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SHPowerSpectrum

Compute the power spectrum of a real function.

Usage

call SHPowerSpectrum (cilm, lmax, pspectrum )

Parameters

cilm : input, real*8, dimension (2, lmaxin+1, lmaxin+1)
The function expressed in real spherical harmonics.
lmax : input, integer
The maximum spherical harmonic degree used in calculating the power spectrum. This must be less than or equal to lmaxin.
pspectrum : output, real*8, dimension (lmax+1)
The power spectrum of the function.

Description

SHPowerSpectrum will calculate the power spectrum of a function expressed in real spherical harmonics. For a given spherical harmonic degree l, this is calculated explicitly as:

pspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l cilm(i, l+1, m+1)**2.

See also

shpowerl, shpowerdensityl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr

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