Analysis of the Matched Filter Detector of the Antenna Index in the Spatial Modulation Systems

We analyze a low-complexity matched-filter (MF) based approach for detecting the transmit antenna index in the spatial modulation (SM) or space shift keying (SSK) schemes. The detection metric of the scheme resembles the metric calculated by the Single Input Multiple Output (SIMO) Matched Filter (MF) detector. In the uncorrelated Rayleigh fading MIMO (Multiple Input Multiple Output) channels, this metric is the ratio of the squared magnitudes of the sum of the products of complex normal variates, and the numerator and the denominator of the ratio are correlated. The contribution of this paper is to analyze this detection metric. We validate our analysis by simulation, and provide insights on the performance of the SM MF detection.