SHTOOLS --- Tools for working with spherical harmonics

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SHPowerDensityL

Compute the power spectral density of a real function for a single spherical harmonic degree.

Usage

psd = pyshtools.SHPowerDensityL (cilm, l)

Returns

psd : float
Power spectral density of the function for the spherical harmonic degree l.

Parameters

cilm : float, dimension (2, lmaxin+1, lmaxin+1)
The function expressed in real spherical harmonics.
l : integer
The spherical harmonic degree.

Description

SHPowerDensityL will calculate the power spectral density of a function expressed in real spherical harmonics for a single degree l. This is explicitly calculated as:

psd = Sum_{i=0}^1 Sum_{m=0}^l cilm[i, l, m]**2 / (2l + 1).

See also

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

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