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Orthogonal Least Squares Detector for Generalized Spatial Modulation

Generalized spatial modulation (GSM), which is a novel multiple-input multiple-output (MIMO) transmission technique, has attracted massive research attention in recent years. In this paper, we first utilize the orthogonal least squares (OLS) based detector for GSM detection. Then, we develop a sufficient condition of successful detection for the OLS based detector based on the restricted isometry property (RIP) of the channel matrix. Moreover, we prove that our sufficient condition is optimal. Finally, numerical simulations are conducted to illustrate that the proposed OLS based detector has better detection performance than the orthogonal matching pursuit (OMP) based detector with more or less the same time complexity.