Networked estimation under contention-based medium access

摘要

This paper studies networked estimation over a communication channel shared by a contention-based medium access protocol.A collection of N identical and physically decoupled scalar systems are sampled without sensor noise and transmitted overa common channel, using a contention-based medium access mechanism. We first carry out a calculation of the averagedistortion in estimation with irregular samples. Given the rate of packet generation at sensors, we characterize the trafficcharacteristics of the some contention-based MAC schemes. This lets us derive the statistics of inter-arrival times which inturn allows us to compute the packet loss rates and also the statistics of delay within a sample period. Using these results,we track the estimation performance as the sample generation rate and the number of contending nodes are varied. Weprovide a heuristic rule-of-thumb for choosing the sampling interval which minimizes the average distortion. By combiningthe network traffic characterization with that of the estimation performance, we show this rule performs pretty well. Carryingalong the same lines, we are able to compute the scaling limits of estimation performance with respect to the number ofcontending nodes.