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Abstract: We consider the distributed source coding system for $L$ correlated Gaussianobservations $Y i, i=1,2,

., L$. Let $X i,i=1,2,

., L$ be $L$ correlatedGaussian random variables and $N i,$ $i=1,2,

. L$ be independent additiveGaussian noises also independent of $X i, i=1,2,

., L$. We consider the casewhere for each $i=1,2,

., L$, $Y i$ is a noisy observation of $X i$, that is,$Y i=X i+N i$. On this coding system the determination problem of the ratedistortion region remains open. In this paper, we derive explicit outer andinner bounds of the rate distortion region. We further find an explicitsufficient condition for those two to match. We also study the sum rate part ofthe rate distortion region when the correlation has some symmetrical propertyand derive a new lower bound of the sum rate part. We derive a sufficientcondition for this lower bound to be tight. The derived sufficient conditiondepends only on the correlation property of the sources and their observations.



Autor: Yasutada Oohama

Fuente: https://arxiv.org/







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