%0 Journal Article %A CHEN Dong-xiao %A JIN Ning %A JIN Xiao-ping %A SONG Wei-jing %A XU Ling-jing %T A Low-Complexity Detection Algorithm Based on Relaxation Iteration Method for GSM-MBM Systems %D 2019 %R 10.13190/j.jbupt.2018-302 %J Journal of Beijing University of Posts and Telecommunications %P 133-138 %V 42 %N 5 %X The complexity of the maximum likelihood (ML) detector of the generalized spatial modulation-media based modulation system is very high and exponentially grows with the number of active antennas. A low-complexity detection algorithm termed energy ordered-relaxation iteration method (EO-RIM) is proposed. First, the possible active transmit antenna combinations and corresponding mirror activation pattern combinations are sorted according to their signal energy, then a relaxation iterative method is performed to obtain corresponding modulated signals. According to a predefined threshold, the algorithm strikes a trade-off between complexity and performance. Simulations show that the bit error ratio performance of EO-RIM algorithm approaches that of ML detection algorithm and is comparable to that of the ordered block minimum mean squared error detection algorithm. The computational complexity of EO-RIM grows with the square of the number of active antennas, while ML detector has exponential complexity. %U https://journal.bupt.edu.cn/EN/10.13190/j.jbupt.2018-302