Performance Analysis of MR-NOMA with Arbitrary Number of Users and Symbol Rates
Abstract
This paper analytically investigates the bit error rate (BER) performance of downlink multi-rate (MR)-non-orthogonal multiple access (NOMA) over Nakagami-m fading channels for an arbitrary number of users and symbol rates. The analysis is first developed for a three-user case, then generalized to systems with more than three users, yielding an exact BER expression for the first detected user and an accurate closed-form approximations for the remaining users under the perfect-successive interference cancellation (SIC) assumption. These results are further unified into a general average-BER expression over Nakagami-m fading for arbitrary user numbers and symbol-rate configurations. A symbol-pattern-dependent signal-to-interference plus noise ratio (SINR) analysis further shows how the symbol-duration diversity enables inherent interference cancellation, explaining the BER advantage of MR-NOMA over conventional single-symbol rate (SR)-NOMA. An average BER minimization problem is also formulated and numerically solved to optimize the users' power allocation, with simulation results corroborating the analytical findings. Overall, MR-NOMA is shown to offer greater flexibility in user pairing while maintaining reliable BER performance and accommodating diverse quality-of-service (QoS) requirements.
Related
- Turán number of three disjoint cliques of arbitrary sizes
- A generalization of Gordon's Theorem to arbitrary winding number
- Non-axisymmetric MHD equilibria with an arbitrary number of field periods
- Gradient descent reaches arbitrary accuracy in a fixed number of large steps on multiclass logistic regression
- Performance Evaluation of an Adaptive Quadrature and a Double Exponential Formula Using Arbitrary-Precision Floating-Point Arithmetic
BibTeX
@misc{khader2026performance,
title = {{Performance Analysis of MR-NOMA with Arbitrary Number of Users and Symbol Rates}},
author = {Zainab Khader and Arafat Al-Dweik and Emad Alsusa},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.03266},
eprint = {2610.03266},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.03266},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Performance Analysis of MR-NOMA with Arbitrary Number of Users and Symbol Rates
AU - Zainab Khader
AU - Arafat Al-Dweik
AU - Emad Alsusa
PY - 2026
DA - 2026/10/02
PB - arXiv
DO - 10.48550/arxiv.2610.03266
UR - https://arxiv.org/abs/2610.03266
AB - This paper analytically investigates the bit error rate (BER) performance of downlink multi-rate (MR)-non-orthogonal multiple access (NOMA) over Nakagami-m fading channels for an arbitrary number of users and symbol rates. The analysis is first developed for a three-user case, then generalized to systems with more than three users, yielding an exact BER expression for the first detected user and an accurate closed-form approximations for the remaining users under the perfect-successive interference cancellation (SIC) assumption. These results are further unified into a general average-BER expression over Nakagami-m fading for arbitrary user numbers and symbol-rate configurations. A symbol-pattern-dependent signal-to-interference plus noise ratio (SINR) analysis further shows how the symbol-duration diversity enables inherent interference cancellation, explaining the BER advantage of MR-NOMA over conventional single-symbol rate (SR)-NOMA. An average BER minimization problem is also formulated and numerically solved to optimize the users' power allocation, with simulation results corroborating the analytical findings. Overall, MR-NOMA is shown to offer greater flexibility in user pairing while maintaining reliable BER performance and accommodating diverse quality-of-service (QoS) requirements.
ER -