Approximate ASER analysis of MIMO TAS/MRC networks over Weibull fading channels

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Approximate ASER analysis of MIMO TAS/MRC networks over Weibull fading channels Mehmet Bilim 1 Received: 8 November 2019 / Accepted: 1 September 2020 # Institut Mines-Télécom and Springer Nature Switzerland AG 2020

Abstract In this paper, the average symbol error rate (ASER) evaluation of multiple-input-multiple-output (MIMO) systems with transmit antenna selection (TAS) and maximal ratio combining (MRC) are analysed under Weibull fading conditions. The impact of additive white Gaussian noise (AWGN) and additive white generalized Gaussian noise (AWGGN) on the ASER evaluation of the MIMO TAS/MRC networks are considered. Closed form approximate and asymptotic ASER expressions of the considered network with AWGN for different quadrature amplitude modulation techniques are derived based on the probability density function approach. The closed-form approximate and asymptotic ASER expressions for the AWGGN case are also obtained. In addition, a comprehensive analysis of the ASER performance for the MIMO TAS/MRC networks is demonstrated by varying the fading parameter values, numbers of transmitter-receiver antennas and constellation size. Finally, the obtained theoretical results are confirmed through the exact simulation results. Keywords MIMO transmissions . Additive white generalized Gaussian noise . Average symbol error rate

1 Introduction Multiple-input-multiple-output (MIMO) networks have played a critical role in developing technologies in the fourth-generation (4G) wireless standard and these techniques will also play a major role in meeting 5G and beyond demands [1]. Hence, many researchers have focused on different MIMO techniques for performance improvement [2–17]. The authors in [2] examined and demonstrated the capacity limits of MIMO channels. Likewise, a trade-off between the energy and spectral efficiency of distributed MIMO networks was studied in [3, 4]. The semidefinite relaxations for MIMO transmission with general-order quadrature amplitude modulation (QAM) schemes were studied in [5]. In addition, in [6, 7], the performance of MIMO systems was evaluated for downlink cellular networks and multicell cooperative networks, respectively. Additionally, the work in [7] presented a new approach for the interference problems in MIMO networks. To address the capacity framework, a useful study was provided for MIMO cellular systems with base station cooperation [8]. A comprehensive review of MIMO functionalities and different * Mehmet Bilim [email protected] 1

Department of Electrical & Electronics Engineering, Faculty of Engineering, Nuh Naci Yazgan University, Kayseri, Turkey

MIMO protocols such as multi-user MIMO, cellular MIMO, and massive MIMO were presented in [9]. In [10], the impact of nonlinear amplification on the performance of a MIMO network was examined and the presented analysis was based on relating the distortion to the bit error rate of the system where QAM signals were transmitted over a MIMO Rayleigh fading channel. In [11], the error performance of MIMO systems was investigated by using