We extend the recent analysis of the rate-reliability tradeoff in deterministic identification (DI) to general linear Gaussian channels, marking the first such analysis for channels with continuous output. Because DI provides a framework that can substantially enhance communication efficiency, and since the linear Gaussian model underlies a broad range of physical communication systems, our results offer both theoretical insights and practical relevance for the performance evaluation of DI in future networks. Moreover, the structural parallels observed between the Gaussian and discrete-output cases suggest that similar rate-reliability behaviour may extend to wider classes of continuous channels.

翻译：本文将近期确定性识别中速率-可靠性权衡的分析推广至一般线性高斯信道，标志着首次针对连续输出信道完成此类分析。由于确定性识别提供了可显著提升通信效率的框架，且线性高斯模型构成了众多物理通信系统的基础，我们的研究结果对未来网络中确定性识别的性能评估兼具理论价值与实践意义。此外，高斯信道与离散输出情形在结构上的相似性表明，类似的速率-可靠性特性可能适用于更广泛的连续信道类别。