In this work, we take the initiative in studying the fundamental 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 quickest change detection. Then, by utilizing constant subblock-composition codes and a modified QuSum detection rule, which we call subblock QuSum (SQS), we provide an inner bound on the fundamental 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 SQS 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.

翻译：本文率先研究集成感知与通信场景下通信与快速变化检测之间的基本权衡。我们正式建立了面向快速变化检测的联合通信与感知问题。通过利用恒定子块组合码和改进的QuSum检测规则（称为子块QuSum，SQS），我们在虚警率渐近趋于零的极限下，给出了通信速率与变点检测延迟之间基本权衡的内界。进一步地，我们提供了部分逆结果，该结果在特定编码类中与内界匹配。这表明随着虚警率约束趋近于零，SQS检测策略对本文所考虑的编码具有渐近最优性。我们还给出了二元信道、标量高斯信道及MIMO高斯信道中权衡区域的若干典型示例。