A Class of Multi-Channel Cosine Modulated IIR Filter Banks

This paper presents a class of multi-channel cosine-modulated filter banks satisfying the perfect reconstruction (PR) property using an IIR prototype filter. By imposing a suitable structure on the polyphase filter coefficients, we show that it is possible to greatly simplify the PR condition, while preserving the causality and stability of the system. We derive closed-form expressions for the synthesis filters and also study the numerical stability of the filter bank using frame theoretic bounds. Further, we show that it is possible to implement this filter bank with much lower number of arithmetic operations when compared to FIR filter banks with comparable performance. The filter bank's modular structure also lends itself to efficient VLSI implementation.

[1]  P. P. Vaidyanathan,et al.  Cosine-modulated FIR filter banks satisfying perfect reconstruction , 1992, IEEE Trans. Signal Process..

[2]  Martin Vetterli,et al.  Oversampled filter banks , 1998, IEEE Trans. Signal Process..

[3]  S.C. Chan,et al.  Theory and design of a class of M-channel IIR cosine-modulated filter banks , 2000, IEEE Signal Processing Letters.

[4]  T. Parks,et al.  A class of infinite-duration impulse response digital filters for sampling rate reduction , 1979 .

[5]  K.M.M. Prabhu,et al.  A class of M-channel reduced complexity IIR cosine modulated filter banks , 2003, TENCON 2003. Conference on Convergent Technologies for Asia-Pacific Region.

[6]  Jörg Kliewer,et al.  Oversampled cosine-modulated filter banks with arbitrary system delay , 1998, IEEE Trans. Signal Process..

[7]  E. D. Re,et al.  Design of biorthogonal M-channel cosine-modulated FIR/IIR filter banks , 2000, IEEE Trans. Signal Process..

[8]  T. Parks,et al.  Design of recursive digital filters with optimum magnitude and attenuation poles on the unit circle , 1978 .

[9]  Robert Bregovic,et al.  Multirate Systems and Filter Banks , 2002 .

[10]  S. Biyiksiz,et al.  Multirate digital signal processing , 1985, Proceedings of the IEEE.

[11]  Per Löwenborg,et al.  A class of cosine-modulated causal IIR filter banks , 2002, 9th International Conference on Electronics, Circuits and Systems.

[12]  P. Yip,et al.  Fast Discrete Transforms , 1987 .

[13]  Helmut Bölcskei,et al.  Frame-theoretic analysis of oversampled filter banks , 1998, IEEE Trans. Signal Process..

[14]  S.C. Chan,et al.  The factorization of M-channel FIR and IIR cosine-modulated filter banks and their multiplier-less realizations using SOPOT coefficients , 2004, The 2004 47th Midwest Symposium on Circuits and Systems, 2004. MWSCAS '04..

[15]  Truong Q. Nguyen,et al.  A general formulation of modulated filter banks , 1999, IEEE Trans. Signal Process..

[16]  Vivek K. Goyal,et al.  Filter bank frame expansions with erasures , 2002, IEEE Trans. Inf. Theory.