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arXiv 2401.12499cs.ITeess.SPmath.IT
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状态无关数据信道下联合通信与最快变化检测的基本权衡研究

On the Fundamental Tradeoff of Joint Communication and Quickest Change Detection with State-Independent Data Channels

Daewon Seo, Sung Hoon Lim

AI总结:

该研究率先探究集成感知通信场景下通信与最快变化检测的信息论权衡,构建对应问题模型,提出基于恒定子块组成码和SCS检测规则的内界及匹配的部分逆定理,验证其渐近最优性并给出多类信道的权衡示例。

摘要:

本研究率先在集成感知与通信场景下,探究通信与最快变化检测(QCD)之间的信息论权衡关系。我们正式构建了面向最快变化检测的联合通信与感知问题,假设系统为包含一个发射机、一个通信接收机和一个QCD检测器的广播信道,且仅检测信道具有状态依赖性。针对该问题设置,我们利用恒定子块组成码和一种经改进的CuSum检测规则(我们称之为子块CuSum,简称SCS),在虚警率趋于零的渐近情形下,给出了通信速率与变化点检测延迟之间信息论权衡的内界。我们进一步提出了一个部分逆定理,该逆定理与我们针对某一类编码得到的内界相匹配,这意味着当虚警率约束趋于零时,SCS检测策略对于我们的编码而言是渐近最优的。此外,我们还给出了二进制信道、标量高斯信道和MIMO高斯信道下权衡区域的若干典型示例。

英文摘要:

In this work, we take the initiative in studying the information-theoretic tradeoff between communication and quickest change detection (QCD) under an integrated sensing and communication setting. We formally establish a joint communication and sensing problem for the quickest change detection. We assume a broadcast channel with a transmitter, a communication receiver, and a QCD detector in which only the detection channel is state dependent. For the problem setting, by utilizing constant subblock-composition codes and a modified CuSum detection rule, which we call subblock CuSum (SCS), we provide an inner bound on the information-theoretic tradeoff between communication rate and change point detection delay in the asymptotic regime of vanishing false alarm rate. We further provide a partial converse that matches our inner bound for a certain class of codes. This implies that the SCS detection strategy is asymptotically optimal for our codes as the false alarm rate constraint vanishes. We also present some canonical examples of the tradeoff region for a binary channel, a scalar Gaussian channel, and a MIMO Gaussian channel.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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