Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

Advertisement

Scientific Reports
  • View all journals
  • Search
  • My Account Login
  • Content Explore content
  • About the journal
  • Publish with us
  • Sign up for alerts
  • RSS feed
  1. nature
  2. scientific reports
  3. articles
  4. article
Fair and scalable energy-efficient rate splitting multiple access in cognitive high altitude platform networks
Download PDF
Download PDF
  • Article
  • Open access
  • Published: 02 May 2026

Fair and scalable energy-efficient rate splitting multiple access in cognitive high altitude platform networks

  • Asma A. Alhashmi1,
  • Ahmed Badi Alshammari2,
  • Monir Abdullah3,
  • Abed Saif Ahmed Alghawli4,
  • Tareq M. Alkhaldi5,
  • Shouki A. Ebad6,
  • Khalid N. R. Alharbi1 &
  • …
  • Abdulbasit A. Darem1,6 

Scientific Reports (2026) Cite this article

  • 563 Accesses

  • Metrics details

We are providing an unedited version of this manuscript to give early access to its findings. Before final publication, the manuscript will undergo further editing. Please note there may be errors present which affect the content, and all legal disclaimers apply.

Subjects

  • Engineering
  • Mathematics and computing

Abstract

The evolution toward the industry 5.0, with the applications such as the digital twins and the collaborative robotics, demands the wireless networks that jointly guarantee the ultra reliable connectivity, the fairness aware service, and the energy sustainability. The cognitive radio (CR) enabled high altitude platforms (HAPs) offer the wide area coverage and the flexible spectrum access; and their deployment is constrained by the stringent interference limits toward the terrestrial primary users (PUs), the limited onboard power, and the need for the uniform service among the secondary users (SUs). This paper proposes an energy efficient resource allocation framework for the rate splitting multiple access (RSMA) enabled cognitive HAP networks that addresses these challenges. We formulate a non convex energy efficiency (EE) maximization problem that explicitly couples the RSMA’s common and private rate split with the beamforming design under the PU interference thresholds, the SU QoS requirements, and the fairness gap constraints. To solve this problem, we develop the two complementary algorithms: (i) the Dinkelbach SCA Joint Beamforming and Rate Allocation (D SCA JBRA), a high performance iterative scheme based on the fractional programming and the successive convex approximation; and (ii) the MRT NBS, a low complexity heuristic that integrates the maximum ratio transmission with the Nash bargaining based rate splitting to yield the closed form and the real time solutions. The extensive simulations against a comprehensive benchmark suite (including the OMA MRT, the RSMA EPA, the RSMA RBF, the NOMA FPA, and the RSMA WMMSE) show that the D SCA JBRA achieves up to 87 and 105% higher EE than the OMA MRT and the RSMA RBF, respectively, while maintaining the superior fairness. Meanwhile, the MRT NBS delivers the near optimal performance with over 90% lower computational complexity; and this validates its suitability for the real time HAP deployment. The proposed framework provides a scalable and sustainable solution for the interference resilient and the energy aware connectivity demands of the Industry 5.0 such as smart mining.

Similar content being viewed by others

Jumping knowledge graph attention network for resource allocation in wireless cellular system

Article Open access 20 May 2025

User-cooperative dynamic resource allocation for backscatter-aided wireless-powered MEC network

Article Open access 14 May 2025

A secure and energy-efficient routing using coupled ensemble selection approach and optimal type-2 fuzzy logic in WSN

Article Open access 02 January 2025

Acknowledgements

The authors extend their appreciation to Northern Border University, Saudi Arabia, for supporting this work through project number (NBU-CRP-2026-2903). The authors are thankful to the Deanship of Graduate Studies and Scientific Research at University of Bisha for supporting this work through the Fast-Track Research Support Program. This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2026/R/1447).

Funding

The authors extend their appreciation to Northern Border University, Saudi Arabia, for supporting this work through project number (NBU-CRP-2026-2903). The authors are thankful to the Deanship of Graduate Studies and Scientific Research at University of Bisha for supporting this work through the Fast-Track Research Support Program. This study is supported via funding from Prince Sattam bin Abdulaziz University project number (PSAU/2026/R/1447).

Author information

Authors and Affiliations

  1. Department of Computer Science, College of Science, Northern Border University, Arar, 73213, Saudi Arabia

    Asma A. Alhashmi, Khalid N. R. Alharbi & Abdulbasit A. Darem

  2. Department of Computer Science, College of Computing and Information Technology, Northern Border University, Rafha, Saudi Arabia

    Ahmed Badi Alshammari

  3. Department of Computer Science and Artificial Intelligence, College of Computing and Information Technology, University of Bisha, Bisha, 61922, Saudi Arabia

    Monir Abdullah

  4. Computer Science Department, College of Sciences and Humanities, Prince Sattam Bin Abdulaziz University, Aflaj, Saudi Arabia

    Abed Saif Ahmed Alghawli

  5. Department of Educational Technologies, Imam Abdulrahman Bin Faisal University, 4221, Dammam, Saudi Arabia

    Tareq M. Alkhaldi

  6. Center for Scientific Research and Entrepreneurship, Northern Border University, Arar, 73213, Saudi Arabia

    Shouki A. Ebad & Abdulbasit A. Darem

Authors
  1. Asma A. Alhashmi
    View author publications

    Search author on:PubMed Google Scholar

  2. Ahmed Badi Alshammari
    View author publications

    Search author on:PubMed Google Scholar

  3. Monir Abdullah
    View author publications

    Search author on:PubMed Google Scholar

  4. Abed Saif Ahmed Alghawli
    View author publications

    Search author on:PubMed Google Scholar

  5. Tareq M. Alkhaldi
    View author publications

    Search author on:PubMed Google Scholar

  6. Shouki A. Ebad
    View author publications

    Search author on:PubMed Google Scholar

  7. Khalid N. R. Alharbi
    View author publications

    Search author on:PubMed Google Scholar

  8. Abdulbasit A. Darem
    View author publications

    Search author on:PubMed Google Scholar

Corresponding author

Correspondence to Abdulbasit A. Darem.

Ethics declarations

Competing interests

The authors declare no competing interests.

Additional information

Publisher’s note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Open Access This article is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License, which permits any non-commercial use, sharing, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if you modified the licensed material. You do not have permission under this licence to share adapted material derived from this article or parts of it. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by-nc-nd/4.0/.

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Alhashmi, A.A., Alshammari, A.B., Abdullah, M. et al. Fair and scalable energy-efficient rate splitting multiple access in cognitive high altitude platform networks. Sci Rep (2026). https://doi.org/10.1038/s41598-026-50247-1

Download citation

  • Received: 05 February 2026

  • Accepted: 20 April 2026

  • Published: 02 May 2026

  • DOI: https://doi.org/10.1038/s41598-026-50247-1

Share this article

Anyone you share the following link with will be able to read this content:

Sorry, a shareable link is not currently available for this article.

Provided by the Springer Nature SharedIt content-sharing initiative

Keywords

  • Industry 5.0
  • Smart mining
  • High altitude platforms
  • Cognitive radio
  • Rate splitting multiple access
  • Energy efficiency
  • Resource allocation
Download PDF

Advertisement

Explore content

  • Research articles
  • News & Comment
  • Collections
  • Subjects
  • Follow us on Facebook
  • Follow us on X
  • Sign up for alerts
  • RSS feed

About the journal

  • About Scientific Reports
  • Contact
  • Journal policies
  • Guide to referees
  • Calls for Papers
  • Editor's Choice
  • Journal highlights
  • Open Access Fees and Funding

Publish with us

  • For authors
  • Language editing services
  • Open access funding
  • Submit manuscript

Search

Advanced search

Quick links

  • Explore articles by subject
  • Find a job
  • Guide to authors
  • Editorial policies

Scientific Reports (Sci Rep)

ISSN 2045-2322 (online)

nature.com footer links

About Nature Portfolio

  • About us
  • Press releases
  • Press office
  • Contact us

Discover content

  • Journals A-Z
  • Articles by subject
  • protocols.io
  • Nature Index

Publishing policies

  • Nature portfolio policies
  • Open access

Author & Researcher services

  • Reprints & permissions
  • Research data
  • Language editing
  • Scientific editing
  • Nature Masterclasses
  • Research Solutions

Libraries & institutions

  • Librarian service & tools
  • Librarian portal
  • Open research
  • Recommend to library

Advertising & partnerships

  • Advertising
  • Partnerships & Services
  • Media kits
  • Branded content

Professional development

  • Nature Awards
  • Nature Careers
  • Nature Conferences

Regional websites

  • Nature Africa
  • Nature China
  • Nature India
  • Nature Japan
  • Nature Middle East
  • Privacy Policy
  • Use of cookies
  • Legal notice
  • Accessibility statement
  • Terms & Conditions
  • Your US state privacy rights
Springer Nature

© 2026 Springer Nature Limited

Nature Briefing AI and Robotics

Sign up for the Nature Briefing: AI and Robotics newsletter — what matters in AI and robotics research, free to your inbox weekly.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing: AI and Robotics