Multiple Access Channel Resolvability Codes From Source Resolvability Codes

Multiple Access Channel Resolvability Codes From Source Resolvability Codes
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DOI:
10.1109/tit.2022.3150754
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发表时间:
2021-03
影响因子:
2.5
通讯作者:
Rumia Sultana;Rémi A. Chou
Rumia Sultana;Rémi A. Chou
中科院分区:
计算机科学2区
文献类型:
--
作者:
Rumia Sultana;Rémi A. Chou

文献摘要

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我们证明了多址接入信道(MAC)可分解性的码构造问题可以归结为信源可分解性的码构造问题。具体地说,我们提出了一种MAC可解析码的构造,它依赖于以黑盒方式使用的多个源可解析码的组合,并利用通过分布式哈希和块马尔可夫编码实现的随机性循环。由于显式信源可解析码是已知的,因此我们的结果还产生了第一个显式编码方案,对于任何具有二进制输入字母表的离散无记忆多址信道,它们都能达到整个MAC可解域。
We show that the problem of code construction for multiple access channel (MAC) resolvability can be reduced to the simpler problem of code construction for source resolvability. Specifically, we propose a MAC resolvability code construction that relies on a combination of multiple source resolvability codes, used in a black-box manner, and leverages randomness recycling implemented via distributed hashing and block-Markov coding. Since explicit source resolvability codes are known, our results also yield the first explicit coding schemes that achieve the entire MAC resolvability region for any discrete memoryless multiple-access channel with binary input alphabets.