The designed algorithms for wireless sensor networks (WSNs) should not
impose a high computational load on sensor nodes because they are batterypowered
devices. To distribute the computations between sensors, distributed
algorithms are required. On the other hand, since the sensors observe related
phenomena, the acquired signals, besides the intra-signal correlation, also
have some inter-signal correlation. When the designed algorithms are cooperative,
these joint structures are used. In this study, we propose a distributed and
cooperative algorithm based on the focal underdetermined system solver
(FOCUSS) for compressive sensing signal reconstruction in WSNs. Unlike the
other FOCUSS-based sparse recovery algorithms, the proposed algorithm is
quite distributed and implemented by one-hop communication between the
neighboring node without collaborating any fusion center (FC). In the
suggested system model, the reconstructed signals from the underdetermined
systems of equations are different for each sensor node. The obtained results
verified that the proposed approach performs better than the existing works
regarding signal reconstruction and convergence rate.