Fully distributed sleeping compressive data gathering in wireless sensor networks

One of the most essential challenges of wireless sensor networks (WSNs) is the limited energy of their nodes. Compressive data gathering (CDG) and sleep scheduling are two practical solutions to extend the lifetime of such networks. However, applying these techniques incorrectly may lead to having significant reconstruction errors. This study proposes a fully distributed method to combine these two techniques in WSNs. An essential condition for CDG is the participation of all nodes in each round. The simulations along with the mathematical proof demonstrate that sleep scheduling can only be used during CDG when this condition holds. The proposed method considers this condition and therefore leads to an acceptable reconstruction error. Moreover, the proposed method is fully distributed in which message passing among the nodes for sleep scheduling is not required. The simulation results show that the proposed method improves the lifetime of the WSNs up to 2.2 times compared to non‐sleeping CDG with an equivalent reconstruction error.