High-Resolution Source Coding for Non-Difference Distortion Measures: The Rate-Distortion Function
High-Resolution Source Coding for Non-Difference Distortion Measures: The Rate-Distortion Function
复制标题
用于无差失真测量的高分辨率源编码：率失真函数
DOI：
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发表时间：
1997
影响因子：
2.5
通讯作者：
R. Zamir
中科院分区：
文献类型：
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作者：
T. Linder;R. Zamir
渐近问题（即，低失真）的行为的随机向量的率失真函数的一类非差失真措施进行了研究。主要结果是一个渐近紧的表达，平行的香农下界的差异失真措施。例如，对于输入加权平方误差失真度量d（x，y）=/spl par//W（x）（y-x）/spl par//sup 2/，y，x/spl isin/R/sup n/，失真水平D处的速率失真函数X/spl isin/R/sup n/的渐近表达式等于h（X）-/sub 2/sup n/log（2/spl pi/艾德/n）+Elog| detW（X）|其中h（X）是X的微分熵。扩展到固定源和高分辨率远程（“嘈杂”）源编码也给出了。
The problem of asymptotic (i,e., low-distortion) behavior of the rate-distortion function of a random vector is investigated for a class of non-difference distortion measures. The main result is an asymptotically tight expression which parallels the Shannon lower bound for difference distortion measures. For example, for an input-weighted squared error distortion measure d(x,y)=/spl par/W(x)(y-x)/spl par//sup 2/,y,x/spl isin/R/sup n/, the asymptotic expression for the rate-distortion function of X/spl isin/R/sup n/ at distortion level D equals h(X)-/sub 2///sup n/log(2/spl pi/eD/n)+Elog|detW(X)| where h(X) is the differential entropy of X. Extensions to stationary sources and to high-resolution remote ("noisy") source coding are also given.