YU Xiangbin, PAN Qing, WANG Cheng. Performance of Cooperative Spatial Modulation with AF Protocol in Wireless Relay Network[J]. Chinese Journal of Electronics, 2019, 28(1): 143-151. doi: 10.1049/cje.2018.11.007
 Citation: YU Xiangbin, PAN Qing, WANG Cheng. Performance of Cooperative Spatial Modulation with AF Protocol in Wireless Relay Network[J]. Chinese Journal of Electronics, 2019, 28(1): 143-151.

Performance of Cooperative Spatial Modulation with AF Protocol in Wireless Relay Network

doi: 10.1049/cje.2018.11.007
Funds:  This work is supported by the National Natural Science Foundation of China (No.61571225), Natural Science Foundation of Jiangsu Province (No.BK20181289), Open Research Fund of National Mobile Communications Research Laboratory (No.2017D03), Six Talent Peaks Project of Jiangsu (No.DZXX-007), and the Fundamental Research Funds for the Central Universities (No.NS2014038).
• Rev Recd Date: 2017-06-05
• Publish Date: 2019-01-10
• By combing Spatial modulation (SM) with the Amplify-and-forward (AF) cooperative communication, a cooperative SM scheme with AF (AF-SM) protocol is presented, and the corresponding Bit error rate (BER) performance is investigated. Based on the performance analysis, the error probability of antenna index estimation (Pa) and the error probability of symbol estimation (Pd), which constitutes the overall average BER, are derived, respectively. As a result, tightly approximate closedform expressions of Pa and Pd are attained, respectively. Using these expressions, the closed-form overall average BER is achieved. During the analysis, the computational complexity of AF-SM detector is also provided in terms of the complex addition and multiplication numbers. Besides, the asymptotic BER at high SNR and the corresponding diversity gain are further derived, and the resultant diversity gain of Nr + 1 is obtained for the system with Nr receive antennas. Simulation results show that our theoretical analysis is valid, and provides good performance evaluation method for cooperative SM system. Moreover, the BER performance can be effectively improved as Nr increases due to higher diversity gain.
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