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