An Optimal Symmetric Threshold Strategy for Remote Estimation Over The Collision Channel
An Optimal Symmetric Threshold Strategy for Remote Estimation Over The Collision Channel
复制标题
碰撞通道远程估计的最优对称阈值策略
DOI：
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发表时间：
2020
期刊：
影响因子：
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通讯作者：
U. Mitra
中科院分区：
文献类型：
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作者：
Xu Zhang;M. Vasconcelos;Wei Cui;U. Mitra
考虑了一个具有n个传感器的无线传感系统，观测具有对称概率密度函数的独立同分布连续随机变量，一个非同位估计器作为融合中心.传感器通过由碰撞信道建模的有限容量通信介质向融合中心发送信息。假设在传输之前传感器之间没有通信，并且冲突信道允许至多k < n个同时传输。假设每个传感器使用一个对称的阈值通信策略，设计一个阈值，最小化均方误差标准的问题被认为是。理论分析证明了该优化问题最优阈值的存在唯一性。
A wireless sensing system with n sensors, observing independent and identically distributed continuous random variables with a symmetric probability density function, and one non-collocated estimator acting as a fusion center is considered. The sensors transmit information to the fusion center via a limited capacity communication medium modeled by a collision channel. It is assumed that there is no communication among the sensors prior to transmission, and the collision channel allows at most k < n simultaneous transmissions. Assuming that each sensor uses a symmetric threshold communication strategy, the problem of designing a threshold that minimizes a mean-squared error criterion is considered. Theoretical analysis shows the existence and uniqueness of the optimal threshold for this optimization problem.