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首页> 外文期刊>IEEE Transactions on Information Theory >Vector Gaussian Multiple Description With Two Levels of Receivers
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Vector Gaussian Multiple Description With Two Levels of Receivers

机译：具有两级接收器的矢量高斯多重描述

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摘要

The problem of $L$ multiple descriptions of a stationary and ergodic Gaussian source with two levels of receivers is investigated. Each of the first-level receivers receive (an arbitrary subset) $k$ of the $L$ descriptions, $(k ≪ L)$. The second-level receiver receives all $L$ descriptions. All the receivers, both at the first level and the second level, reconstruct the source using the subset of descriptions they receive. The corresponding reconstructions are subject to quadratic distortion constraints. Our main result is the derivation of an outer bound on the sum rate of the descriptions so that the distortion constraints are met. We show that an analog–digital separation architecture involving joint Gaussian vector quantizers and a binning scheme meets this outer bound with equality for several scenarios. These scenarios include the case when the distortion constraints are symmetric and the case for general distortion constraints with $k=2$ and $L=3$.
机译：研究了具有两个接收器级别的平稳和遍历高斯源的$ L $多重描述问题。每个第一级接收器都接收（任意子集）$ L $描述中的$ k $，即$（k≪ L）$。第二级接收器接收所有$ L $描述。所有处于第一级和第二级的接收器都使用接收到的描述子集来重构源。相应的重构受到二次失真约束。我们的主要结果是推导描述总和的外边界，从而满足失真约束。我们证明了涉及联合高斯矢量量化器和合并方案的模数分离体系结构在几种情况下均等价地满足了这一外部界限。这些情况包括失真约束是对称的情况和$ k = 2 $和$ L = 3 $的一般失真约束的情况。

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