Compute the cross-power spectrum of two complex functions.
call SHCrossPowerSpectrumC (cilm1
, cilm2
, lmax
, cspectrum
)
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 second complex function.
lmax
: input, integer
: The maximum spherical harmonic degree of the cross power spectrum. This must be less than or equal to the minimum of lmaxin1
and lmaxin2
.
cspectrum
: output, complex*16, dimension (lmax
+1)
: The cross-power spectrum of the two complex functions.
SHCrossPowerSpectrumC
will calculate the cross-power spectrum 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)]
.
shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumdensityc