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Localized spectral analysis

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)

SHMultiTaperMaskSE Perform a localized multitaper spectral analysis using arbitrary windows.
SHMultiTaperMaskCSE Perform a localized multitaper cross-spectral analysis using arbitrary windows.
SHReturnTapersMap Calculate the eigenfunctions of the concentration problem for an arbitrary concentration region.
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.

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