标题： 论多通信信道的远程估计 显示英文标题

标题： On Remote Estimation with Multiple Communication Channels

摘要： 本文考虑了在存在多个通信信道的情况下顺序估计和传感器调度问题。 与涉及一个完美（无噪声）信道和一个极其嘈杂的信道（对应于不传输观测状态）的经典远程估计问题相反，考虑了一个具有固定功率约束的更现实的加性噪声信道以及一个更昂贵的完美信道。 通过一个反例表明，通常认为在经典双信道远程估计问题中对单峰状态密度是最佳的对称阈值策略，在所考虑的设置中可能不是最优的。 接下来，为了使问题变得可行，考虑了一个侧信道，该信道传递底层状态的符号。 在一些技术假设下，显示了阈值内的阈值通信调度对于此设置是最优的。 基于动态规划分析了噪声信道存在的影响。 这种数值分析揭示了一些相当令人惊讶的结果，这些结果继承了噪声和无噪声设置中的已知特性。 显示英文摘要

摘要： This paper considers a sequential estimation and sensor scheduling problem in the presence of multiple communication channels. As opposed to the classical remote estimation problem that involves one perfect (noiseless) channel and one extremely noisy channel (which corresponds to not transmitting the observed state), a more realistic additive noise channel with fixed power constraint along with a more costly perfect channel is considered. It is shown, via a counter-example, that the common folklore of applying symmetric threshold policy, which is well known to be optimal (for unimodal state densities) in the classical two-channel remote estimation problem, can be suboptimal for the setting considered. Next, in order to make the problem tractable, a side channel which signals the sign of the underlying state is considered. It is shown that, under some technical assumptions, threshold-in-threshold communication scheduling is optimal for this setting. The impact of the presence of a noisy channel is analyzed numerically based on dynamic programming. This numerical analysis uncovers some rather surprising results inheriting known properties from the noisy and noiseless settings.