A connection between good rate-distortion codes and backward DMCs
A connection between good rate-distortion codes and backward DMCs
复制标题
良好率失真码与后向 DMC 之间的联系
DOI：
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发表时间：
2013
期刊：
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通讯作者：
P. Cuff
中科院分区：
文献类型：
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作者：
C. Schieler;P. Cuff
令x <sup> n </sup> ϵ x <sup> n </sup>是从离散的无内存源绘制的序列，让y <sup> n </sup> ϵ y y <sup> n </sup> n </sup> n </sup >是通过良好的速率限制代码输出的相应重建序列显示为d> 0，r（d）成分率限制代码转换的输入输出统计信息（在归一化的相对熵中）到离散内存通道的输出输入统计（DMC）。 <sup> n </sup>。
Let X<sup>n</sup> ϵ X<sup>n</sup> be a sequence drawn from a discrete memoryless source, and let Y<sup>n</sup> ϵ y<sup>n</sup> be the corresponding reconstruction sequence that is output by a good rate-distortion code. This paper establishes a property of the joint distribution of (X<sup>n</sup>, Y<sup>n</sup>). It is shown that for D > 0, the input-output statistics of a R(D)-achieving rate-distortion code converge (in normalized relative entropy) to the output-input statistics of a discrete memoryless channel (dmc). The dmc is “backward” in that it is a channel from the reconstruction space y<sup>n</sup> to source space X<sup>n</sup>. It is also shown that the property does not necessarily hold when normalized relative entropy is replaced by variational distance.