Mutual Information and Error Probability Analysis on Generalized Spatial Modulation System
Abstract: Generalized spatial modulation (GSM) is an extended architecture to the spatial modulation multiple antenna system. The GSM system uses multiple activated transmit antennas to further exploit the system transmission capacity. In this paper, we consider the GSM systems with channel diagonalization (CD-) (CD transmitter pre-coder coder (TPC), channel inversion TPC, and without TPC. For each TPC scheme, the pairwise activated antenna detection discriminant and closedclosed form antenna detection pairwise error probability (PE (PEP) P) of the GSM system are derived. We use the antenna detection PEP to calculate the analytical antenna detection symbol error rate union bound and the mutual information lower bound. We use asymptotic methods to analyze antenna detection diversity and coding ng gains of GSM system with or without TPC when the signal signal-to to-noise ratio is high. Together with complexity analysis on the pre pre-coders coders and antenna detectors, we discover the CD-TPC TPC trades the antenna detection performance for complexity reduction, while thee CD CD-TPC TPC scheme achieves a balance between the performance and complexity. This paper introduces methods to the performance evaluation of the GSM system, and provides a guideline for the GSM system design such as antenna configuration and TPC schemes selec selection.