Compute the power spectral density of a complex function.
Usage
call SHPowerSpectrumDensityC (cilm, lmax, pspectrum, exitstatus)
Parameters
cilm: input, complex(dp), dimension (2,lmaxin+1,lmaxin+1)- The complex function expressed in complex spherical harmonics.
lmax: input, integer(int32)- The maximum spherical harmonic degree of the power spectral density. This must be less than or equal to
lmaxin. pspectrum: output, real(dp), dimension (lmax+1)- The power spectral density of the function.
exitstatus: output, optional, integer(int32)- 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.
Description
SHPowerSpectrumDensityC will calculate the power spectral density 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 / (2l + 1).
See also
shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shcrosspowerspectrumc, shcrosspowerspectrumdensityc
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