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SHCrossPowerSpectrumC

Compute the cross-power spectrum of two complex functions.

Usage

cspectrum = pyshtools.SHCrossPowerSpectrumC (cilm1, cilm2, [lmax])

Returns

cspectrum : complex, dimension (lmax+1)
The cross-power spectrum 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 second complex function.
lmax : optional, integer, default = min(lmaxin1, lmaxin2)
The maximum spherical harmonic degree of the cross power spectrum. This must be less than or equal to the minimum of lmaxin1 and lmaxin2.

Description

SHCrossPowerSpectrumC will calculate the cross-power spectrum 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]].

See also

shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumdensityc

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