Compute the power spectral density of a complex function for a single spherical harmonic degree.
psd
= SHPowerDensityLC (cilm
, l
)
psd
: output, real(dp)
: Power spectral density of the complex function for spherical harmonic degree l
.
cilm
: input, complex(dp), dimension (2, lmaxin
+1, lmaxin
+1)
: The complex function expressed in complex spherical harmonics.
l
: input, integer(int32)
: The spherical harmonic degree. This must be less than or equal to lmaxin
.
SHPowerDensityLC
will calculate the power spectral density of a complex function expressed in complex 4-pi normalized spherical harmonics for a single spherical harmonic degree l
. This is calculated as:
psd = Sum_{i=1}^2 Sum_{m=0}^l | cilm(i, l+1, m+1) |**2 / (2l + 1)
.
shpowerlc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc