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Reliability in Source Coding With Side Information

机译:具有辅助信息的源代码编码的可靠性

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摘要

We study error exponents for source coding with side information. Both achievable exponents and converse bounds are obtained for the following two cases: lossless source coding with coded information and lossy source coding with full side information (Wyner–Ziv). These results recover and extend several existing results on source-coding error exponents and are tight in some circumstances. Our bounds have a natural interpretation as a two-player game between nature and the code designer, with nature seeking to minimize the exponent and the code designer seeking to maximize it. In the Wyner–Ziv problem, our analysis exposes a tension in the choice of test channel with the optimal test channel balancing two competing error events. The Gaussian and binary-erasure cases are examined in detail.
机译:我们研究带有辅助信息的源代码的错误指数。在以下两种情况下均可获得指数和逆界:带编码信息的无损源编码和带全边信息的有损源编码(Wyner-Ziv)。这些结果恢复并扩展了有关源代码错误指数的一些现有结果,并且在某些情况下是严格的。对于自然界和代码设计师之间的两人游戏,我们的界限具有自然的诠释,自然界试图使指数最小化,而代码设计师则试图使指数最大化。在Wyner-Ziv问题中,我们的分析暴露了测试通道选择中的压力,而最优测试通道则平衡了两个相互竞争的错误事件。详细检查了高斯和二进制擦除情况。

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