In many applications, status information of a general spatial process, in contrast to a point information source, is of interest. In this paper, we consider a system where status information is drawn from a random field and transmitted to a fusion center through a wireless multiaccess channel. The optimal density of spatial sampling points to minimize the remote status estimation error is investigated. Assuming a one-dimensional Gauss Markov random field and an exponential correlation function, closed-form expressions of remote estimation error are obtained for First-Come First-Served (FCFS) and Last-Come First-Served (LCFS) service disciplines. The optimal spatial sampling density for the LCFS case is given explicitly. Simulation results are presented which agree with our analysis.
REF models the spatially correlated statuses as a random field.
Status from a Random Field: How Densely Should One Update?
2019 IEEE International Symposium on Information Theory (ISIT)
2019 IEEE International Symposium on Information Theory (ISIT)
Computer Science Mathematics