Illustration of the duality between channel coding and rate distortion with side information

J. Su, J. Eggers, B. Girod
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引用次数: 24

Abstract

Digital watermarking can be viewed as channel coding with side information at the encoder (CC-SI); the original data to be watermarked is known to the encoder but not the decoder. Likewise, distributed source coding is rate distortion with side information at the decoder (RD-SI); a noisy observation of the source data to be compressed is available to the decoder but not the encoder. For a Gaussian channel or source, CC-SI and RD-SI are shown to be information-theoretic duals. Ideal coding schemes are presented, and the schemes are interpreted geometrically to highlight dual elements and quantities.
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信道编码和带边信息的速率失真之间的对偶性的说明
数字水印可以看作是在编码器(CC-SI)处带有侧信息的信道编码;要加水印的原始数据为编码器所知,而解码器却不知道。同样,分布式源编码是在解码器(RD-SI)处具有侧信息的速率失真;要压缩的源数据的噪声观测对解码器可用,但对编码器不可用。对于高斯信道或源,CC-SI和RD-SI显示为信息理论对偶。提出了理想的编码方案,并用几何方法解释了这些方案,以突出对偶元素和数量。
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