions \[ \Phi(\cos\psi) = \sum_n \sqrt{2n+1}P_n(\cos\psi). \] The parameter names are *:antennaCenterVariations.radialBasis.<index>.<total count>:*:*.

parametrizationGnssAntennaRadialBasis
Figure: Nodal points of the basis functions using a Reuter grid for transmitting satellites (view angle of 18 deg). The red line indicates the view angle of 14 deg of ground stations.

NameTypeAnnotation
grid
gridnodal points of shannon kernels
minDegree
uintmin degree of shannon kernel
maxDegree
uintmax degree of shannon kernel