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SHCrossPowerSpectrumDensityC
Compute the cross-power spectral density of two complex functions.
Usage
call SHCrossPowerSpectrumDensityC (cilm1
, cilm2
, lmax
, cspectrum
)
Parameters
cilm1
: input, complex*16, dimension (2,lmaxin1
+1,lmaxin1
+1)- The complex spherical harmonics of the first complex function.
cilm2
: input, complex*16, dimension (2,lmaxin2
+1,lmaxin2
+1)- The complex spherical harmonics of the first complex function.
lmax
: input, integer- The maximum spherical harmonic degree of the cross power spectral density. This must be less than or equal to the minimum of
lmaxin1
andlmaxin2
. cspectrum
: output, complex*16, dimension (lmax
+1)- The cross-power spectral density of the two complex functions.
Description
SHCrossPowerSpectrumDensityC
will calculate the cross-power spectral density of two complex functions expressed in complex spherical harmonics. For a given spherical harmonic degree l
, this is calculated as:
cspectrum(l) = 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, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc
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