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Published January 1, 1993 | public
Journal Article Open

A Spectral Factorization Approach to Pseudo-QMF Design


A new approach to the design of M-channel pseudoquadrature-mirror-filter (QMF) banks is presented. In this approach, the prototype filter is obtained as a spectral factor of a 2Mth band filter. This completely eliminates the need for optimization whereas in conventional pseudo-QMF designs, the main computational effort is in optimization of the prototype. As in the conventional approach, the aliasing cancellation (AC) constraint ensures that all the significant aliasing terms are canceled. The overall transfer function T(z) of the analysis/synthesis system has a linear phase and an approximately "flat" magnitude response in the frequency region ε ≤ ω ≤ (π - ε), where ε depends on the transition bandwidth of the prototype and 0 < ε < (π/2M). Three design examples are included.

Additional Information

© Copyright 1993 IEEE. Reprinted with permission. Manuscript received December 10, 1990; revised December 13, 1991. This work was supported in part by the National Science Foundation under Grants DCI 85 52579, MIP 86 04456. and MIP 89 19196, with matching funds from Hughes Aircraft Company, and Tektronix, Inc. The authors are indebted to I. Djokovic for suggesting the optimization of θ0, and for generously supplying Design Example 3.


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