Multilevel diversity coding was recently introduced by Roche (1992) and Yeung (1995). In a multilevel diversity coding system, the decoders are partitioned into multiple levels. The reconstructions of the source by decoders within the same level are identical and are subject to the same distortion criterion. Previously, a class of problems in multilevel diversity coding was suggested. In this paper we consider one such problem with symmetrical connectivity between the encoders and decoders. In this problem, there are three encoders and seven decoders. The source {X/sub k/} is an independent and identically distributed (i.i.d.) process. The seven decoders belong to three levels: decoders 1, 2, and 3 belong to level 1; decoders 4, 5, and 6 belong to level 2; and decoder 7 belongs to level 3. Note that each level i decoder has access to i encoders, and {(X~/sub i/)/sub k/} is the reproduction of {X/sub k/} by a level i decoder. We are interested in finding the trade-off between the rates of the encoders and the distortions of the reconstructions of the source by the decoders.
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机译：罗氏（1992）和杨（1995）最近引入了多级分集编码。在多级分集编码系统中，解码器被划分为多个级别。在相同级别内的解码器对源的重建是相同的，并且要遵循相同的失真标准。以前，提出了多级分集编码中的一类问题。在本文中，我们考虑编码器和解码器之间对称连接的此类问题。在此问题中，存在三个编码器和七个解码器。源{X / sub k /}是一个独立且分布均匀的（i.i.d.）过程。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1、2和3属于级别1。解码器4、5和6属于级别2;解码器7属于级别3。注意，每个级别i解码器都可以访问i个编码器，并且{（X〜/ sub i /）/ sub k /}是级别i对{X / sub k /}的再现。解码器。我们感兴趣的是找到编码器的速率与解码器对源的重构的失真之间的折衷。
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