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Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques

Vaidyanathan, P. P. (1987) Quadrature mirror filter banks, M-band extensions and perfect-reconstruction techniques. IEEE ASSP Magazine, 4 (3). pp. 4-20. ISSN 0740-7467. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeeasspm87

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Abstract

In this paper, quadrature mirror filters (QMF) are reviewed. After a brief introduction to multirate building blocks, the two-band QMF bank is discussed. Various distortions caused by the structure, and methods to eliminate these distortions are outlined. Perfect-reconstruction structures for the two-band case are reviewed, and the results are extended to the case of arbitrary number of channels. The relation between perfect-reconstruction QMF banks and the concept of losslessness in transfers-matrices is indicated. New lattice structures are presented, which perform the perfect reconstruction, sometimes even under coefficient quantization.


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Additional Information:© Copyright 1987 IEEE. Reprinted with permission. I wish to express my thankfulness to Drs. N. S. Jayant and R. E. Crochiere of the AT&T Bell Laboratories, for encouraging me to write this article. It was Ron Crochiere who triggered the author's interest in multirate DSP three years ago. I take this opportunity to thank Professors Smith and Barnwell of the Georgia Institute of Technology for useful discussions on the QMF problem. Thanks are also due to Dr. Martin Vetterli of the Ecole Polytechnique Federale de Lausanne, and to Prof. T. Ramstad of the Norwegian Institute of Technology, for fruitful comments on the topic of this paper. I also wish to Truong Q. Nguyen, Ms. Zinnue Doganata and Ms. Phuong-Quan Hoang, graduate students at Caltech, for interaction on the one dimensional perfect-reconstruction problem, and for producing impressive design examples. Finally, the enthusiasm and interest shown by Dr. Kumar Swaminathan of the AT&T Bell Labs (former Caltech student) is gratefully acknowledged. This work was supported in part by the National Science Foundation grants ECS 84-04245 and DCI 8552579, and in part by Caltech's Programs in Advanced Technology grant, sponsored by Aerojet General, General Motors, GTE, and TRW.
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Deposited On:18 Oct 2006
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