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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 and lmaxin2.

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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