SHTOOLS --- Tools for working with spherical harmonics

> Home > Documentation > Fortran 95 > Global Spectral Analysis

SHPowerSpectrumDensityC

Compute the power spectral density of a complex function.

Usage

call SHPowerSpectrumDensityC (cilm, lmax, pspectrum)

Parameters

cilm : input, complex*16, dimension (2, lmaxin+1, lmaxin+1)
The complex function expressed in complex spherical harmonics.
lmax : input, integer
The maximum spherical harmonic degree of the power spectral density. This must be less than or equal to lmaxin.
pspectrum : output, real*8, dimension (lmax+1)
The power spectral density of the function.

Description

SHPowerSpectrumDensityC will calculate the power spectral density of a complex function expressed in complex spherical harmonics. For a given spherical harmonic degree l, this is calculated as:

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

See also

shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc

> Home > Documentation > Fortran 95 > Global Spectral Analysis

Institut de Physique du Globe de Paris University of Sorbonne Paris Cité © 2016 SHTOOLS