Compute the cross-power spectral density of two real functions for a single spherical harmonic degree.
Usage
cpsd = SHCrossPowerDensityL (cilm1, cilm2, l)
Parameters
cpsd: output, real(dp)- Cross-power spectral density of the two real functions for spherical harmonic degree
l. cilm1: input, real(dp), dimension (2,lmaxin1+1,lmaxin1+1)- The spherical harmonic coefficients of the first real function.
cilm2: input, real(dp), dimension (2,lmaxin2+1,lmaxin2+1)- The spherical harmonic coefficients of the second real function.
l: input, integer(int32)- The spherical harmonic degree. This must be less than or equal to the minimum of
lmaxin1andlmaxin2.
Description
SHCrossPowerDensityL will calculate the cross-power spectral density of two real functions expressed in real 4-pi normalized spherical harmonics for a single spherical harmonic degree l. This is explicitly calculated as:
cpsd = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * cilm2(i, l+1, m+1) / (2l + 1).
See also
shpowerl, shpowerdensityl, shcrosspowerl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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