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Discrete version of Richard's theorem and applications to cascaded lattice realization of digital filter transfer matrices and functions

Vaidyanathan, P. P. and Mitra, Sanjit K. (1986) Discrete version of Richard's theorem and applications to cascaded lattice realization of digital filter transfer matrices and functions. IEEE Transactions on Circuits and Systems, 33 (1). pp. 26-34. ISSN 0098-4094. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs86a

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Abstract

The well-known Richards' Theorem of the continuous-time filter theory is reformulated in the digital domain in a convenient manner, leading to a simple derivation of cascaded lattice digital filter structures, realizing lossless bounded transfer functions. The theorem is also extended to the matrix case, leading to a derivation ofm-inputp-output cascaded lattice filter structures with lossless building blocks, that realize an arbitraryp times mdigital Lossless Bounded Real (LBR) transfer matrix. Extensions to the synthesis of arbitrary, stablep times mtransfer matrices in the form of such cascaded lattices is also outlined. The derivation also places in evidence a means of testing the stability of an arbitraryp times mtransfer matrix of a discrete-time linear system.


Item Type:Article
Additional Information:© Copyright 1986 IEEE. Reprinted with permission. Manuscript received October 15, 1984; revised March 22, 1985. This work was supported in art by the National Science Foundation under Grant ECS 82-18310 and under Grant ECS 84-04245. The authors are thankful to Dr. Y. Neuvo of the Tampere University of Technology, for useful discussions.
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Alternative URL:http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=23573&arnumber=1085825&count=15&index=6
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Deposited On:06 Nov 2006
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