Signal detection with parallel orthogonal matching pursuit in multi-user spatial modulation systems

In this paper, we propose a novel signal detection technique with parallel orthogonal matching pursuit (POMP) for a multi-user spatial modulation (SM) uplink network which consists of a single base station (BS) with N r antennas and K users with N t antennas. Each user utilizes the SM, and thus it sends a modulated symbol via a single antenna among N t antennas. The BS tries to estimate the symbols simultaneously received from K users. In the proposed signal detection technique, the BS modifies the conventional OMP algorithm, known as one of the most promising detection techniques in sparse signal processing field, by selecting multiple candidates M at the first iteration of the OMP algorithm. Simulation results show that the proposed technique significantly outperforms the OMP algorithm in terms of symbol-error rate. It is worth noting that the proposed technique requires M-times more complexity than the OMP-based technique, but it has still much lower complexity than the maximum likelihood detector.