Compute the power spectral density of a real function for a single spherical harmonic degree.
psd
= SHPowerDensityL (cilm
, l
)
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
.
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)
.
shpowerl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr