Abstract

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.

Highlights

  • Compared to the current fourth generation (4G) wireless networks, the fifth generation (5G)networks are expected to support massive connectivity of devices so as to satisfy the growth of internet of things

  • An approximate closed-form pairwise error probability (PEP) analysis is derived for cooperative non-orthogonal multiple access (NOMA) simultaneous wireless information and power transfer (SWIPT) systems over Rayleigh fading channels

  • Based on the ordered statistics of the composite channel across the k | are related to the modified Bessel functions of the Source-Relay-User link, the probability density function (PDF) and cumulative distribution function (CDF) of |hkR hU

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Summary

Introduction

Compared to the current fourth generation (4G) wireless networks, the fifth generation (5G). Nakagami-m fading and derived the closed-form expressions of the outage probability, with imperfect channel state information taken into account. In [13], a two-stage relay selection scheme was proposed and a closed-form expression of the outage probability was derived. To the best of our knowledge, there is no closed-form solution for the pairwise error probability (PEP) expressions of NOMA users based on order statistics of the cascaded channel for relay NOMA communication systems in the literature. We derive the approximate closed-form PEP expressions of the first and the kth users over. The impacts of some related parameters, such as power allocation coefficients of NOMA users and power splitting factor related to energy harvesting, can be evaluated through the simulations by using the approximate closed-form PEP expressions.

System Model
PEP Derivation of the First User
PEP Derivation of the kth SIC User
Simulation Results
Conclusions

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