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