Compute the cross-power of two complex functions for a single spherical harmonic degree.
Usage
cpower
= SHCrossPowerLC (cilm1
, cilm2
, l
)
Parameters
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
andlmaxin2
.
Description
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)]
.
See also
shpowerlc, shpowerdensitylc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc
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