Mutual Information and Conditional Mean Estimation in Poisson Channels

Abstract--Following the discovery of a fundamental connection between information measures and estimation measures in Gaussian channels, this paper explores the counterpart of those results in Poisson channels. In the continuous-time setting, the received signal is a doubly stochastic Poisson point process whose rate is equal to the input signal plus a dark current. It is found that, regardless of the statistics of the input, the derivative of the input

• Type: Journal
• Year: 2008
• Where: TIT
• Authors: Dongning Guo, Shlomo Shamai, Sergio Verdú
• Keywords: Input, Poisson, Stochastic Poisson Point, TIT 2008