Compress sensing for wireless sensor networks using gossip pairwise algorithm and optimization algorithms

For retrieving information in a wireless sensor network (WSN) from any node, each node must know the status of the entire network, leading to a high cost of energy in communication and information storage. In this paper, we evaluated a recovery method to request information from any node of a WSN with the use of compress sensing to compact the data to be stored and transmitted, and the use of a gossip pairwise algorithm to determine the network status. To recover the compressed information, two optimization algorithms are proposed and tested for convergence errors.