Gupta, Vijay and Dana, Amir F. and Murray, Richard M. and Hassibi, Babak (2006) On the effect of quantization on performance at high rates. In: American Control Conference (ACC 2006), Minneapolis, MN, 14-16 June 2006. IEEE , Piscataway, NJ, pp. 1364-1369. ISBN 1-4244-0210-7. https://resolver.caltech.edu/CaltechAUTHORS:GUPacc06
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Abstract
We study the effect of quantization on the performance of a scalar dynamical system in the high rate regime. We evaluate the LQ cost for two commonly used quantizers: uniform and logarithmic and provide a lower bound on performance of any centroid-based quantizer based on entropy arguments. We also consider the case when the channel drops data packets stochastically.
| Item Type: | Book Section | ||||||
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| Additional Information: | © Copyright 2006 IEEE. Reprinted with permission. [Posted online: 2006-07-24] Research supported in part by AFOSR grant F49620-01-1-0460 and by NSF grant CCR-0326554 for the first author and in part by the National Science Foundation under grant no. CCR-0133818, by David and Lucille Packard Foundation, and by Caltech’s Lee Center for Advanced Networking for the second author. | ||||||
| Subject Keywords: | entropy, linear quadratic control, linear systems, signal quantization, stability, stochastic processes | ||||||
| DOI: | 10.1109/ACC.2006.1656407 | ||||||
| Record Number: | CaltechAUTHORS:GUPacc06 | ||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:GUPacc06 | ||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 9069 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Archive Administrator | ||||||
| Deposited On: | 25 Oct 2007 | ||||||
| Last Modified: | 08 Nov 2021 20:55 |
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