Distributed compressed sensing algorithm for hierarchical WSNs

In the traditional theory of CS, each sensor node in Wireless Sensor Networks (WSNs) sends the information to sink node directly, and only considers the correlation between internal nodes information when recover, this would lead to the loss of the node information and also cause too much energy consumption. In this paper, combined with DEEC protocol, based on Simultaneous orthogonal matching pursuit (SOMP) algorithm, we propose a novel distributed compressed sensing algorithm for Hierarchical Wireless Sensor Networks (DCSH algorithm). This algorithm use the spatial correlation between the nodes and joint sparse model JSM-2, to compress and recover the sensor node information according to SOMP algorithm. Simulation results show that DCSH algorithm can not only obtain accurate reconstruction values of the node information and reduce the energy consumption greatly, but also can prolong the network lifetime.