Youla Coding and Computation of Gaussian Feedback Capacity
Youla Coding and Computation of Gaussian Feedback Capacity
复制标题
高斯反馈能力的Youla编码与计算
DOI：
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发表时间：
2018
影响因子：
2.5
通讯作者：
N. Elia
中科院分区：
文献类型：
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作者：
Chong Li;N. Elia
在本文中，我们提出了一种方法来数值计算的反馈容量的固定有限维（FD）高斯信道和构造（任意接近）实现容量的反馈码。特别是，我们首先扩展的解释反馈通信平稳FD高斯信道反馈控制系统。我们发现，找到稳定的反馈控制器的最大可靠的传输速率在Youla参数的问题，找到严格的因果过滤器，以实现反馈能力的问题相吻合。这种扩展的解释提供了一种方法来构造确定性反馈编码方案的双指数衰减的错误概率。接下来，我们提出了渐近容量实现上界，这可以通过求解FD凸优化进行数值计算。从达到上界的过滤器，我们应用基于Youla的解释来构造可行的过滤器，即，反馈码，导致一系列的下限。我们证明了序列的下界是渐近容量实现的。
In this paper, we propose an approach to numerically compute the feedback capacity of stationary finite-dimensional (FD) Gaussian channels and construct (arbitrarily close to) capacity-achieving feedback codes. In particular, we first extend the interpretation of feedback communication over stationary FD Gaussian channels as feedback control systems. We show that the problem of finding stabilizing feedback controllers with maximal reliable transmission rate over Youla parameters coincides with the problem of finding strictly causal filters to achieve feedback capacity. This extended interpretation provides an approach to construct deterministic feedback coding schemes with double exponential decaying error probability. We next propose asymptotic capacity-achieving upper bounds, which can be numerically evaluated by solving FD convex optimizations. From the filters that achieve the upper bounds, we apply the Youla-based interpretation to construct feasible filters, i.e., feedback codes, leading to a sequence of lower bounds. We prove that the sequence of lower bounds is asymptotically capacity achieving.