Compute the cross-power spectral density of two real functions for a single spherical harmonic degree.
cpsd = SHCrossPowerDensityL (cilm1, cilm2, l)
cpsd : output, real*8
: Cross-power spectral density of the two real functions for spherical harmonic degree l.
cilm1 : input, real*8, dimension (2, lmaxin1+1, lmaxin1+1)
: The spherical harmonic coefficients of the first real function.
cilm2 : input, real*8, dimension (2, lmaxin2+1, lmaxin2+1)
: The spherical harmonic coefficients of the second real function.
l : input, integer
: The spherical harmonic degree. This must be less than or equal to the minimum of lmaxin1 and lmaxin2.
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).
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