SHTOOLS --- Tools for working with spherical harmonics

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SHPowerDensityLC

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

Usage

psd = pyshtools.SHPowerDensityLC (cilm, l)

Returns

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

Parameters

cilm : complex, dimension (2, lmaxin+1, lmaxin+1)
The complex function expressed in complex spherical harmonics.
l : integer
The spherical harmonic degree. This must be less than or equal to lmaxin

Description

SHPowerDensityLC will calculate the power spectral density of a complex function expressed in complex spherical harmonics for a single spherical harmonic degree l. This is calculated as:

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

See also

shpowerlc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc

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