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Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks

Vaidyanathan, P. P. and Hoang, Phunog-Quan (1988) Lattice structures for optimal design and robust implementation of two-channel perfect-reconstruction QMF banks. IEEE Transactions on Acoustics, Speech, and Signal Processing, 36 (1). pp. 81-94. ISSN 0096-3518. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp88b

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Abstract

A lattice structure and an algorithm are presented for the design of two-channel QMF (quadrature mirror filter) banks, satisfying a sufficient condition for perfect reconstruction. The structure inherently has the perfect-reconstruction property, while the algorithm ensures a good stopband attenuation for each of the analysis filters. Implementations of such lattice structures are robust in the sense that the perfect-reconstruction property is preserved in spite of coefficient quantization. The lattice structure has the hierarchical property that a higher order perfect-reconstruction QMF bank can be obtained from a lower order perfect-reconstruction QMF bank, simply by adding more lattice sections. Several numerical examples are provided in the form of design tables.


Item Type:Article
Additional Information:© Copyright 1988 IEEE Manuscript received March 28, 1987; revised July 15, 1987. This work was supported in part by the National Science Foundation under Grant DCI 8552579, by the matching funds provided by Pacific Bell and General Electric Co., by Caltech’s Programs in Advanced Technology Grant sponsored by Aerojet General, General Motors, GTE and TRW. and by the National Science Foundation under Grant MIP 8604456.
Subject Keywords:digital filters; filtering and prediction theory; optimisation
Record Number:CaltechAUTHORS:VAIieeetassp88b
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetassp88b
Alternative URL:http://dx.doi.org/10.1109/29.1491
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5487
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:20 Oct 2006
Last Modified:26 Dec 2012 09:13

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