Applying the adaptive exponential min-sum decoding algorithm in a communication system of low-altitude unmanned aerial vehicles

DOI: 10.21293/1818-0442-2026-29-1-40-45

Download article in PDF format

JATS xml

Abstract: Relevance. Rayleigh fading decreases communication reliability of low-altitude unmanned aerial vehicles (UAVs), thus raising bit error rate (BER). Low-density parity-check (LDPC) codes being high effective for channel coding reduce the impact of interference caused by such fading. However, system performance depends not only on the coding scheme, but also on the decoding algorithm. The offset min-sum (OMS) algorithm, despite its low computational complexity, demonstrates insufficiently small BER. In contrast, the adaptive exponential min-sum (AEMS) algorithm, while retaining the low complexity, enhances noise immunity through its adaptive correction mechanism. Purpose of the study is to compare BERs of AEMS and OMS algorithms in the Rayleigh fading channel. Methods. A Rayleigh fading channel model for UAVs and simulation were used. Results. In contrast to OMS BER, the average AEMS BER decreased for different SNRs and orders of quadrature amplitude modulation (QAM). This reduction was significant, especially at high SNR levels: almost up to a factor of 12 at SNR=16 dB for 8-QAM. Practical significance. Even though the AEMS algorithm has higher computational complexity than the OMS algorithm, it enhances decoding. Therefore, for UAVs with sufficiently high computational resources, AEMS effectively raises communication channel reliability. The results of this study can be used in UAV design.

Keywords: decoding algorithm, LDPC codes, UAV, Rayleigh fading, bit error ratio

Funding: The study was carried out with the financial support of the Russian Science Foundation under grant No. 25-29-00139 (https://rscf.ru/project/25-29-00139/) at TUSUR.

For citation:
Chzhan V., Gazizov T. R. Applying the adaptive exponential min-sum decoding algorithm in a communication system of low-altitude unmanned aerial vehicles. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioelektroniki, 2026, vol. 29, no. 1, pp. 40–45. DOI: 10.21293/1818-0442-2026-29-1-40-45

Authors and copyright holders:

  • Chzhan V. , Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)
  • Gazizov T. R. , Tomsk State University of Control Systems and Radioelectronics (Tomsk, Russia)

  • 1. Makarenko S.I. Counter Unmanned Aerial Vehicles. Part 4. Functional Destroying with Microwave and Laser Weapons. Systems of Control, Communication and Security, 2020, no. 3, pp. 122–157. DOI: 10.24411/2410-9916-2020-10304 (in Russ.).
  • 2. Belousov A.O., Gazizov T.R. Podkhody k sozdaniyu metodologii obespecheniya elektromag-nitnoy sovmestimosti sredstv funktsional'nogo porazheniya elektromagnitnym izlu-cheniyem s drugimi radioelektron-nymi sredstvami v sostave kompleksa protivodeystviya bes-pilotnym letatel'nym appa-ratam [Approaches to create a methodology for assuring the electromagnetic compatibility of functional destruction means by electromagnetic radiation with other radioelectronic means of a complex for unmanned aerial vehicles countermeasures]. Materialy XI mezhdunarodnoy nauchno-tekhnicheskoy konfe-rentsii «Problemy sovershenstvovaniya robototekhnicheskikh i intellektual'nykh sistem letatel'nykh apparatov». [«Problems of enhancement of robotic and intellectual systems of aerial vehicles»]. Proceedings of XI International scientific-technical conference, M., MAI-PRINT, Dec. 10–11, 2020, pp. 1–5 (in Russ.).
  • 3. Belousov A.O., Nosov A.V. [Enhancing the Elec-tromagnetic Immunity of the Unmanned Aerial Vehicle under High-Intensity Electromagnetic Radiation: A Comprehensive Approach]. Systems of Control, Communication and Security, 2025, no. 1, pp. 10–47. DOI: 10.24412/2410-9916-2025-1-010-047 (in Russ.).
  • 4. Mazunov D.A., Chernikova E.B., Gazizov T.R. [Electromagnetic Immunity of Unmanned Aerial Vehicle Onboard Electronics to High-Power Electromagnetic Disturb-ances: Vulnerabilities, Assessment, and Protective Measures]. Journal Achievements of Modern Radioelectronics, 2026. In press (in Russ.).
  • 5. Gazizov T.T. [Methodology for Design of Critical Nodes of Printed Circuit Boards of Unmanned Aerial Sys-tems]. Engineering education, 2026, no. 40. In press (in Russ.).
  • 6. Chen L., Xu J., Djurdjevic I., Lin S. Near-Shannon-limit quasicyclic low-density parity-check codes. IEEE Trans-actions on Communications, 2004, vol. 52, pp. 1038–1042.
  • 7. Zhang W., Jayakody D.N.K. On the competitiveness of LDPC codes in wireless. SLTC IRC, 2022. pp. 93–95.
  • 8. Zhang W., Gazizov T.R. [LDPC and Polar Codes in 6G: A Comparative Study and Unified Frameworks]. Pro-ceedings of Telecommunication Universities, 2025, vol. 11, no. 5, pp. 42–59 (in Russ.).
  • 9. Zhang W., Gazizov T.T. [Application of QC-LDPC codes in UAV communication system]. Doklady Tomskogo gosudarstvennogo universiteta sistem upravleniya i radioel-ektroniki, 2025, vol. 28, no. 2, pp. 14–21 (in Russ.).
  • 10. Zhang W., Mouhamad I., Saklakov V.M. [Devel-opment of adaptive exponential min sum decoding algorithm]. Modeling, optimization and information technology, 2024, vol. 12, no. 4, pp. 1–11 (in Russ.).
  • 11. Tanner R. A recursive approach to low complexity codes. IEEE Transactions on information theory, 2003, vol. 27, pp. 533–547.
  • 12. Jadhav M., Pancholi A., Sapkal A. Analysis and implementation of soft decision decoding algorithm of LDPC. International Journal of Engineering Trends and Technology, 2013, vol. 4. no. 6, pp. 2380–2384.
  • 13. Chen J., Fossorier M.P. Near optimum universal be-lief propagation-based decoding of low-density parity check codes. IEEE Transactions on communications, 2002, vol. 50, pp. 406–414.
  • 14. Fossorier M.P., Mihaljevic M., Imai H. Reduced complexity iterative decoding of low-density parity check codes based on belief propagation. IEEE Transactions on communications, 1999, vol. 47, pp. 673–680.
  • 15. Chen J., Fossorier M.P. Density evolution for two improved BP-based decoding algorithms of LDPC codes. IEEE communications letters, 2002, vol. 6, no. 5, pp. 208–210.
  • 16. Zeng Y., Zhang R., Lim T.J. Wireless communica-tions with unmanned aerial vehicles: Opportunities and chal-lenges. IEEE Communications Magazine, 2016, vol. 54, pp. 36–42.
  • 17. Mozaffari M., Saad W., Bennis M., Nam Y.H., Debbah M. A tutorial on UAVs for wireless networks: Ap-plica-tions, challenges, and open problems. IEEE Communications Surveys & Tutorials, 2019, vol. 21, pp. 2334–2360.
  • 18. Ali M.F., Jayakody D.N.K. Muthuchidambarana-than P. Revolutionizing firefighting: UAV-based optical communication systems for wildfires. Photonics, 2024, vol. 11, p. 656.
  • 19. Cai X., Song J., Rodríguez-Piñeiro J., Mogensen P.E., Tufvesson F. Characterizing the small-scale fading for low altitude UAV channels. ICWMC 2021: The Seventeenth International Conference on Wireless and Mobile Communi-cations, Nice, France, IARIA, 2021, pp. 16–19.
  • 20. Singya P.K., Shaik P., Kumar N., Bhatia V., Alouini M.-S. A survey on higher-order QAM constellations: Technical challenges, recent advances, and future trends. IEEE Open Journal of the Communications Society, 2021, vol. 2, pp. 617–655.
  • 21. Rybalov D.V., Moiseenko A.A., Pokamestov D.A., Kryukov Y.V., Filatov A.V., Zabolotsky A.M. Formation of extended modulation code schemes based on the LDPC codec 5G NR. T-Comm, 2024, vol. 18, no. 12, pp. 41–46.
  • 22. Zhang W. Optimizirovannye algoritmy decodiro-vaniya dlya kodov s nizkoy plotnost'iy proverok na tsetkost' i ih primenenie v sistemah sviazi [Optimized Algorithms of Decoding for Low-density Parity-check codes and its Using in Communication Systems], PhD Thesis. Tomsk, TUSUR, 2025, 140 р.
Editorial office address

Executive Secretary of the Editor’s Office

 Editor’s Office: 40 Lenina Prospect, Tomsk, 634050, Russia

  Phone / Fax: + 7 (3822) 701-582

  journal@tusur.ru

 

Viktor N. Maslennikov

Executive Secretary of the Editor’s Office

 Editor’s Office: 40 Lenina Prospect, Tomsk, 634050, Russia

  Phone / Fax: + 7 (3822) 51-21-21 / 51-43-02

Subscription for updates