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SHCrossPowerDensityLC
Compute the cross-power spectral density of two complex functions for a single spherical harmonic degree.
Usage
cpsd
= pyshtools.SHCrossPowerDensityLC (cilm1
, cilm2
, l
)
Returns
cpsd
: complex- The cross-power spectral density of the two complex functions for spherical harmonic degree
l
.
Parameters
cilm1
: complex, dimension (2,lmaxin1
+1,lmaxin1
+1)- The first complex function expressed in complex spherical harmonics.
cilm2
: complex, dimension (2,lmaxin2
+1,lmaxin2
+1)- The second complex function expressed in complex spherical harmonics.
l
: integer- The spherical harmonic degree. This must be less than or equal to the minimum of
lmaxin1
andlmaxin2
.
Description
SHCrossPowerDensityLC
will calculate the cross-power spectral density of two complex functions expressed in complex spherical harmonics for a single spherical harmonic degree l
. This is calculated as:
cpsd = Sum_{i=0}^1 Sum_{m=0}^l cilm1[i, l, m] * conjg[cilm2[i, l, m]] / (2l + 1)
.
See also
shpowerlc, shpowerdensitylc, shcrosspowerlc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc
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