SHTOOLS --- Tools for working with spherical harmonics

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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 and lmaxin2.

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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