Feedback Capacity of Stationary Sources over Gaussian Intersymbol Interference Channels

Abstract— We consider discrete-time channels with finitelength intersymbol interference and additive Gaussian noise. The channel noise is considered to be a stationary ARMA (autoregressive and/or moving average) Gaussian process. We assume that the channel is used with feedback and compute the maximal feedback information rate achievable by stationary power-constrained sources. We show that feedback-dependent Gauss-Markov sources achieve the feedback capacity, and a Kalman-Bucy filter is optimal for processing the feedback. We then formulate the capacity computation into a system of equations whose solution gives the optimal signaling and the feedback capacity for stationary sources. In general, the equations are solved numerically, but for first-order channels, the problem admits a closed form solution.

• Type: Conference
• Year: 2006
• Where: GLOBECOM
• Authors: Shaohua Yang, Aleksandar Kavcic, Sekhar Tatikonda
• Keywords: Additive Gaussian Noise, Feedback Capacity, GLOBECOM 2006, Maximal Feedback Information, Telecommunications