Abstract | ||
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Sequential rate-distortion (SRD) theory provides a framework for studying the fundamental trade-off between data-rate and data-quality in real-time communication systems. In this paper, we consider the SRD problem for multi-dimensional time-varying Gauss-Markov processes under mean-square distortion criteria. We first revisit the sensor-estimator separation principle, which asserts that considered SRD problem is equivalent to a joint sensor and estimator design problem in which data-rate of the sensor output is minimized while the estimator's performance satisfies the distortion criteria. We then show that the optimal joint design can be performed by semidefinite programming. A semidefinite representation of the corresponding SRD function is obtained. Implications of the obtained result in the context of zero-delay source coding theory and applications to networked control theory are also discussed. |
Year | DOI | Venue |
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2014 | 10.1109/TAC.2016.2601148 | IEEE Trans. Automat. Contr. |
Keywords | Field | DocType |
Rate-distortion,Distortion,Communication systems,Random variables,Standards,Optimization,Signal to noise ratio | Mathematical optimization,Random variable,Separation principle,Source code,Control theory,Communications system,Gaussian,Distortion,Mathematics,Semidefinite programming,Estimator | Journal |
Volume | Issue | ISSN |
abs/1411.7632 | 4 | 0018-9286 |
Citations | PageRank | References |
4 | 0.46 | 8 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
Takashi Tanaka | 1 | 34 | 12.22 |
Kwang Ki Kevin Kim | 2 | 13 | 3.70 |
Pablo A. Parrilo | 3 | 3455 | 229.27 |
Sanjoy K. Mitter | 4 | 1226 | 156.06 |