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SHPowerSpectrumC (Fortran) |
spherical harmonics software package, spherical harmonic transform, legendre functions, multitaper spectral analysis, fortran, Python, gravity, magnetic field |
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shpowerspectrumc.html |
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Compute the power spectrum of a complex function.
call SHPowerSpectrumC (cilm, lmax, pspectrum, exitstatus)
cilm : input, complex(dp), 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 spectrum. This must be less than or equal to lmaxin.
pspectrum : output, real(dp), dimension (lmax+1)
: The power spectrum of the complex function.
exitstatus : output, optional, integer
: If present, instead of executing a STOP when an error is encountered, the variable exitstatus will be returned describing the error. 0 = No errors; 1 = Improper dimensions of input array; 2 = Improper bounds for input variable; 3 = Error allocating memory; 4 = File IO error.
SHPowerSpectrumC will calculate the power spectrum of a complex function expressed in complex 4-pi normalized 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.
shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumdensityc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc