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Joint Transmission and State Estimation: A Constrained Channel Coding Approach

机译：联合传输和状态估计：一种受约束的信道编码方法

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摘要

A scenario involving a source, a channel, and a destination, where the destination is interested in both reliably reconstructing the message transmitted by the source and estimating with a fidelity criterion the state of the channel, is considered. The source knows the channel statistics but is oblivious to the actual channel state realization. Herein, it is established that a distortion constraint for channel state estimation can be reduced to an additional cost constraint on the source input distribution, in the limit of large coding block length. A newly defined capacity-distortion function thus characterizes the fundamental tradeoff between transmission rate and state estimation distortion. It is also shown that noncoherent communication coupled with channel state estimation conditioned on treating the decoded message as training symbols achieves the capacity-distortion function. Among the various examples considered, the capacity-distortion function for a memoryless Rayleigh fading channel is characterized to within 1.443 bits at high signal-to-noise ratio. The constrained channel coding approach is also extended to multiple access channels, leading to a coupled cost constraint on the input distributions for the transmitting sources.
机译：考虑一种涉及源，信道和目的地的场景，其中目的地既对可靠地重构由源发送的消息感兴趣，又对用保真度标准估计信道的状态感兴趣。源知道信道统计信息，但忽略了实际的信道状态实现。在此，可以确定，在大的编码块长度的限制下，可以将用于信道状态估计的失真约束减小为对源输入分布的附加成本约束。因此，新定义的容量失真函数表征了传输速率和状态估计失真之间的基本权衡。还显示出，非相干通信与信道状态估计相结合，其条件是将解码后的消息视为训练符号，从而实现了容量失真功能。在所考虑的各种示例中，无记忆瑞利衰落信道的容量失真函数在高信噪比下的特征是在1.443位以内。约束信道编码方法还扩展到多个访问信道，从而导致对发送源的输入分布的耦合成本约束。

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