Two-Channel Linear Phase FIR QMF Bank Minimax Design via Global Nonconvex Optimization Programming

Ho, C.Y.-F. and Ling, B.W.-K. and Benmesbah, L. and Kok, T.C.-W. and Teo, K.-L. 2010. Two-Channel Linear Phase FIR QMF Bank Minimax Design via Global Nonconvex Optimization Programming. IEEE Transactions on Signal Processing. 58 (8): pp. 4436-4441.

Source Title

IEEE Transactions on Signal Processing

DOI

10.1109/TSP.2010.2049107

ISSN

1053-587X

School

Department of Mathematics and Statistics

Remarks

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URI

http://hdl.handle.net/20.500.11937/3602

Collection

Curtin Research Publications

Abstract

In this correspondence, a two-channel linear phase finite-impulse-response (FIR) quadrature mirror filter (QMF) bank minimax design problem is formulated as a nonconvex optimization problem so that a weighted sum of the maximum amplitude distortion of the filter bank, the maximum passband ripple magnitude and the maximum stopband ripple magnitude of the prototype filter is minimized subject to specifications on these performances. A modified filled function method is proposed for finding the global minimum of the nonconvex optimization problem. Computer numerical simulations show that our proposed design method is efficient and effective.