Multi-source and multi-relay cooperative system based on compressed sensing

In this Letter, the compressed sensing is introduced into multi-source and multi-relay cooperative system. The compressed process is executed by the linear combination in the air of the transmitted signal. The cooperative compressed sensing and amplify-and-forward (CCS-AF) scheme is investigated. It is firstly proved that CCS-AF transmission matrix can be regarded as the measurement matrix. The channel capacity is improved greatly by cooperative compression. The numerical results validate the effectiveness of the model and the scheme.