Improved Upper Bounds to the Causal Quadratic Rate-Distortion Function for Gaussian Stationary Sources
Improved Upper Bounds to the Causal Quadratic Rate-Distortion Function for Gaussian Stationary Sources
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DOI：
10.1109/tit.2012.2184669
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发表时间：
2012-05-01
影响因子：
2.5
通讯作者：
Ostergaard, Jan
中科院分区：
文献类型：
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作者：
Derpich, Milan S.;Ostergaard, Jan
在平均均方误差失真度量下，我们改进了平稳高斯信源的因果信源编码和零时延信源编码的现有可达速率区域。首先，我们找到了一阶高斯-马尔可夫过程在这样的偏差度量下的信息论因果率失真函数(RDF)的闭式表达式，记为R-c(It)(D)。R-c(It)(D)是任意因果源代码理论上可达到的最优性能(Opta)的下界，即R-c(It)(D)。我们证明，对于高斯源，后者也可以是R-c(OP)(D)的上界。
We improve the existing achievable rate regions for causal and for zero-delay source coding of stationary Gaussian sources under an average mean squared error distortion measure. To begin with, we find a closed-form expression for the information-theoretic causal rate-distortion function (RDF) under such distortion measure, denoted by R-c(it)(D), for first-order Gauss-Markov processes. R-c(it)(D) is a lower bound to the optimal performance theoretically attainable (OPTA) by any causal source code, namely R-c(it)(D). We show that, for Gaussian sources, the latter can also be upper bounded as R-c(op)(D)