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NSGABFRAMEBOUNDS - Frame bounds of non-stationary Gabor frame

Usage

fcond=nsgabframebounds(g,a,M);
[A,B]=nsgabframebounds(g,a,M);

Input parameters

g Cell array of windows
a Vector of time positions of windows.
M Vector of numbers of frequency channels.

Output parameters

fcond Frame condition number (\(B/A\))
A, B Frame bounds.

Description

nsgabframebounds(g,a,Ls) calculates the ratio \(B/A\) of the frame bounds of the non-stationary discrete Gabor frame defined by windows given in g at positions given by a. Please see the help on nsdgt for a more thourough description of g and a.

[A,B]=nsgabframebounds(g,a,Ls) returns the actual frame bounds A and B instead of just the their ratio.

The computed frame bounds are only valid for the 'painless case' when the number of frequency channels used for computation of nsdgt is greater than or equal to the window length. This correspond to cases for which the frame operator is diagonal.

References:

P. Balazs, M. Dörfler, F. Jaillet, N. Holighaus, and G. A. Velasco. Theory, implementation and applications of nonstationary Gabor frames. J. Comput. Appl. Math., 236(6):1481--1496, 2011. [ .pdf ]