Average Bit Error Probability of Receive-Spatial Modulation using zero-forcing precoding

In this paper, we study the Average Bit Error Probability (ABEP) of Receive-Spatial Modulation (R-SM) in Rayleigh channels. R-SM is a multi-antenna wireless scheme that extends the concept of Spatial Modulation (SM) at the receiver side by using linear precoding. An accurate statistical framework is used for the characterization of the received signal. Using this framework, we provide novel and analytical bounds that characterize the ABEP of R-SM. Monte Carlo simulation results are used for the verification of the derived bounds. We compare R-SM against the corresponding standard Multiple-Input Multiple-Output (MIMO) scheme and show its performance. We conclude that R-SM is able to offer the same or better BER performance as traditional MIMO only when the spectral efficiency is low and the number of transmit and receive antennas is low.