Performance analysis of variant MIMO systems over hoyt fading channel

Novel general performance analysis of various multiple-input multiple-output (MIMO) systems over Hoyt distribution fading channel is presented and discussed in this study. Hoyt distribution, called sometimes Nakagami-q, spans over other distributions ranging from one-sided Gaussian (q=0\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q=0$$\end{document}) to Rayleigh fading (q=1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q=1$$\end{document}). Hoyt channel describes short-term signal variation of certain wireless communications systems, as in satellite links with strong ionospheric scintillation. Average bit error rate analysis of space shift keying (SSK), quadrature spatial modulation (QSM) and spatial multiplexing (SMX) MIMO systems over Hoyt channel is evaluated and studied in this paper. As well, the generation of accurate joint phase and envelope statistics of the MIMO Hoyt channel is conferred and discoursed. It is reported that marginal performance degradation occurs when decreasing the Hoyt q function from 1→0.5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$1\rightarrow 0.5$$\end{document}. Whereas, substantial performance losses are noticed for all considered MIMO systems when q<0.5\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$q<0.5$$\end{document}. Derived analytical and asymptotic results are corroborated with Monte Carlo simulation results, where close match is reported for wide range of system and channel parameters.