Compute the power spectral density of a complex function.
call SHPowerSpectrumDensityC (cilm
, lmax
, pspectrum
)
cilm
: input, complex*16, dimension (2, lmaxin
+1, lmaxin
+1)
: The complex function expressed in complex spherical harmonics.
lmax
: input, integer
: The maximum spherical harmonic degree of the power spectral density. This must be less than or equal to lmaxin
.
pspectrum
: output, real*8, dimension (lmax
+1)
: The power spectral density of the function.
SHPowerSpectrumDensityC
will calculate the power spectral density of a complex function expressed in complex spherical harmonics. For a given spherical harmonic degree l
, this is calculated as:
pspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l | cilm(i, l+1, m+1) |**2 / (2l + 1)
.
shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc