Full-duplex spatial modulation systems under imperfect channel state information

Abstract

In this paper, we investigate the performance of bi-directional full-duplex (FD) systems using spatial modulation (SM) technique, called as FD-SM systems, over Rayleigh fading channels in the presence of imperfect channel state information (I-CSI). The effect of residual loop-interference (LI) due to the FD transmission is also taken into consideration. The upper bounds for bit error rate (BER) expressions of FD-SM systems are derived for both PSK and QAM constellations by pairwise error probability (PEP) calculations. The analytical results are verified by Monte Carlo simulation results and shown to become very tight when signal-to-noise ratio (SNR) increases. Additionally, we observe that FD-SM system outperforms the conventional bi-directional half-duplex (HD) systems as long as either the spectral efficiency increases or the LI cancellation improves.