shcrosspowerdensityl(1)

SHCrossPowerDensityL

Compute the cross-power spectral density of two real functions for a single spherical harmonic degree.

Usage

cpsd = SHCrossPowerDensityL (cilm1, cilm2, l)

Parameters

cpsd : output, real(dp)
    Cross-power spectral density of the two real functions for spherical harmonic degree l.

cilm1 : input, real(dp), dimension (2, lmaxin1+1, lmaxin1+1)
    The spherical harmonic coefficients of the first real function.

cilm2 : input, real(dp), dimension (2, lmaxin2+1, lmaxin2+1)
    The spherical harmonic coefficients of the second real function.

l : input, integer(int32)
    The spherical harmonic degree. This must be less than or equal to the minimum of lmaxin1 and lmaxin2.

Description

SHCrossPowerDensityL will calculate the cross-power spectral density of two real functions expressed in real 4-pi normalized spherical harmonics for a single spherical harmonic degree l. This is explicitly calculated as:

cpsd = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * cilm2(i, l+1, m+1) / (2l + 1).

See also

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