Compute the cross-power spectral density of two complex functions for a single spherical harmonic degree.
Usage
cpsd = SHCrossPowerDensityLC (cilm1, cilm2, l)
Parameters
cpsd: output, complex(dp)- The cross-power spectral density of the two complex functions for spherical harmonic degree
l. cilm1: input, complex(dp), dimension (2,lmaxin1+1,lmaxin1+1)- The first complex function expressed in complex spherical harmonics.
cilm2: input, complex(dp), dimension (2,lmaxin2+1,lmaxin2+1)- The second complex function expressed in complex spherical harmonics.
l: input, integer(int32)- The spherical harmonic degree. This must be less than or equal to the minimum of
lmaxin1andlmaxin2.
Description
SHCrossPowerDensityLC will calculate the cross-power spectral density of two complex functions expressed in complex 4-pi normalized spherical harmonics for a single spherical harmonic degree l. This is calculated as:
cpsd = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * conjg[cilm2(i, l+1, m+1)] / (2l + 1).
See also
shpowerlc, shpowerdensitylc, shcrosspowerlc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc
Edit me