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Published December 1, 1987 | public
Journal Article Open

Alias-free, real coefficient m-band QMF banks for arbitrary m

Abstract

Based on a generalized framework for alias free QMF banks, a theory is developed for the design of uniform QMF banks with real-coefficient analysis filters, such that aliasing can be completely canceled by appropriate choice of real-coefficient synthesis filters. These results are then applied for the derivation of closed-form expressions for the synthesis filters (both FIR and IIR), that ensure cancelation of aliasing for a given set of analysis filters. The results do not involve the inversion of the alias-component (AC) matrix.

Additional Information

© Copyright 1987 IEEE. Reprinted with permission. Manuscript received May 5, 1986; revised February 25, 1987. This work was supported in part by the National Science Foundation under Grant DCI 8552579, and in part by, Caltech's Programs in Advanced Technology Grant sponsored by Aerojet General, General Motors, GTE, and TRW. The authors wish to thank Dr. R. E. Crochiere of the AT&T Bell Labs for encouraging discussions, and Dr. M. Vetterli of Columbia University, New York, for drawing our attention to [10] during our ICASSP '86 meeting.

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August 22, 2023
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October 16, 2023