Compute the cross-power of two complex functions for a single spherical harmonic degree.
cpower
= SHCrossPowerLC (cilm1
, cilm2
, l
)
cpower
: output, complex(dp)
: Cross power of the two complex functions for spherical harmonic degree l
.
cilm1
: input, complex(dp), dimension (2, lmaxin1
+1, lmaxin1
+1)
: The first complex function expressed in complex spherical harmonics.
cilm2
: input, complex(dp), dimension (2, lmaxin2
+1, lmaxin2
+1)
: The second complex function expressed in complex spherical harmonics.
l
: input, integer(int32)
: The spherical harmonic degree. This must be less than or equal to the minimum of lmaxin1
and lmaxin2
.
SHCrossPowerLC
will calculate the spectral cross-power of two complex functions expressed in complex 4-pi normalized spherical harmonics for a single spherical harmonic degree l
. This is calculated as:
cpower = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * conjg[cilm2(i, l+1, m+1)]
.
shpowerlc, shpowerdensitylc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc