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arXiv 1202.4438cs.ITmath.IT
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状态依赖的信道

On Channels with Action-Dependent States

Behzad Ahmadi, Osvaldo Simeone

摘要:

依赖于带宽的信道对传输在两个连续阶段中发生的场景进行建模。在第一阶段,编码器选择一个“动作”序列,其双重目的是将信息传送到接收器,以及以期望的方式影响要在第二阶段中使用的信道的状态。在第二阶段中,通信发生在存在上述动作依赖状态的情况下。在这项工作中,两个扩展的原始动作依赖通道进行了研究。在第一种情况下,解码器不仅对估计消息感兴趣,而且对估计平均每个字母失真内的状态序列感兴趣。在常识的约束下(即,解码器的状态估计必须在编码器处也是可恢复的),并且假设在第二阶段中在编码器处的非因果状态知识,我们获得可实现的速率-失真-成本折衷的单字母表征。在第二个扩展中,我们研究了一个依赖于动作的退化广播信道。在假设编码器在第二阶段因果地知道状态序列的情况下,识别容量成本区域。各种例子,包括高斯信道和一个“探测”编码器的模型,也提供了一个适当的联合设计的两个通信阶段的优势。

英文摘要:

Action-dependent channels model scenarios in which transmission takes place in two successive phases. In the first phase, the encoder selects an "action" sequence, with the twofold aim of conveying information to the receiver and of affecting in a desired way the state of the channel to be used in the second phase. In the second phase, communication takes place in the presence the mentioned action-dependent state. In this work, two extensions of the original action-dependent channel are studied. In the first, the decoder is interested in estimating not only the message, but also the state sequence within an average per-letter distortion. Under the constraint of common knowledge (i.e., the decoder's estimate of the state must be recoverable also at the encoder) and assuming non-causal state knowledge at the encoder in the second phase, we obtain a single-letter characterization of the achievable rate-distortion-cost trade-off. In the second extension, we study an action-dependent degraded broadcast channel. Under the assumption that the encoder knows the state sequence causally in the second phase, the capacity-cost region is identified. Various examples, including Gaussian channels and a model with a "probing" encoder, are also provided to show the advantage of a proper joint design of the two communication phases.

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。

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