Pairwise Error Probability Performance of SM-MIMO and Spatially Modulated Cooperative Communication Employing SDF Protocol

Abstract

 Abstract: In this paper, we analyze the performance of spatially modulated (SM) multiple input multiple output (MIMO) system and spatially modulated MIMO cooperative system with multiple relays employing selective decode and forward (SDF) protocol. Here the analysis is done for pre-determined orthogonal channel for SM MIMO and SM MIMO cooperative system using M-PSK modulation and ML detection. Firstly Pairwise error probability (PEP) expression is derived and optimal, sub-optimal detection is done in a spatially modulated MIMO system. Further, the analysis of SDF spatially modulated MIMO cooperative system is extended to single relay and multiple relay configurations. PEP expression is also derived for SDF spatially modulated MIMO cooperative system. Simulation results for the SM MIMO system show optimal detection performs better than suboptimal detection and system performance improves as the number of antenna increases. The simulation results of PEP analysis in the SM MIMO cooperative system include the theoretical PEP, exact PEP and asymptotic PEP and Optimal power allocation (OPA) is also derived for the same. Optimal power allocation for theoretical PEP, exact PEP and asymptotic PEP outperforms the same at equal power allocation.Multi-Output (MIMO) technology is proposed by Spatial Modulation (SM), where spatial resources are exploited in different ways from primary MIMO techniques [4] - [7]. The transmitted SM information bits are divided into two streams: one stream is used to activate single or multiple antenna ( S M ), which is to transmit symbols mapped to another stream [8] - [13]. Spatial multiplexing gain and spatial diversity gain with low complexity consumption are offered by this technique, because at the transmitter a single or several radio frequency chains are needed [14], [15]. Throughout this paper, performance of cooperative MIMO space-time block coded (STBC) communication network with Single and various relays based on a selective decode-and-forward (DF) based technique is analyzed. We derived the closed form expression at the destination node of code block detection for the end to end PEP, while beginning with single relay based MIMO STBC system. The system with order of full diversity can be attained by cooperative MIMO (multi-input multi-output) STBC network [16], [17]. To reduce the unfavorable consequences of channel fading, power allocation (PA) techniques are proficient and BER is decreased and data rate is improved by this technique. In fact, in terms of spatial multiplexing systems PA has been widely studied [18], [19].In order to assist time-varying channels, it is more profitable for modifying the parameters of transmission, using SM with PA is a new MIMO technique. However, in SM-based schemes, only one transmitting antenna (TA) is active in each time slot, the PA approach may not be suitable for the SM system directly for spatial multiplexing based MIMO system. Following are the contributions of this paper: PEP analysis based on a spatially modulated MIMO system using ML det...