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首页> 外文期刊>IEEE Transactions on Information Theory >The Dispersion of Mismatched Joint Source-Channel Coding for Arbitrary Sources and Additive Channels
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The Dispersion of Mismatched Joint Source-Channel Coding for Arbitrary Sources and Additive Channels

机译：任意信源和加法信道的不匹配联合信源信道编码的色散

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摘要

We consider a joint source channel coding (JSCC) problem in which we desire to transmit an arbitrary memory-less source over an arbitrary additive channel. We propose a mismatched coding architecture that consists of Gaussian code-books for both the source reproduction sequences and channel codewords. The natural nearest neighbor encoder and decoder, however, need to be judiciously modified to obtain the highest communication rates at finite blocklength. In particular, we consider an unequal error protection scheme in which all sources are partitioned into disjoint power-type classes. We also regularize the nearest neighbor decoder so that an appropriate measure of the size of each power type class is taken into account in the decoding strategy. For such an architecture, we derive ensemble-tight second-order and moderate deviations results. Our first-order (optimal bandwidth expansion ratio) result generalizes the seminal results by Lapidoth (1996 and 1997). The dispersion of our JSCC scheme is a linear combination of the mismatched dispersions for the channel coding saddle-point problem by Scarlett, Tan, and Durisi (2017) and the rate-distortion saddle-point problem by the present authors, thus also generalizing these results.
机译：我们考虑一个联合源通道编码（JSCC）问题，我们希望在任意附加通道上传输任意无内存的源。我们提出了一种不匹配的编码体系结构，该体系结构由针对源再现序列和通道码字的高斯编码本组成。然而，需要明智地修改自然最近邻编码器和解码器，以在有限的块长上获得最高的通信速率。特别是，我们考虑了一种不平等的错误保护方案，其中所有源均划分为不相交的幂类型类。我们还对最近的邻居解码器进行了规范化，以便在解码策略中考虑每个功率类型类别的大小的适当度量。对于这样的体系结构，我们得出整体紧密的二阶和中等偏差结果。我们的一阶（最佳带宽扩展率）结果概括了Lapidoth（1996和1997）的开创性结果。我们的JSCC方案的色散是Scarlett，Tan和Durisi（2017）的信道编码鞍点问题与速率失真鞍点问题的不匹配色散的线性组合，因此也将其概括化结果。

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