Optimized Node Selection for Compressive Sleeping Wireless Sensor Networks

In this paper, we propose an active node selection framework for compressive sleeping wireless sensor networks (WSNs) to improve signal acquisition performance, network lifetime, and the use of spectrum resources. While conventional compressive sleeping WSNs only exploit the spatial correlation of sensor nodes, the proposed approach further exploits the temporal correlation by selecting active nodes using the support of the data reconstructed in the previous time instant. The node selection problem is framed as the design of a specialized sensing matrix, where the sensing matrix consists of selected rows of an identity matrix. By capitalizing on a genie-aided reconstruction procedure, we formulate the active node selection problem into an optimization problem, which is then approximated by a constrained convex relaxation plus a rounding scheme. Simulation results show that our proposed active node selection approach leads to an improved reconstruction performance, network lifetime, and spectrum usage, in comparison to various node selection schemes for compressive sleeping WSNs.