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International Journal of Image, Graphics and Signal Processing(IJIGSP)

ISSN: 2074-9074 (Print), ISSN: 2074-9082 (Online)

Published By: MECS Press

IJIGSP Vol.4, No.2, Mar. 2012

Cosine Modulated Non-Uniform Filter Bank with Improved Computational Efficiency

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Author(s)

Jyotsna v. Ogale,Alok Jain

Index Terms

Cosine modulation,non-uniform filter bank,near perfect reconstruction

Abstract

In this correspondence, a simple design method for multirate near perfect reconstruction (NPR) integer decimated filter bank with non-uniform frequency spacing and linear phase property, that involves optimization of only single parameter, is proposed. It is derived from the uniform cosine modulated filter bank (CMFB) by merging some relevant band pass filters. The design procedure and the structure of the uniform CMFB are mostly preserved in the non-uniform implementation. The parent filter of the filter bank is formulated as an interpolated finite impulse response (IFIR) filter. The IFIR digital filters permit efficient hardware implementations due to less number of multiplier coefficients. Design examples show that the proposed approach provides good performance with less computational complexity at the cost of slight increase in system delay.

Cite This Paper

Jyotsna v. Ogale,Alok Jain,"Cosine Modulated Non-Uniform Filter Bank with Improved Computational Efficiency", IJIGSP, vol.4, no.2, pp.1-8, 2012.

Reference

[1]P.P.Vaidyanathan, Multirate Systems and Filterbanks, Prentice-Hall, Englewood Cliffs, NJ, 1993.

[2]Q.G. Liu, B. Champagne, D.K.C. Ho, “Simple design of over sampled uniform DFT filterbanks with application to sub-band acoustic echo cancellation”, IEEE Trans. on Signal Processing, .80(5), (2000), pp. 831-847.

[3]G.Gu., E.F. Badran, “Optimal design for channel equalization via the filterbank approach”, IEEE Trans. on Signal Processing,52(2), (2004), pp. 536-544.

[4]G.Shi, X.Xie and W.Zhong, “Recent advances and new design method in nonuniform filterbanks”, Proc. of IEEE Int. Conf. on Communications, Circuits and Systems, vol.1, (May 2006), pp. 211-215.

[5]X.M. Xie, X.Y. Chen and G, M, Shi,“A simple design method of linear-phase non-uniform filterbanks with integer decimation factors”, Proc. of Int. Symposium on Circuit and Systems, vol. 1,(Aug. 2006), pp. 724-727.

[6]X.M. Xie, S. C. Chan and T. I. Yuk, “A class of perfect reconstruction nonuniform cosine-modulated filter-bank with dynamic recombination”, Proc. of XI European Signal Processing Conf., Toulouse, France, vol. 2, (Sept. 2002), pp. 549-552.,

[7]S. C. Chan and X. M. Xie, “A rational subdivision scheme using cosine-modulated wavelets”, Proc. of Int. Symposium on Circuits and Systems, Vancouver, Canada, vol. 3, (May 2004), pp. 409-412.

[8]S. C. Chan, X. M. Xie and T. I. Yuk, “Theory and design of a class of cosine-modulated nonuniform filterbanks”, Proc of IEEE Int. Conf. on Acoustics Speech, and Signal Processing, Istanbul, Turkey, vol.1,(June 2000), pp.504-507.

[9]E. Elias, P.Lowenborg, H. Johansson and L.Wanhammar, “Tree-structured IIR/FIR octave-band filterbanks with very low-complexity analysis filters”, IEEE Int. Symp. on Circuits and Systems (ISCAS), vol.2, (May 2001), pp. 533-536.

[10]O. A. Niamut and R. Heusdens, “Sub-band merging in cosine-modulated filterbanks”, IEEE Signal Processing letter, 10(4), (Apr. 2003), pp. 111– 114.

[11]J.Li, T.Q.Nguyen and S.Tantaratana, “A simple design method for near perfect reconstruction non-uniform filterbanks”, IEEE Trans. on signal processing, 45(8), Aug. 1997.

[12]Z. Zing and Y. Yun,“A simple design method for nonuniform cosine modulated filterbank”, IEEE Int. Symp. On Microwave, Antenna, Propagation and EMC Tech., (2007), pp.1052-1055,

[13]J. Lee and B.G. Lee, “A design of nonuniform cosine modulated filterbanks”, IEEE Transactions on Circuits and System-II, 42(1), November 1995.

[14]Y.Neuvo, C.Y.Dong and S.K.Mitra,“Interpo-lated Finite Impulse Response Filters”, IEEE Transactions on Acoustic, Speech, Signal Processing, vol.ASSP-32, pp. 563-570, June 1984.

[15]A.Mehrina and J.A.Willson, “On Optimal IFIR Filter Design”, IEEE Proceedings of the 2004 International Symposium on Circuits and System, vol.3,pp. 133-136,May 2004.

[16]A Jain, R Saxena and S.C. Saxena, “An improved and simplified design of cosine modulated pseudo QMF filterbanks”, Digital Signal Processing, vol.16,no.3, pp. 225-232, 2006.

[17]J.D Johnston, “A filter family designed for use in quadrature mirror filterbanks”, Proc. IEEE Int. conf. Acoustics , Speech and Signal Processing, Denver, pp. 291-294,1980.

[18]C.D Cresure, S.K Mitra, “A simple method for designing high-quality prototype filters for M-band pseudo QMF banks”, Trans. on Signal Processing, vol.43, pp. 1005-1007, 1995.

[19]Y.P Lin, P.P Vaidyanathan, “A Kaiser window approach for the design of prototype filters of cosine-modulated filterbanks”, IEEE SignalProcessing Letter, vol.5, no.6, pp. 132-134,1998. [20] R K Soni, A. Jain, “An Optimized Design of Non-uniform filterbank using Blackman window family”, International Journal of Signal and Image Processing, vol.1,no.1, pp. 18-23,2010.

[21]G. Shi, X. Xie, X.Chen and Wei Zhong. , “Recent Advances and New Design Method in Nonuniform Filter Banks”, IEEE Trans. on Signal Processing, (2006), pp. 211-215.