An SINR balancing based multiuser relaying scheme

We consider a relay network with multiple users and propose a signal-to-interference and noise-ratio (SINR) balancing based relay signal forwarding scheme. Each relay receives a combined signal from multiple sources and processes it using a complex valued scalar and transmits towards the destinations so that the SINR at the receiver of each user is maximised. We solve this problem using semidefinite and geometric programming along with bisection search methods. The performance of the proposed scheme has been studied in terms of worst case SINR for various numbers of users and relays.