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The discrete-time bounded-real lemma in digital filtering

Vaidyanathan, P. P. (1985) The discrete-time bounded-real lemma in digital filtering. IEEE Transactions on Circuits and Systems, 32 (9). pp. 918-924. ISSN 0098-4094.

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The Lossless Bounded-Real lemma is developed in the discrete-time domain, based only on energy balance arguments. The results are used to prove a discrete-time version of the general Bounded-Real lemma, based on a matrix spectral-factorization result that permits a transfer matrix embedding process. Some applications of the results in digital filter theory are finally outlined.

Item Type:Article
Additional Information:© Copyright 1985 IEEE. Reprinted with permission. Manuscript received October 24, 1984. This work was supported in part by the National Science Foundation under Grant ECS 84-04245. The author wishes to thank Dr. B. D. O. Anderson, of the Australian National University, for helpful discussions.
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Deposited On:06 Nov 2006
Last Modified:26 Dec 2012 09:15

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