> Home > Documentation > Python

Global and Localized Spectral Analysis

Global spectral analysis
`spectrum`	Calculate the spectrum of a real or complex function.
`cross_spectrum`	Calculate the cross-spectrum of a real or complex function.
`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.
Multitaper spectral estimation (spherical cap domain)
`SHMultiTaperSE`	Perform a localized multitaper spectral analysis.
`SHMultiTaperCSE`	Perform a localized multitaper cross-spectral analysis.
`SHLocalizedAdmitCorr`	Calculate the localized admittance and correlation spectra of two functions at a given location.
`SHReturnTapers`	Calculate the eigenfunctions of the spherical-cap concentration problem.
`SHReturnTapersM`	Calculate the eigenfunctions of the spherical-cap concentration problem for a single angular order.
`ComputeDm`	Compute the space-concentration kernel of a spherical cap.
`ComputeDG82`	Compute the tridiagonal matrix of Grünbaum et al. (1982) that commutes with the space-concentration kernel of a spherical cap.
`SHFindLWin`	Determine the spherical-harmonic bandwidth that is necessary to achieve a certain concentration factor.
`SHBiasK`	Calculate the multitaper (cross-)power spectrum expectation of a windowed function.
`SHMTCouplingMatrix`	Calculate the multitaper coupling matrix for a given set of localization windows.
`SHBiasAdmitCorr`	Calculate the expected multitaper admittance and correlation spectra associated with the input global cross-power spectra of two functions.
`SHMTDebias`	Invert for the global power spectrum given a localized multitaper spectrum estimate.
`SHMTVarOpt`	Calculate the minimum variance and corresponding optimal weights of a localized multitaper spectral estimate.
`SHSjkPG`	Calculate the expectation of the product of two functions, each multiplied by a different data taper, for a given spherical harmonic degree and two different angular orders.
Localization windows (arbitrary domain)
`SHReturnTapersMap`	Calculate the eigenfunctions of the concentration problem for an arbitrary concentration region.
`SHBiasKMask`	Calculate the multitaper (cross-)power spectrum expectation of a function localized by arbitrary windows derived from a mask.
`SHMultiTaperMaskSE`	Perform a localized multitaper spectral analysis using arbitrary windows.
`SHMultiTaperMaskCSE`	Perform a localized multitaper cross-spectral analysis using arbitrary windows.
`ComputeDMap`	Compute the space-concentration kernel of a mask defined on the sphere.
`Curve2Mask`	Given a set of latitude and longitude coordinates representing a closed curve, output a gridded mask.
Localization Bias (General)
`SHBias`	Calculate the (cross-)power spectrum expectation of a windowed function.
Other
`SphericalCapCoef`	Calculate the spherical harmonic coefficients of a spherical cap.

> Home > Documentation > Python

Laboratoire Lagrange

Observatoire de la Côte d'Azur