A single-shot approach to lossy source coding under logarithmic loss
A single-shot approach to lossy source coding under logarithmic loss
复制标题
对数损失下有损源编码的单次方法
DOI：
--
复制
发表时间：
2016
期刊：
影响因子：
--
通讯作者：
S. Verdú
中科院分区：
文献类型：
--
作者：
Yanina Y. Shkel;S. Verdú
本文研究了具有特定失真度量的有损信源编码问题：对数损失。本文的重点是在单次拍摄的方法，暴露与对数损失和无损信源编码的有损信源编码之间的联系。点到点的界限，包括单次拍摄的基本限制的平均以及过度失真，提出。两个多终端问题的解决：边信息编码（Wyner-Ziv），和多描述编码。在这两种情况下，Shannon-McMillan定理的应用程序的单炮界立即产生率失真函数和率失真区域的平稳和遍历源。
This paper studies the problem of lossy source coding with a specific distortion measure: logarithmic loss. The focus of this paper is on the single-shot approach which exposes the connection between lossy source coding with log-loss and lossless source coding. Point-to-point bounds, including the single-shot fundamental limit for average as well as excess distortion, are presented. Two multi-terminal problems are addressed: coding with side information (Wyner-Ziv), and multiple descriptions coding. In both cases, the application of the Shannon-McMillan Theorem to the single-shot bounds immediately yields the rate-distortion function and the rate distortion-region for stationary and ergodic sources.