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Closed-Form BER Analysis for Uplink NOMA With Dynamic SIC Decoding

delete2026-07-27
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PRE
AI
H
Hequn Zhang
Q
Qu Luo
P
Pei Xiao
张月 cover
张月 (Yue Zhang)
H
Huiyu Zhou
DOI:10.1109/tcomm.2026.3716989delete
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Abstract

Abstract

En 中文
This paper, for the first time, presents a closed-form error performance analysis of uplink power-domain non-orthogonal multiple access (PD-NOMA) with dynamic successive interference cancellation (SIC) decoding, where the decoding order is adapted to the instantaneous channel conditions. We first develop an analytical framework that characterizes how dynamic ordering affects error probabilities in uplink PD-NOMA systems. For a two-user system over independent and non-identically distributed Rayleigh fading channels, we derive closed-form probability density functions (PDFs) of ordered channel gains and the corresponding unconditional pairwise error probabilities (PEPs). To address the mathematical complexity of characterizing ordered channel distributions, we employ a Gaussian fitting to approximate truncated distributions while maintaining analytical tractability. Finally, we extend the bit error rate analysis for various <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$M$ </tex-math></inline-formula>-quadrature amplitude modulation schemes (QAM) in both homogeneous and heterogeneous scenarios. Numerical results validate the theoretical analysis and demonstrate that dynamic SIC eliminates the error floor observed with fixed-order SIC, achieving significantly improved performance in high signal-to-noise ratio regions. Our findings also highlight that larger power differences are essential for higher-order modulations, offering concrete guidance for practical uplink PD-NOMA deployment.
Keywords:
Power-domain non-orthogonal multiple access (PD-NOMA)
pairwise error probability
dynamic successive interference cancellation decoding
closed-form bit error rate
order statistics

Journal

IEEE Transactions on Communications cover
IEEE Transactions on Communications
IF:
8.3
Papers:
1.2W
Citations:
3.6W

Organization

V
viavi solutions
Scholars:
5
Papers: 2
Citations: 0
U
university of leicester
Scholars:
1.9W
Papers: 1.7W
Citations: 25
U
University of Surrey
Scholars:
1.2W
Papers: 1.3W
Citations: 22
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