Distributed source coding of correlated Gaussian observations
Distributed source coding of correlated Gaussian observations
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DOI：
10.1109/isita.2008.4895631
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发表时间：
2008-12
期刊：
影响因子：
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通讯作者：
Y. Oohama
中科院分区：
文献类型：
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作者：
Y. Oohama
本文考虑L个相关高斯观测值Yi，i = 1，2，hellip，L的分布式信源编码问题。我们考虑Yi，i = 1，2，hellip，L满足Yi = Xi + Ni，i = 1，2，hellip，L的情形。这里Xi，i = 1，2，hellip，L是L相关的高斯随机变量，Ni，i = 1，2，hellip，L是独立的加性高斯噪声，也与Xi，i = 1，2，hellip，L无关。L个相关源的估计误差由失真协方差矩阵度量。率失真区域定义为一组所有的速率矢量，其估计误差的上界由一个任意规定的协方差矩阵在半正定的意义。在本文中，我们推导出明确的外部和内部边界的率失真区域。我们的结果可以提供一个有用的工具，研究其他两个开放的问题，这种高斯分布信源编码系统。
We consider a distributed source coding problem of L correlated Gaussian observations Yi, i = 1, 2,hellip, L. We consider the case where Yi, i = 1, 2,hellip, L satisfy Yi = Xi + Ni, i = 1, 2,hellip, L. Here Xi, i = 1, 2,hellip, L are L correlated Gaussian random variables and Ni, i = 1, 2,hellip, L are independent additive Gaussian noises also independent of Xi, i = 1, 2,hellip, L. The estimation error on the L correlated sources are measured by the distortion covariance matrix. The rate distortion region is defined by a set of all rate vectors for which the estimation error is upper bounded by an arbitrarily prescribed covariance matrix in the meaning of positive semi definite. In this paper we derive explicit outer and inner bounds of the rate distortion region. Our result may provide a useful tool to study two other open problems on this Gaussian distributed source coding system.