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Memoryless Multiple Access Channel With Asymmetric Noisy State Information at the Encoders

机译:编码器上具有不对称噪声状态信息的无内存多路访问通道

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摘要

The problem of reliable communication over the memoryless state-dependent multiple-access channel (MAC) is considered, where the encoders and the decoder are provided with various degrees of asymmetric noisy channel state information (CSI). For the case where the encoders observe causal, asymmetric noisy CSI and the decoder observes complete CSI, inner and outer bounds to the capacity region, which are tight for the sum-rate capacity, are provided. Next, single-letter characterizations for the channel capacity regions under each of the following system settings are established: 1) the CSI at the encoders are asymmetric deterministic functions of the CSI at the decoder and the encoders have noncausal noisy CSI; 2) the encoders observe asymmetric noisy CSI with asymmetric delays and the decoder observes complete CSI; 3) a degraded message set scenario with asymmetric noisy CSI at the encoders and complete and/or noisy CSI at the decoder. The main component in these results is a generalization of a recently introduced converse coding approach for the MAC with asymmetric quantized CSI at the encoders and herein considerably extended and adapted for the noisy CSI setup.
机译:考虑了通过无记忆状态相关多路访问信道(MAC)进行可靠通信的问题,其中编码器和解码器具有各种程度的非对称噪声信道状态信息(CSI)。对于编码器观察到因果,非对称噪声CSI且解码器观察到完整CSI的情况,提供了容量区域的内边界和外边界,这些边界对于求和速率容量是严格的。接下来,建立以下每个系统设置下信道容量区域的单字母特征:1)编码器上的CSI是解码器上CSI的非对称确定性函数,并且编码器具有非因果噪声CSI; 2)编码器观测到具有非对称延迟的非对称噪声CSI,而解码器观测到完整的CSI; 3)降级的消息集场景,在编码器处具有不对称的噪声CSI,在解码器处具有完整和/或噪声的CSI。这些结果的主要组成部分是对在编码器处具有不对称量化CSI的MAC最近引入的逆编码方法的概括,并且在本文中已大大扩展并适用于嘈杂的CSI设置。

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