2013 Information Theory and Applications Workshop (ITA) 2013
DOI: 10.1109/ita.2013.6502964
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Rate-distortion in closed-loop LTI systems

Abstract: Abstract-We consider a networked LTI system subject to an average data-rate constraint in the feedback path. We provide upper bounds to the minimal source coding rate required to achieve mean square stability and a desired level of performance. In the quadratic Gaussian case, an almost complete rate-distortion characterization is presented.

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Cited by 2 publications
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“…However, the proper evaluation of such R-D theory obviously depends heavily on the channel model, whereas all existing channel models are too approximate to allow a solid high SNR DoF analysis. Some related work appears in [25] where no causality is imposed and where the analysis filter f is not optimized (fixed), and in [26] and references therein, where causal (but not predictive) R-D is developed for the application of FB in control systems.…”
Section: Beyond Froi: Predictive Rate Distortionmentioning
confidence: 99%
“…However, the proper evaluation of such R-D theory obviously depends heavily on the channel model, whereas all existing channel models are too approximate to allow a solid high SNR DoF analysis. Some related work appears in [25] where no causality is imposed and where the analysis filter f is not optimized (fixed), and in [26] and references therein, where causal (but not predictive) R-D is developed for the application of FB in control systems.…”
Section: Beyond Froi: Predictive Rate Distortionmentioning
confidence: 99%