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Coding and Common Reconstruction

机译：编码和通用重建

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摘要

This work studies problems of source and joint source–channel coding under the requirement that the encoder can produce an exact copy of the compressed source constructed by the decoder. This requirement, termed here as the common reconstruction constraint (CR), is satisfied automatically in rate–distortion theory for single sources. However, in the common formulation of problems of lossy source coding with side information at the decoder (the Wyner–Ziv problem), distributed source coding, and joint source–channel coding for networks, the destination can exploit the information it receives in a manner that cannot be exactly reproduced at the sender side. Some applications, like the transmission of sensitive medical information, may require that both sides—the sender and the receiver—will share a common version of the compressed data, for the purpose of future discussions or consulting. The purpose of this work is to study the implications of CR constraints on the achievable rates in scenarios of lossy source coding and lossy transmission of sources. Three problems are examined: source coding with side information at the decoder, simultaneous transmission of data and state over state-dependent channels, and joint source–channel coding for the degraded broadcast channel. Single-letter characterizations of the optimal performance are developed for these problems, under corresponding CR constraints. Implications of this constraint on problems of joint source–channel coding in networks are discussed.
机译：在编码器可以产生由解码器构造的压缩源的精确副本的要求下，这项工作研究了源和联合源-信道编码的问题。在单个数据源的速率失真理论中，自动满足了此要求（在此称为通用重建约束（CR））。但是，在常见的关于在解码器处附带信息的有损源编码问题（Wyner-Ziv问题），分布式源编码以及网络的联合源信道编码的问题中，目标可以以某种方式利用接收到的信息无法在发送方正确复制的内容。某些应用程序，例如敏感医学信息的传输，可能要求双方（发送方和接收方）共享压缩数据的通用版本，以便将来进行讨论或咨询。这项工作的目的是研究在有损源编码和有损源传输情况下，CR约束对可达到速率的影响。研究了三个问题：在解码器上带有辅助信息的源编码，在依赖状态的信道上同时传输数据和状态以及对降级的广播信道进行联合源-信道编码。在相应的CR约束下，针对这些问题开发了最佳性能的单字母表征。讨论了这种约束对网络中源-信道联合编码问题的影响。

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