GEN03-1: Feedback Capacity of Stationary Sources over Gaussian Intersymbol Interference Channels
GEN03-1: Feedback Capacity of Stationary Sources over Gaussian Intersymbol Interference Channels
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GEN03-1：高斯码间干扰信道上固定源的反馈能力
DOI：
10.1109/glocom.2006.155
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
S. Tatikonda
中科院分区：
文献类型：
--
作者：
Shaohua Yang;A. Kavcic;S. Tatikonda
考虑具有有限长码间干扰和加性高斯噪声的离散时间信道。信道噪声被认为是一个平稳的ARMA（自回归和/或移动平均）高斯过程。我们假设信道与反馈一起使用，并计算固定功率约束源所能达到的最大反馈信息率。我们证明了反馈相关的高斯-马尔可夫源达到了反馈能力，卡尔曼-布西滤波器是处理反馈的最佳方法。然后，我们将容量计算公式化为一个方程组，其解给出了稳态源的最优信号和反馈容量。一般来说，方程是数值解，但对于一阶通道，问题的解是封闭的。
We consider discrete-time channels with finite-length 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.