Multilevel diversity coding was recently introduced by Roche(1992) and Yeung (1995). In a multilevel diversity coding system, thedecoders are partitioned into multiple levels. The reconstructions ofthe source by decoders within the same level are identical and aresubject to the same distortion criterion. Previously, a class ofproblems in multilevel diversity coding was suggested. In this paper weconsider one such problem with symmetrical connectivity between theencoders and decoders. In this problem, there are three encoders andseven decoders. The source {Xk} is an independent andidentically distributed (i.i.d.) process. The seven decoders belong tothree levels: decoders 1, 2, and 3 belong to level 1; decoders 4, 5, and6 belong to level 2; and decoder 7 belongs to level 3. Note that eachlevel i decoder has access to i encoders, and{(X¯i)k} is the reproduction of{Xk} by a level i decoder. We are interested in finding thetrade-off between the rates of the encoders and the distortions of thereconstructions of the source by the decoders
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机译:罗氏(Roche)最近引入了多级分集编码
(1992)和杨(1995)。在多级分集编码系统中,
解码器分为多个级别。的重建
同一级别内的解码器的源是相同的,并且
遵循相同的失真标准。以前,
提出了多级分集编码中的问题。在本文中,我们
考虑一个这样的问题,它们之间的对称连接
编码器和解码器。在此问题中,有三个编码器和
七个解码器。源{X k sub>}是独立的,
完全相同的分布式(i.d.)流程。七个解码器属于
三个级别:解码器1、2和3属于级别1;解码器4、5和
6个属于第2级;解码器7属于级别3。请注意,每个
级别i解码器可以访问i编码器,并且
{(X¯ i sub>) k sub>}是
{X k sub>}由第i级解码器提供。我们有兴趣找到
编码器的速率与失真之间的权衡
解码器对源的重建
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