Compute the cross-power spectrum of two complex functions.
Usage
call SHCrossPowerSpectrumC (cilm1, cilm2, lmax, cspectrum, exitstatus)
Parameters
cilm1: input, complex(dp), dimension (2,lmaxin1+1,lmaxin1+1)- The complex spherical harmonics of the first complex function.
cilm2: input, complex(dp), dimension (2,lmaxin2+1,lmaxin2+1)- The complex spherical harmonics of the second complex function.
lmax: input, integer(int32)- The maximum spherical harmonic degree of the cross power spectrum. This must be less than or equal to the minimum of
lmaxin1andlmaxin2. cspectrum: output, complex(dp), dimension (lmax+1)- The cross-power spectrum of the two complex functions.
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
SHCrossPowerSpectrumC will calculate the cross-power spectrum of two complex functions expressed in complex 4-pi normalized spherical harmonics. For a given spherical harmonic degree l, this is calculated as:
cspectrum(l) = Sum_{i=1}^2 Sum_{m=0}^l cilm1(i, l+1, m+1) * conjg[cilm2(i, l+1, m+1)].
See also
shpowerlc, shpowerdensitylc, shcrosspowerlc, shcrosspowerdensitylc, shpowerspectrumc, shpowerspectrumdensityc, shcrosspowerspectrumdensityc
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