Compute the power spectral density of a real function for a single spherical harmonic degree.
Usage
psd = SHPowerDensityL (cilm, l)
Parameters
psd: output, real(dp)- Power spectral density of the function for the spherical harmonic degree
l. cilm: input, real(dp), dimension (2,lmaxin+1,lmaxin+1)- The function expressed in real spherical harmonics.
l: input, integer(int32)- The spherical harmonic degree. This must be less than or equal to
lmaxin.
Description
SHPowerDensityL will calculate the power spectral density of a function expressed in real 4-pi normalized spherical harmonics for a single degree l. This is explicitly calculated as:
psd = Sum_{i=1}^2 Sum_{m=0}^l cilm(i, l+1, m+1)**2 / (2l + 1).
See also
shpowerl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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