Spectral-Domain Spreading via Hadamard Transform for Robust Downlink Non-Orthogonal Multiple Access

๐Ÿ“… 2026-03-08
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๐Ÿค– AI Summary
This work addresses the high bit error rate (BER) and poor user fairness in conventional non-orthogonal multiple access (NOMA) systems, which are highly sensitive to power allocation, channel fading, and imperfect channel state information (CSI). To mitigate these issues, the paper proposes, for the first time, applying a Hadamard transform (HT) prior to NOMA modulation at the transmitter to perform spectrum-domain spreading, thereby enhancing signal robustness against CSI estimation errors and multipath fading. Theoretical analysis and Monte Carlo simulations demonstrate that, at a BER of 10โปยฒ, the near user achieves a 15 dB gain, while the far user obtains 10 dB and 15 dB improvements over T-NOMA and Usman-NOMA, respectively, at a BER of 10โปยน. Notably, even under imperfect successive interference cancellation, user 1 requires only 14 dB less power than user 2 to reach a BER of 10โปยณ, significantly improving system reliability and fairness.

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Search and Optimization: Non-convex OptimizationPlanning, Routing, and Scheduling: Optimization of Spatio-temporal SystemsMachine Learning: Hardware-aware ML

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User Modeling, Personalization and Recommendation: User privacy protection in personalized systemsEconomics, Online Markets and Human Computation: Economics and fairness of platforms and recommendation systemsSecurity and Privacy: Data transparency and provenance
๐Ÿ“ Abstract
Non-orthogonal multiple access (NOMA) systems allowing multiple users sharing the same resource block offer significant gains in spectral efficiency which can enable the required massive access in future wireless systems. However, they face several challenges due to their sensitivity to power allocation coefficients, fading effects, and imperfect channel state information (CSI). To address these limitations, this paper proposes Hadamard-NOMA, an approach leveraging the Hadamard Transform (HT) at the source level prior to modulation. By introducing HT, the system mitigates the adverse impact of fading and CSI imperfections, reducing bit error rates (BER) and enhancing overall system reliability. Theoretical analysis and Monte Carlo simulations validate the effectiveness of this technique, demonstrating robust NOMA transmission in dynamic wireless environments. The proposed method offers a promising solution for next-generation wireless networks, ensuring more reliable performance under diverse transmission conditions. Simulation results confirm analytical predictions, demonstrating significant performance improvements over state-of-the-art T-NOMA and Usman-NOMA schemes. Specifically, for the Near user, a gain of 15 dB is achieved at a Bit Error Rate (BER) of $10^{-2}$, while the Far user benefits from a 10 dB gain at a BER of $10^{-1}$. Compared to Usman-NOMA, the proposed method provides an improvement of 15 dB for the Far user at BER $10^{-1}$. Additionally, in a two-user scenario with imperfect Successive Interference Cancelation (SIC), user 1 requires an SNR at least 14 dB lower than user 2 to achieve a BER of $10^{-3}$. These findings highlight the effectiveness of applying HT at the source stage, significantly mitigating CSI errors and making NOMA more resilient for next-generation wireless networks.
Problem

Research questions and friction points this paper is trying to address.

Non-orthogonal multiple access
Channel state information
Fading
Power allocation
Bit error rate
Innovation

Methods, ideas, or system contributions that make the work stand out.

Hadamard Transform
Non-Orthogonal Multiple Access
Robust Transmission
Imperfect CSI
Spectral Efficiency
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Yaakoub Berrouche
Department of Electronics, Ferhat Abbas University of Setif 1, Setif, Algeria
M
Michel Kulhandjian
School of Electrical Engineering and Computer Science, University of Ottawa, Ottawa, ON, Canada
Hovannes Kulhandjian
Hovannes Kulhandjian
Professor, California State University, Fresno
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