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A unified approach to orthogonal digital filters and wave digital filters, based on LBR two-pair extraction

Vaidyanathan, P. P. (1985) A unified approach to orthogonal digital filters and wave digital filters, based on LBR two-pair extraction. IEEE Transactions on Circuits and Systems, 32 (7). pp. 673-686. ISSN 0098-4094. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs85j

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Abstract

The LBR-extraction approach is extended in order to derive wave digital filters and several orthogonal digital filters in a unified manner. The derivation clearly places in evidence the underlying orthogonality property of all these structures, which can therefore be implemented based on a simple building block, namely, the "planar rotation" operator. The derivation directly emphasizes the concept of "structural boundedness" as a requirement for low sensitivity. In addition to wave and orthogonal filters, a number of other methods for forcing structural boundedness are indicated.


Item Type:Article
Additional Information:© Copyright 1985 IEEE. Reprinted with permission. Manuscript received September 4, 1984; revised November 22, 1984. This work was supported in part by the National Science Foundation under Grant ECS 84-04245. The author wishes to acknowledge the pioneering contributions of Profs. A. Fettweis and P. Dewilde over the years, which motivated him towards the writing of this paper. Recent contributions by Henrot and Mullis [7] and by Rao and Kailath [8] were also similar motivations. The author also wishes to thank Prof. S. K. Mitra of the University of California, Santa Barbara, for constant encouragement. Finally, the stimulating comments by the reviewers are gratefully acknowledged.
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Deposited On:06 Nov 2006
Last Modified:26 Dec 2012 09:15

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