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FILTERBANKREALBOUNDS - Frame bounds of filter bank for real signals only

Usage

fcond=filterbankrealbounds(g,a,L);
[A,B]=filterbankrealbounds(g,a,L);
[...]=filterbankrealbounds(g,a);

Description

filterbankrealbounds(g,a,L) calculates the ratio \(B/A\) of the frame bounds of the filterbank specified by g and a for a system of length L. The ratio is a measure of the stability of the system. Use this function on the common construction where the filters in g only covers the positive frequencies.

filterbankrealbounds(g,a) does the same, but the filters must be FIR filters, as the transform length is unspecified. L will be set to next suitable length equal or bigger than the longest impulse response such that L=filterbanklength(gl_longest,a).

[A,B]=filterbankrealbounds(g,a) returns the lower and upper frame bounds explicitly.