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Passivity properties of low-sensitivity digital filter structures

Vaidyanathan, P. P. and Mitra, Sanjit K. (1985) Passivity properties of low-sensitivity digital filter structures. IEEE Transactions on Circuits and Systems, 32 (3). pp. 217-224. ISSN 0098-4094. http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs85h

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Abstract

A general representation of a class of low passband sensitivity digital filter structures is proposed. The proposed representation for a transfer function of orderNconsists of an(N + 1)-pair memoryless system terminated atN-pairs by delays. The(N + 1)-pair system contains only adders and multipliers, and is described by an orthogonal transfer matrix. The set of terminating delays can be looked upon as anN-pair system with transfer matrixz^{-1}{bf 1}. Certain wave digital filter structures, Gray-Markel lattice structures and the coupled-form biquadratic section belong to the general form advanced here. Several properties satisfied in these special cases are derived in a unified manner using the generalized representation. Also, a quantization scheme that makes the structure free from zero-input limit cycles even under time-varying conditions is advanced, unifying similar such results independently reported for the above well-known structures.


Item Type:Article
Additional Information:© Copyright 1985 IEEE. Reprinted with permission. Manuscript received November 7, 1983; revised June 28, 1984. This work was supported in part by the National Science Foundation under Grant ECS 82-18310, and in part by Grant ECS 84-04245.
Record Number:CaltechAUTHORS:VAIieeetcs85h
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs85h
Alternative URL:http://ieeexplore.ieee.org/xpls/abs_all.jsp?isnumber=23566&arnumber=1085693&count=17&index=8
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ID Code:5867
Collection:CaltechAUTHORS
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Deposited On:06 Nov 2006
Last Modified:26 Dec 2012 09:15

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