An information theoretic view of stochastic resonance

被引:2
|
作者
Anantharam, Venkat [1 ]
Borkar, Vivek S. [2 ]
机构
[1] Univ Calif Berkeley, Dept EECS, Berkeley, CA 94720 USA
[2] Tata Inst Fundamental Res, Sch Informat & Comp Sci, Bombay 400005, Maharashtra, India
来源
2007 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY PROCEEDINGS, VOLS 1-7 | 2007年
关键词
D O I
10.1109/ISIT.2007.4557349
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
We are motivated by the widely studied phenomenon called stochastic resonance, namely that in several sensing systems, both natural and engineered, the introduction of noise can enhance the ability of the system to perceive signals in the environment. We adopt an information theoretic viewpoint, evaluating the quality of sensing via the mutual information rate between the environmental signal and the observations. Viewing what would be considered noise in stochastic resonance as an open loop control and using Markov decision theory techniques, we discuss the problem of optimal choice of this control in order to maximize this mutual information rate. We determine the corresponding dynamic programming recursion: it involves the conditional law of certain conditional laws associated to the dynamics. We prove that the optimal control may be chosen as a deterministic function of this law of laws.
引用
收藏
页码:966 / +
页数:2
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