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SHPowerSpectrumDensity
Compute the power spectral density of a real function.
Usage
pspectrum
= pyshtools.SHPowerSpectrumDensity (cilm
, [lmax
])
Returns
pspectrum
: float, dimension (lmax
+1)- The power spectral density of the function.
Parameters
cilm
: float, dimension (2,lmaxin
+1,lmaxin
+1)- The real 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
SHPowerSpectrumDensity
will calculate the power spectral density of a function expressed in real spherical harmonics. For a given spherical harmonic degree l
, this is explicitly calculated as:
pspectrum(l) = Sum_{i=0}^1 Sum_{m=0}^l cilm[i, l, m]**2 / (2l + 1)
.
See also
shpowerl, shpowerdensityl, shcrosspowerl, shcrosspowerdensityl, shpowerspectrum, shcrosspowerspectrum, shcrosspowerspectrumdensity, shadmitcorr
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