Error rate analysis of AF-relay wireless networks under different SNR levels

This paper presents a new method for analyzing the Bit Error Rate (BER) performance of two-hop Amplify-and-Forward Multiple Relay (AF-MR) networks. This paper considers, a flat-fading channel and a relay selection scheme to select a relay with the highest Signal-to-Noise Ratio (SNR). The method aims to unify the BER calculation under low, high and optimal SNR levels. Asymptotic BER (ABER) performance at high SNR value is calculated first, and standard expressions for exact BER (EBER) performance at low and optimal SNRs are then derived. The analytic method depends on the conventional BER (CBER) approach of one-hop communication systems. The optimal SNR is obtained by balancing energy efficiency and spectral efficiency. The proposed method is found to be effective for calculating the BER of AF-MR network performance under any SNR conditions. Moreover, it improves the accuracy of ABER performance by reducing disparity computation errors between ABER and EBER performances and this allows the BER of AF-MR networks to be accurately calculated using either ABER or EBER. The outcome expressions for the method are validated by simulation results.

[1]  Hyung Yun Kong,et al.  Multi-relay cooperative diversity protocol with improved spectral efficiency , 2011, Journal of Communications and Networks.

[2]  Georgios B. Giannakis,et al.  A simple and general parameterization quantifying performance in fading channels , 2003, IEEE Trans. Commun..

[3]  Gregory W. Wornell,et al.  Cooperative diversity in wireless networks: Efficient protocols and outage behavior , 2004, IEEE Transactions on Information Theory.

[4]  Mazen O. Hasna,et al.  Harmonic mean and end-to-end performance of transmission systems with relays , 2004, IEEE Transactions on Communications.

[5]  Muhammad Ali Imran,et al.  Energy Consumption Analysis and Optimization of BER-Constrained Amplify-and-Forward Relay Networks , 2014, IEEE Transactions on Vehicular Technology.

[6]  Aria Nosratinia,et al.  Cooperative communication in wireless networks , 2004, IEEE Communications Magazine.

[7]  Norman C. Beaulieu,et al.  On the performance of amplify-and-forward cooperative systems with fixed gain relays , 2008, IEEE Transactions on Wireless Communications.

[8]  John G. Proakis,et al.  Digital Communications , 1983 .

[9]  Alejandro Ribeiro,et al.  Symbol error probabilities for general Cooperative links , 2005, IEEE Trans. Wirel. Commun..

[10]  Ming Xiao,et al.  Performance Analysis of Antenna Selection in Two-Way Relay Networks , 2015, IEEE Transactions on Signal Processing.

[11]  Ha H. Nguyen,et al.  A First Course in Digital Communications: M -ary signaling techniques , 2009 .

[12]  Gregory W. Wornell,et al.  An efficient protocol for realizing cooperative diversity in wireless networks , 2001, Proceedings. 2001 IEEE International Symposium on Information Theory (IEEE Cat. No.01CH37252).

[13]  Peter Grant,et al.  DIGITAL COMMUNICATIONS , 2022 .

[14]  Mostafa Kaveh,et al.  Exact symbol error probability of a Cooperative network in a Rayleigh-fading environment , 2004, IEEE Transactions on Wireless Communications.

[15]  Aydin Behnad,et al.  Accuracy of Harmonic Mean Approximation in Performance Analysis of Multihop Amplify-and-Forward Relaying , 2014, IEEE Wireless Communications Letters.

[16]  Octavia A. Dobre,et al.  Performance Analysis of Multiple-Relay Cooperative Systems With Signal Space Diversity , 2015, IEEE Transactions on Vehicular Technology.

[17]  Ramakrishna Janaswamy.  Spatial Diversity for Wireless Communications , 2001 .

[18]  Jie Zhang,et al.  Realistic Prediction of BER and AMC for Indoor Wireless Transmissions , 2012, IEEE Antennas and Wireless Propagation Letters.

[19]  Yonghui Li,et al.  Transparent Relaying Techniques , 2010 .

[20]  Liuqing Yang,et al.  Relay selection from a battery energy efficiency perspective , 2009, MILCOM 2009 - 2009 IEEE Military Communications Conference.

[21]  Fuqin Xiong.  Digital Modulation Techniques, Second Edition (Artech House Telecommunications Library) , 2006 .

[22]  Lingyang Song,et al.  Performance Analysis of Hybrid Relay Selection in Cooperative Wireless Systems , 2012, IEEE Transactions on Communications.

[23]  Sheldon M. Ross,et al.  Chapter 2 – Elements of Probability , 2013 .

[24]  Mazen O. Hasna,et al.  A performance study of dual-hop transmissions with fixed gain relays , 2004, IEEE Transactions on Wireless Communications.

[25]  Sanjeev R. Kulkarni,et al.  Degraded Gaussian multirelay channel: capacity and optimal power allocation , 2004, IEEE Transactions on Information Theory.

[26]  Mehmet Güngör,et al.  Distributions of Order Statistics , 2009 .

[27]  Wei-Ping Zhu,et al.  Optimal Relay Precoding for Two-Hop AF Transmission and Performance Analysis over Rayleigh-Fading Channels , 2011, IEEE Transactions on Communications.

[28]  Erdoğan S. Şuhubi.  Linear Vector Spaces , 2003 .

[29]  Frank Carden,et al.  Telemetry Systems Engineering , 2002 .

[30]  Lingyang Song,et al.  Selective combining for hybrid cooperative networks , 2014, IET Commun..

[31]  Yong Li,et al.  Energy-efficient power allocation for two-hop relay networks , 2014 .

[32]  Gaston H. Gonnet,et al.  On the LambertW function , 1996, Adv. Comput. Math..

[33]  K. J. Ray Liu,et al.  Cooperative Communications and Networking: Cooperative communications with single relay , 2008 .

[34]  Mohamed-Slim Alouini,et al.  Order Statistics in Wireless Communications: Distributions of order statistics , 2011 .

[35]  Mazen O. Hasna,et al.  End-to-end performance of transmission systems with relays over Rayleigh-fading channels , 2003, IEEE Trans. Wirel. Commun..

[36]  Mohammad Shikh-Bahaei,et al.  Joint Optimization Of “Transmission Rate” and “Outer-Loop SNR Target” Adaptation Over Fading Channels , 2007, IEEE Transactions on Communications.

[37]  Earl McCune.  Practical Digital Wireless Signals: Common issues and signal characterization , 2010 .

[38]  Scott L. Miller,et al.  CHAPTER 6 – Multiple Random Variables , 2012 .

[39]  J. J. Komo.  3 – Functions of Random Variables , 1987 .

[40]  Andrea Goldsmith,et al.  Wireless Communications , 2005, 2021 15th International Conference on Advanced Technologies, Systems and Services in Telecommunications (TELSIKS).

[41]  Mingyue Zhao,et al.  Energy Efficient Design for Two-Way AF Relay Networks , 2014 .

[42]  Anas M. Salhab,et al.  A low-complexity relay selection scheme based on switch-and-examine diversity combining for AF relay systems , 2013, IET Commun..

[43]  E. S. Gopi,et al.  Probability And Random Process , 2007 .

[44]  Lutz Lampe,et al.  Green Radio Communication Networks: Cooperative techniques for energy-efficient wireless communications , 2012 .

[45]  Mohamed-Slim Alouini,et al.  BER and Optimal Power Allocation for Amplify-and-Forward Relaying Using Pilot-Aided Maximum Likelihood Estimation , 2014, IEEE Transactions on Communications.

[46]  Jiannong Cao,et al.  Optimal Resource Allocation for Reliable and Energy Efficient Cooperative Communications , 2013, IEEE Transactions on Wireless Communications.