Title :
On the relationship between pseudo-QMF designs and perfect-reconstruction solutions for modulated filter banks
Author_Institution :
Kiel Univ., Germany
Abstract :
The classical pseudo-QMF approach for modulated filter banks is related to a previously published general perfect reconstruction (PR) description for integer oversampling ratios. It is shown that a pseudo-QMF prototype approximately satisfies the PR conditions, where the error depends on the remaining linear distortions and on the stopband attenuation of the prototype. For the non-subsampled case the pseudo-QMF and the PR condition are equivalent. Furthermore, an upper bound for the PR-approximation error can be given, when the maximum allowable deviation from the ideal flat frequency response of the analysis-synthesis system is specified.
Keywords :
approximation theory; channel bank filters; error analysis; frequency response; network synthesis; quadrature mirror filters; signal reconstruction; signal sampling; analysis-synthesis system; flat frequency response; integer oversampling ratios; linear distortions; modulated filter banks; nonsubsampled case; perfect-reconstruction approximation error; perfect-reconstruction solutions; pseudo-QMF design; stopband attenuation; upper bound; Approximation error; Circuits and systems; Delay; Design methodology; Electronic mail; Filter bank; Frequency; Passband; Prototypes; Upper bound;
Conference_Titel :
Signals, Systems, and Computers, 1999. Conference Record of the Thirty-Third Asilomar Conference on
Conference_Location :
Pacific Grove, CA, USA
Print_ISBN :
0-7803-5700-0
DOI :
10.1109/ACSSC.1999.832022
