Real spectral analysis

Routine name Description
SHPowerL Compute the power of a real function for a single spherical harmonic degree.
SHPowerDensityL Compute the power spectral density of a function for a single spherical harmonic degree.
SHCrossPowerL Compute the cross-power of two functions for a single spherical harmonic degree.
SHCrossPowerDensityL Compute the cross-power spectral density of two functions for a single spherical harmonic degree.
SHPowerSpectrum Compute the power spectrum of a function.
SHPowerSpectrumDensity Compute the power spectral density of a function.
SHCrossPowerSpectrum Compute the cross-power spectrum of two functions.
SHCrossPowerSpectrumDensity Compute the cross-power spectral density of two functions.
SHAdmitCorr Calculate the admittance and correlation spectra of two functions.
SHConfidence Compute the probability that two sets of spherical harmonic coefficients are correlated at a given degree and for a given correlation coefficient.

Complex spectral analysis

Routine name Description
SHPowerLC Compute the power of a complex function for a single spherical harmonic degree.
SHPowerDensityLC Compute the power spectral density of a complex function for a single spherical harmonic degree.
SHCrossPowerLC Compute the cross-power of two complex functions for a single spherical harmonic degree.
SHCrossPowerDensityLC Compute the cross-power spectral density of two complex functions for a single spherical harmonic degree.
SHPowerSpectrumC Compute the power spectrum of a complex function.
SHPowerSpectrumDensityC Compute the power spectral density of a complex function.
SHCrossPowerSpectrumC Compute the cross-power spectrum of two complex functions.
SHCrossPowerSpectrumDensityC Compute the cross-power spectral density of two complex functions.