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SHCrossPowerL (Fortran) |
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, fortran, Python, gravity, magnetic field |
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shcrosspowerl.html |
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Compute the cross-power of two real functions for a single spherical harmonic degree.
cpower = SHCrossPowerL (cilm1, cilm2, l)
cpower : output, real(dp)
: The cross power of the two functions for spherical harmonic degree l.
cilm1 : input, real(dp), dimension (2, lmaxin1+1, lmaxin1+1)
: The spherical harmonic coefficients of the first function.
cilm2 : input, real(dp), dimension (2, lmaxin2+1, lmaxin2+1)
: The spherical harmonic coefficients of the second function.
l : input, integer
: The spherical harmonic degree. This must be less than or equal to the minimum of lmaxin1 and lmaxin2.
SHCrossPowerL will calculate the cross-power of two functions expressed in 4-pi normalized spherical harmonics for a single spherical harmonic degree l. This is explicitly calculated as:
cpower = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * cilm2(i, l+1, m+1).
shpowerl, shpowerdensityl, shcrosspowerdensityl, shpowerspectrum, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr