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首页> 外文期刊>Information Theory, IEEE Transactions on >On the Structure of Real-Time Encoding and Decoding Functions in a Multiterminal Communication System
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On the Structure of Real-Time Encoding and Decoding Functions in a Multiterminal Communication System

机译：多终端通信系统中实时编码和解码功能的结构

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摘要

A real-time communication system with two encoders communicating with a single receiver over separate noisy channels is considered. The two encoders make distinct partial observations of a Markov source. Each encoder must encode its observations into a sequence of discrete symbols. The symbols are transmitted over noisy channels to a finite memory receiver that attempts to reconstruct some function of the state of the Markov source. Encoding and decoding must be done in real-time, that is, the distortion measure does not tolerate delays. Under the assumption that the encoders' observations are conditionally independent Markov chains given an unobserved time-invariant random variable, results on the structure of optimal real-time encoding and decoding functions are obtained. It is shown that there exist finite-dimensional sufficient statistics for the encoders. The problem with noiseless channels and perfect memory at the receiver is then considered. A new methodology to find the structure of optimal real-time encoders is employed. A sufficient statistic with a time-invariant domain is found for this problem. This methodology exploits the presence of common information between the encoders and the receiver when communication is over noiseless channels.
机译：考虑具有两个编码器的实时通信系统，该两个编码器通过单独的噪声信道与单个接收器通信。两种编码器对Markov源进行了截然不同的局部观测。每个编码器必须将其观测值编码为一系列离散符号。这些符号通过嘈杂的信道传输到有限内存接收器，后者试图重建马尔可夫信号源状态的某些函数。编码和解码必须实时进行，也就是说，失真度量不能容忍延迟。假设编码器的观测是条件独立的马尔可夫链，给出了未观察到的时不变随机变量，则可获得最佳实时编码和解码功能的结构结果。结果表明，编码器存在有限维的足够统计量。然后考虑无噪声通道和接收机处完美存储的问题。采用一种新的方法来找到最佳实时编码器的结构。对于此问题，找到了具有时不变域的足够统计量。当通过无噪声信道进行通信时，该方法利用了编码器和接收器之间公共信息的存在。

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