Determine the spherical-harmonic bandwidth that is necessary to achieve a certain concentration factor.
Usage
lwin
= SHFindLWin (theta0
, m
, alpha
, taper_number
)
Parameters
lwin
: output, integer(int32)- The spherical harmonic bandwidth
theta0
: input, real(dp)- The angular radius of the spherical cap in radians.
m
: input, integer(int32)- The angular order of the taper.
alpha
: input, real(dp)- The desired concentration factor of the window. This must lie between 0 and 1.
taper_number
: optional, input, integer(int32), 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.
See also
computedg82, computedm, shreturntapers, shreturntapersm
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