Partial Relay Selection in Energy Harvesting Based NOMA Network with Imperfect CSI

In this paper, we analyse the performance of partial relay selection (PRS) for non orthogonal multiple access (NOMA) dual hop relay assisted network, where a source (S) node transmits two signals to respective two destinations (D1,D2)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$(D_1,D_2)$$\end{document} with help of relays. All the relays are powered by harvested energy from RF signal of source. The performance of network is analysed for both signals S1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_1$$\end{document} and S2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$S_2$$\end{document}. The availability of channel state information (CSI) knowledge effects the outage probabilities of both the symbols. We derive closed form expressions of outage probability for both the symbols. Further, we use monte carlo simulation to evaluate ergodic capacity and throughput. The impact of power allocation between both the signals on outage probability is also depicted and a feasible region of power allocation factor between symbols is obtained where NOMA is fairly working.