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GABRIESZBOUNDS - Calculate Riesz sequence/basis bounds of Gabor frame

Usage

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

Input parameters

g The window function.
a Length of time shift.
M Number of channels.
L Length of transform to consider.

Output parameters

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

Description

gabrieszbounds(g,a,M) calculates the ratio \(B/A\) of the Riesz bounds of the Gabor system with window g, and parameters a, M.

[A,B]=gabrieszbounds(g,a,M) calculates the Riesz bounds A and B instead of just the ratio.

The window g may be a vector of numerical values, a text string or a cell array. See the help of gabwin for more details.

If the optional parameter L is specified, the window is cut or zero-extended to length L.