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Improved Binary DAC Codec with Spectrum for Equiprobable Sources

机译：改进的具有频谱的二进制DAC编解码器，可用于等概率源

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摘要

Slepian-Wolf coding (SWC) can be effectively implemented by distributed arithmetic coding (DAC) codes. A theoretical tool named spectrum has been developed to analyze the complexity of the full-search binary DAC (BDAC) decoder for equiprobable sources. Following this work, this paper aims at improving the coding efficiency of BDAC codes. To achieve this goal, this paper analyzes how BDAC codes partition source space into codebooks and links codebook cardinalities with the initial spectrum. Further, by exploiting the final spectrum, this paper proves that the decoding error probability of BDAC codes will not tend to zero as code length goes to infinity, even at rates greater than the Slepian-Wolf limit. On the basis of theoretical analyses, two techniques are proposed to reduce the decoding error probability of BDAC codes, i.e., the permutation technique, which removes "near" (in the sense of Hamming distance) codewords in each codebook, and the weighted branching technique, which reduces the mis-pruning risk of proper paths during the decoding. The effectiveness of both techniques is well verified by experimental results.
机译：Slepian-Wolf编码（SWC）可以通过分布式算术编码（DAC）码有效地实现。已经开发了一种名为Spectrum的理论工具来分析等价源的全搜索二进制DAC（BDAC）解码器的复杂性。继这项工作之后，本文旨在提高BDAC码的编码效率。为了实现此目标，本文分析了BDAC代码如何将源空间划分为代码簿，以及如何将代码簿基数与初始频谱联系起来。此外，通过利用最终频谱，本文证明了即使代码速率超过Slepian-Wolf极限，随着代码长度达到无穷大，BDAC代码的解码错误概率也不会趋于零。在理论分析的基础上，提出了两种降低BDAC码解码错误概率的技术，即置换技术和加权分支技术，该置换技术去除了每个码本中的“近”（在汉明距离的意义上）码字。 ，可减少解码过程中正确路径的误删风险。实验结果很好地证明了这两种技术的有效性。

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