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SHPowerSpectrum
Compute the power spectrum of a real function.
Usage
pspectrum
= pyshtools.SHPowerSpectrum (cilm
, [lmax
])
Returns
pspectrum
: float, dimension (lmax
+1)- The power spectrum of the function.
Parameters
cilm
: float, dimension (2,lmaxin
+1,lmaxin
+1)- The function expressed in real spherical harmonics.
lmax
: optional, integer, default =lmaxin
- The maximum spherical harmonic degree used in calculating the power spectrum. This must be less than or equal to
lmaxin
.
Description
SHPowerSpectrum
will calculate the power spectrum of a function expressed in real spherical harmonics. For a given spherical harmonic degree l
, this is calculated explicitly as:
pspectrum(l) = Sum_{i=0}^1 Sum_{m=0}^l cilm[i, l, m]**2
.
See also
shpowerl, shpowerdensityl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrumdensity, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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