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Optimal Cosine Modulated Nonuniform Linear Phase FIR Filter Bank Design via Stretching and Shifting Frequency Response of Prototype Filter

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Open access
Authors
Ho, C.
Ling, B.
Benmesbah, L.
Kok, T.
Siu, W.
Teo, Kok Lay
Date
2010
Type
Conference Paper

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Ho, C.YF. and Ling, B.W.K. and Benmesbah, L. and Kok, T.C.W. and Siu, W.C. and Teo, K.L. 2010. Optimal Cosine Modulated Nonuniform Linear Phase FIR Filter Bank Design via Stretching and Shifting Frequency Response of Prototype Filter, in Ghassemlooy, Z. and Ng, W.P. (ed), International Symposium on Communication Systems, Networks, and Digital Signal Processing, Jul 21 2010, pp. 545-550. Newcastle, United Kingdom: Institute of Electrical and Electronics Engineers (IEEE).
Source Title
Proceedings of the Seventh IEEE, IET International Symposium on Communication Systems, Networks, and Digital Signal Processing
Source Conference
International Symposium on Communication Systems, Networks, and Digital Signal Processing
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School
Department of Mathematics and Statistics
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Abstract

This paper proposes an optimal cosine modulated nonuniform linear phase finite impulse response (FIR) filterbank design. The frequency responses of all the analysis filters and the synthesis filters of the filter bank are derived based on both stretching and shifting the frequency response of the prototype filter. The total aliasing error of the filter bank is minimized subject to a specification on the maximum amplitude distortion of the filter bank as well as specifications on both the maximum passband ripple magnitude and the maximum stopband ripple magnitude of the prototype filter. This filter bank design problem is actually a functional inequality constrained optimization problem. Our recently developed integration approach is employed for solving the problem. Computer numerical simulation results show that our proposed design method outperforms existing design methods.