Transmit Antenna Selection for Full-Duplex Spatial Modulation Multiple-Input Multiple-Output System

Transmit antenna selection (TAS) is an effective solution to enhance the performance of a multiple-input multiple-output (MIMO) system, especially when combined with spatial modulation (SM), and full duplex (FD) technique. However, there still lacks a comprehensive understanding on the system behavior of such a system. In this article, we consider a point-to-point bidirectional FD-SM-MIMO system using channel gain based TAS under the impact of imperfect successive interference cancellation and develop an analytical solution for analyzing its performance. In particular, we derive the exact closed-form expressions of the outage probability (OP) and the symbol error probability (SEP) for the FD-SM-MIMO system with TAS. The analytical solution can also be used for evaluating the performance of the half-duplex SM-MIMO (HD-SM-MIMO) systems with and without TAS. The OP, SEP, and system throughput of the FD-SM-MIMO system with TAS are evaluated against the case without using TAS and the HD-SM-MIMO system to demonstrate the benefits of using TAS and impact of the residual self-interference. All analysis results are validated by the Monte Carlo simulation ones to confirm the correctness of the derived mathematical expressions.