Results on optimal biorthogonal filter banks

Creators: Vaidyanathan, P. P.; Kirac, Ahmet

Abstract

Optimization of filter banks for specific input statistics has been of interest in the theory and practice of subband coding. For the case of orthonormal filter banks with infinite order and uniform decimation, the problem has been completely solved in recent years. For the case of biorthogonal filter banks, significant progress has been made recently, although a number of issues still remain to be addressed. In this paper we briefly review the orthonormal case, and then present several new results for the biorthogonal case. All discussions pertain to the infinite order (ideal filter) case. The current status of research as well as some of the unsolved problems are described.

Additional Information

© Copyright 1998 IEEE. Reprinted with permission. Manuscript received August 30, 1997; revised November 17, 1997. This work was supported in part by the National Science Foundation under Grant MIP 0703755 and by Tektronix, Inc. The authors are grateful to Prof. T. Chen, Dr. C. Creusere, and Prof. N. Erdol, who read the manuscript very carefully and provided useful comments. The authors would also like to thank Prof. C. T. Mullis and Dr. K. Aas for discussions pertaining to [1]. The authors wish to thank Prof. J. Choma, Jr. for his invitation to write this article. Special Issue On Multirate Systems, Filter Banks, Wavelets, And Applications, IEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processing 45(8), August 1998. http://ieeexplore.ieee.org/xpl/tocresult.jsp?isYear=1998&isnumber=15534

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