受功率限制的衰落信道的均方容量：具有因果编码器和解码器
Mean Square Capacity of Power Constrained Fading Channels with Causal Encoders and Decoders
AI总结：
本文研究了在受功率限制的衰落信道上离散时间线性时不变系统均方稳定化问题，考虑了衰落和加性噪声，允许任意因果编码器/解码器形式，给出了均方稳定化的充分必要条件及容量分析。
摘要：
本文研究了在受功率限制的衰落信道上离散时间线性时不变系统均方稳定化问题。与现有研究不同，本文考虑的信道同时受到衰落和加性噪声的影响。我们允许任何形式的因果信道编码器/解码器，不同于文献中常见的线性编码器/解码器。给出了均方稳定化的充分条件和必要条件，这些条件基于信道参数，如传输功率和衰落及加性噪声统计特性，与开环系统矩阵不稳定特征值相关。给出了在因果编码器/解码器下的功率受限衰落信道的均方容量。证明了该均方容量小于相应的香农信道容量。最后，通过数值示例展示了因果编码器/解码器比现有工作中线性编码器/解码器的稳定化条件更宽松。
英文摘要：
This paper is concerned with the mean square stabilization problem of discrete-time LTI systems over a power constrained fading channel. Different from existing research works, the channel considered in this paper suffers from both fading and additive noises. We allow any form of causal channel encoders/decoders, unlike linear encoders/decoders commonly studied in the literature. Sufficient conditions and necessary conditions for the mean square stabilizability are given in terms of channel parameters such as transmission power and fading and additive noise statistics in relation to the unstable eigenvalues of the open-loop system matrix. The corresponding mean square capacity of the power constrained fading channel under causal encoders/decoders is given. It is proved that this mean square capacity is smaller than the corresponding Shannon channel capacity. In the end, numerical examples are presented, which demonstrate that the causal encoders/decoders render less restrictive stabilizability conditions than those under linear encoders/decoders studied in the existing works.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
