SHFindLWin()

Determine the spherical-harmonic bandwidth that is necessary to achieve a certain concentration factor.

Usage

lwin = SHFindLWin (theta0, m, alpha, [taper_number])

Returns

lwin : integer

The spherical harmonic bandwidth.

Parameters

theta0 : float

The angular radius of the spherical cap in radians.

m : integer

The angular order of the taper.

alpha : float

The desired concentration factor of the window. This must lie between 0 and 1.

taper_number : optional, integer, default = 1

The taper number corresponding to the angular order m. The default is to use the first taper.

Description

SHFindLWin will determine the spherical harmonic bandwidth that is required for a window of the spherical-cap concentration problem to achive a certain concentration factor. By default, the first taper corresponding to the angular order m will be used, but this can be modified by specifying the optional argument taper_number.

References

Wieczorek, M. A. and F. J. Simons, Localized spectral analysis on the sphere, Geophys. J. Int., 162, 655-675, 2005.