多终端通信系统中实时的形编译码器结构的研究
On the Structure of Real-Time Encoders and Decoders in a Multi-Terminal Communication System
摘要：
考虑了一个实时的【形】通信系统，其中两个编码器通过单独的噪声信道与单个接收器通信。这两个编码器对马尔可夫源进行不同的部分观测。每个编码器必须将其观测值编码为离散符号序列。符号通过噪声信道传输到有限存储器接收器，该接收器试图重建马尔可夫源的状态的某些函数。编码和解码必须是实时的【形】，也就是说，失真度量不能容忍延迟。在编码器的观测是条件独立的马尔可夫链的假设下，给出了一个不可观测的时不变随机变量，最优实时的【形】编码器和接收机的结构的结果。结果表明，存在有限维的充分统计的编码器。然后考虑接收器处的无噪声信道和完美记忆的问题。一种新的方法来找到最佳实时的【形】编码器的结构。一个充分的统计量与时不变的域中找到这个问题。当通信通过无噪声信道时，这种方法利用了编码器和接收器之间存在的公共信息。
英文摘要：
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 encoders and the receiver 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.
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