Transmission of partitioning information over non-adaptive multi-access Boolean channel

Shuhang Wu, Shuangqing Wei, Yue Wang, R. Vaidyanathan, Jian Yuan
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引用次数: 3

Abstract

In this paper, we propose a novel framework to study the transmission of partitioning information over a Boolean multi-access channel. The objective of transmission is not for message restoration purpose, but rather to make active users partitioned into distinct groups so that they can transmit their messages without collision subsequently. Random coding and MAP decoding are employed for achievability proof under a novel framework for strong coloring of a resulting hypergraph, which is created by a sequence of channel operations and interactions between active users. An extended Fibonacci structure is found for a simple but non-trivial case with K = 2 active users. The derived achievable bound is shown better than the converse bound of group testing, which is intended for identification of all active users, rather than the partition we are seeking, thereby further demonstrating the uniqueness of our problems.
在非自适应多访问布尔信道上传输分区信息
在本文中,我们提出了一个新的框架来研究在布尔多址信道上分区信息的传输。传输的目的不是为了恢复消息,而是为了将活动用户划分为不同的组,使其在传输消息时不会发生冲突。采用随机编码和MAP解码的方法,在一种新的框架下对由一系列通道操作和活跃用户之间的交互产生的结果超图的强着色进行可实现性证明。对于K = 2个活跃用户的简单但不平凡的情况,找到了扩展的斐波那契结构。推导出的可达界优于群测试的逆界,后者旨在识别所有活跃用户,而不是我们所寻求的分区,从而进一步证明了问题的唯一性。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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