Impact of nonzero boresight and jitter pointing errors on the performance of M-ary ASK/FSO system over Málaga M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\mathcal{M}} \right)$$\end{document} atmospheric turbulence

In free-space optical (FSO) communication, Distribution models such as lognormal, gamma-gamma, and k-distribution describe weak, moderate, and strong turbulence, respectively. Whereas Málaga M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\mathcal{M}} \right)$$\end{document} distribution is a powerful statistical model repeatedly mentioned in the literature due to its generality, Málaga M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\mathcal{M}} \right)$$\end{document} describes the three turbulence conditions while considering the pointing errors, represented by the jitter boresight displacement, of the communication beam. Exact and closed-form expressions for symbol error rate and outage probability are presented in this paper—furthermore, cases from these expressions are presented for various turbulence conditions. The proposed expressions describe the symbol error rate and outage probability performance of the FSO communication system with M-ary amplitude shift keying modulation over Málaga M\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\left( {\mathcal{M}} \right)$$\end{document} atmospheric turbulence environments.