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. https://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 | ||||||
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| 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. | ||||||
| Issue or Number: | 3 | ||||||
| Record Number: | CaltechAUTHORS:VAIieeetcs85h | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:VAIieeetcs85h | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 5867 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 06 Nov 2006 | ||||||
| Last Modified: | 09 Mar 2020 13:19 |
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