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Open AccessArticle

PEP Analysis of AF Relay NOMA Systems Employing Order Statistics of Cascaded Channels

by Suyue Li 1, Anhong Wang 1,* and Jie Liang 2
1
School of Electronics and Information Engineering, Taiyuan University of Science and Technology, Taiyuan 030024, China
2
School of Engineering Science, Simon Fraser University, Burnaby, BC 8888, Canada
*
Author to whom correspondence should be addressed.
Electronics 2019, 8(6), 695; https://doi.org/10.3390/electronics8060695
Received: 7 May 2019 / Revised: 6 June 2019 / Accepted: 17 June 2019 / Published: 20 June 2019
(This article belongs to the Special Issue Cooperative Communications for Future Wireless Systems)
The precise error performance analysis is challenging for non-orthogonal multiple access (NOMA) systems due to nonlinear successive interference cancellation (SIC) processing among NOMA users. In this paper, the pairwise error probability (PEP) performance of different users is investigated for relay NOMA simultaneous wireless information and power transfer (SWIPT) systems. By employing the order statistics theory, we obtain the ordered probability density function of the cascaded channel through Source-to-Relay-to-User links. Then we derive the analytical closed-form PEP expressions for NOMA users. To obtain the approximate closed-form PEP, we explore the finite series representation of the power of the modified Bessel function to replace the integrand terms. Monte Carlo simulation results show that the approximate analytical PEP of each user is basically in agreement with the simulated PEP. Furthermore, on the basis of the closed-form PEP, the influence of relevant system parameters on the error performance is examined via numerical simulations, which manifests that the choice of power allocation coefficients should be balanced between the users’ channel conditions and the demanded quality of service. View Full-Text
Keywords: pairwise error probability (PEP); non-orthogonal multiple access (NOMA); relay communications; order statistics pairwise error probability (PEP); non-orthogonal multiple access (NOMA); relay communications; order statistics
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Li, S.; Wang, A.; Liang, J. PEP Analysis of AF Relay NOMA Systems Employing Order Statistics of Cascaded Channels. Electronics 2019, 8, 695.

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