Performance Analysis of Multistream Receive Spatial Modulation in the MIMO Broadcast Channel

In this paper, Multi-Stream Receive-Spatial Modulation (MSR-SM) for application to the Multiple-Input Multiple-Output (MIMO) broadcast channel is introduced and studied. MSR-SM is a closed-loop transmission scheme, which applies the concept of multistream space modulation at the receiver side. An accurate mathematical framework for the evaluation of the Bit Error Rate (BER) is proposed. In addition, the diversity order and coding gain of the new architecture are derived. Note that the proposed analytical framework takes into account both the small-scale fading and the system topology, and is directly applicable to the conventional MIMO broadcast channel. Compared with the state-of-the-art MIMO transmission in the broadcast channel, it is mathematically shown that MSR-SM achieves the same diversity order and a better coding gain, in the high Signal-to-Noise Ratio (SNR) regime. Finally, the proposed mathematical framework and the new findings are validated via Monte Carlo simulation results.

I. Introduction

Multi-antenna communication has been considered as a promising technique for achieving high data rates without requiring additional radio resources [1], [2]. However, due to the deployment of multiple antennas, the complexity of the transceiver could become prohibitively high. A Multiple-Input Multiple-Output (MIMO) scheme which promotes a low complexity implementation is Spatial Modulation (SM) [3]–[8]. Due to its operating mechanism, SM requires a single Radio Frequency (RF) front-end at the transmitter [3]. This is shown to offer significant energy gains compared with conventional MIMO techniques [9], [10]. In addition, at the receiver side, a low complexity (single stream) Maximum Likelihood (ML) detector is deployed [8]. Despite the adoption of a single stream detector, SM is able to obtain a multiplexing gain.