Generalized Spatial Modulation Over Correlated Fading Channels: Performance Analysis and Optimization

We present a general upper bounding framework for the average bit error probability (ABEP) of generalized spatial modulation (G-SM) over correlated Rayleigh and Rician channels. Our approach is applicable to any multiple-input multiple-output (MIMO) configuration and linear modulation alphabet. The framework also incorporates possibly correlated Gaussian channel estimates. The ABEP with perfect channel state information (CSI) can be derived as a special case. This approach not only provides tight ABEP upper bounds but also serves as a performance optimization tool to choose the best transmit antenna group configuration. All theoretical results are validated by simulation results shown using phase shift keying (PSK) and quadrature amplitude modulation (QAM) constellations.