Calculate the eigenfunctions of the spherical-cap concentration problem for a single angular order.
eigenvalues = SHReturnTapersM (
tapers: float, dimension (
- The spherical harmonic coefficients of the
lmax+1localization windows, arranged in columns. The first and last rows of each column correspond to spherical harmonic degrees 0 and
lmax, respectively, and the columns are arranged from best to worst concentrated.
eigenvalues: float, dimension (
- The concentration factors of the localization windows.
- The angular radius of the spherical cap in radians.
- The spherical harmonic bandwidth of the localization windows.
- The angular order of the localization windows.
SHReturnTapersM will calculate the eigenfunctions (i.e., localization windows) of the spherical-cap concentration problem for a singular angular order. The spherical harmonic coefficients of each window are given in the columns of
tapers, and the corresponding concentration factors are given in
eigenvaules. The columns of
tapers are ordered from best to worst concentrated, and the first and last rows of each column correspond to spherical harmonic degrees 0 and
lmax, respectively. The localization windows are normalized such that they have unit power.
Wieczorek, M. A. and F. J. Simons, Localized spectral analysis on the sphere,
Geophys. J. Int., 162, 655-675, 2005.
Simons, F.J., F.A. Dahlen, and M.A. Wieczorek, Spatiospectral concentration on a sphere,
SIAM Review, 48, 504-536, 2006.