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SHCrossPowerDensityL
Compute the cross-power spectral density of two real functions for a single spherical harmonic degree.
Usage
cpsd
= pyshtools.SHCrossPowerDensityL (cilm1
, cilm2
, l
)
Returns
cpsd
: float- Cross-power spectral density of the two real functions for spherical harmonic degree
l
.
Parameters
cilm1
: float, dimension (2,lmaxin1
+1,lmaxin1
+1)- The spherical harmonic coefficients of the first real function.
cilm2
: float, dimension (2,lmaxin2
+1,lmaxin2
+1)- The spherical harmonic coefficients of the second real function.
l
: integer- The spherical harmonic degree. This must be less than or equal to the minimum of
lmaxin1
andlmaxin2
.
Description
SHCrossPowerDensityL
will calculate the cross-power spectral density of two real functions expressed in real spherical harmonics for a single spherical harmonic degree l
. This is explicitly calculated as:
cpsd = Sum_{i=0}^1 Sum_{m=0}^l cilm1[i, l, m] * cilm2[i, l, m] / (2l + 1)
.
See also
shpowerl, shpowerdensityl, shcrosspowerl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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