Aiming at characteristics of energy limitation and unreliable communication link of wireless sensor networks（ WSNs）

a sparse block diagonal matrices clustering（ SBDMC） routing data gathering algorithm for compressive sensing is presented. Sparse block diagonal matrix is used as measurement matrix to reduce number of gathering participated nodes; data is collected distributively by distributive cluster routing; and the optimal number of cluster head is obtained by analyzing energy consumption model. On the basis of the above research

an efficient clustering routing data gathering algorithm is proposed. The simulation results show that compared with the existing algorithms

the proposed algorithm can effectively reduce the energy consumption

prolong network lifetime and balance the energy consumption load.