IJWMT Vol. 15, No. 5, 8 Oct. 2025
Cover page and Table of Contents: PDF (size: 1066KB)
PDF (1066KB), PP.1-20
Views: 0 Downloads: 0
Fitness Value, Jamming Angle, Linearly Constrained Minimum Variance (LCMV) Algorithm, Minimum Variance Distortionless Response (MVDR), Algorithm and Steering Vector
One of the key aspects of 5G networks is the implementation of massive MIMO (Multiple Input Multiple Output) technology combined with adaptive beamforming. This study explores the use of a linear array antenna to manage and reduce unwanted signals such as jamming, interference, and noise, while also boosting the signal strength towards the intended user or device. The main challenge lay in optimizing the weights of the antenna elements, which was tackled by employing adaptive algorithms like LCMV (Linearly Constrained Minimum Variance) and RLS (Recursive Least Squares). To simplify the optimization process, two soft computing techniques—Particle Swarm Optimization (PSO) and Genetic Algorithm (GA)—were utilized. The performance of the beamforming weights and radiation patterns was assessed in terms of minimizing unwanted signals and maximizing the desired signal. To check how well the proposed methods work, some commonly used algorithms like MVDR (Minimum Variance Distortionless Response) and LCMV are also applied. The outcomes were compared to those from other algorithms. A Differential Beamforming method is applied to examine how effectively the system can focus the signal in the target direction while minimizing unwanted interference from other directions. Additionally, the fminsearch algorithm, which is a basic local search method, is used to compare how well it can adjust the beamforming weights compared to the more advanced global optimization techniques. The results indicate that PSO and GA produce highly similar performance levels.
Akila Nipo, Rubayed All Islam, Md. Imdadul Islam, "Adaptive Beamforming of Linear Array Antenna System Using Particle Swarm Optimization and Genetic Algorithm", International Journal of Wireless and Microwave Technologies(IJWMT), Vol.15, No.5, pp. 1-20, 2025. DOI:10.5815/ijwmt.2025.05.01
[1]L. Hou, Y. Liu, X. Ma, Y. Li, S. Na and M. Jin, "Particle Swarm Optimization Inspired Low-complexity Beamforming for MmWave Massive MIMO Systems," 2020 IEEE Wireless Communications and Networking Conference (WCNC), Seoul, Korea (South), 2020, pp. 1-6, doi: 10.1109/WCNC45663.2020.9120692.
[2]W.-T. Li, F. Wei, and Y.-Q. Hei, “An improved particle swarm optimization algorithm for pattern synthesis of phased arrays,” Prog. Electromagn. Res., vol. 82, pp. 319–332, Jan. 2008, doi: 10.2528/PIER08030904.
[3]M. A. Almagboul et al., "An Efficient Hybrid Beamforming Design for Massive MIMO Receive Systems via SINR Maximization Based on an Improved Bat Algorithm," in IEEE Access, vol. 7, pp. 136545-136558, 2019, doi: 10.1109/ACCESS.2019.2942350.
[4]Y. Zhou and S. Guo, "PSO-based vertical beamforming for 3D massive MIMO systems in 5G," in Proc. 10th Int. Conf. Commun. Netw. China (ChinaCom), Shanghai, China, 2015, pp. 819–823, doi: 10.1109/CHINACOM.2015.7498050.
[5]Y. Bella and F. Kebbab, "Application of Fminsearch optimization to minimize total maintenance cost with the aim of reducing environmental degradation," Engineering, Technology & Applied Science Research, vol. 12, pp. 8548–8554, Jun. 2022, doi: 10.48084/etasr.4887.
[6]S. Pandey, "Optimization of PID controller parameters for speed control of DC motor using Firefly and Fminsearch algorithms," SSRN Electronic Journal, Mar. 2023, doi: 10.2139/ssrn.4378784.
[7]G. Huang, J. Benesty, J. Chen and I. Cohen, "Robust and steerable kronecker product differential beamforming With rectangular microphone arrays," ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Barcelona, Spain, 2020, pp. 211-215, doi: 10.1109/ICASSP40776.2020.9052988.
[8]H. Cui, J. Wang, J. Xu and Q. Niu, "Hydroacoustic Array Beamforming Technique Based on KPM-LCMV Algorithm," 2023 IEEE 6th International Conference on Electronic Information and Communication Technology (ICEICT), Qingdao, China, 2023, pp. 4-9, doi: 10.1109/ICEICT57916.2023.10245162.
[9]V. P. Curtarelli and I. Cohen, "Constant-beamwidth LCMV beamformer with rectangular arrays," Algorithms, vol. 16, no. 8, art. no. 385, 2023, doi: 10.3390/a16080385.
[10]J. Andrés Vásquez-Peralvo et al., "Multibeam Beamforming for Direct Radiating Arrays in Satellite Communications Using Genetic Algorithm," in IEEE Open Journal of the Communications Society, vol. 5, pp. 2343-2357, 2024, doi: 10.1109/OJCOMS.2024.3385021.
[11]S. M. Amer, A. A. M. Khalaf, A. H. Hussein, S. A. Alqahtani, M. H. Dahshan, and H. M. Kassem, "New antenna array beamforming techniques based on hybrid convolution/genetic algorithm for 5G and beyond communications," Computational Modeling in Engineering & Sciences, vol. 138, no. 3, pp. 2749–2767, 2024, doi: 10.32604/cmes.2023.029138.
[12]I. Khatami and M. Y. Abdollahzadeh Jamalabadi, "Optimal design of microphone array in a planar circular configuration by genetic algorithm enhanced beamforming," Journal of Thermal Analysis and Calorimetry, vol. 145, pp. 1817–1825, 2021, doi: 10.1007/s10973-020-09994-0.
[13]D. Kadhiravan and B. Ramsugesh, “GA based adaptive beamforming in high-interference environments for XG networks,” Irish Interdisciplinary Journal of Science & Research (IIJSR), vol. 4, pp. 48–54, 2020.
[14]S. Rani, S. H. Ahmed, and R. Rastogi, “Dynamic clustering approach based on wireless sensor networks genetic algorithm for IoT applications,” Wireless Networks, vol. 26, May 2020, doi: 10.1007/s11276-019-02083-7.
[15]A. Durmus, R. Kurban, and E. Karakose, “A comparison of swarm-based optimization algorithms in linear antenna array synthesis,” 2021, doi: 10.21203/rs.3.rs-233415/v1.
[16]C. Meng, Y. Zhang, M. Tm, and A. El-Makadema, “A multiobjective array beamforming method for arrays of flexible shape,” Electronics, vol. 13, p. 752, Feb. 2024, doi: 10.3390/electronics13040752.
[17]F. Asghari, B. Mozaffari Tazehkand, and R. Abdolee, “PSO-based optimal beamforming in MmWave-NOMA systems with sparse antenna array,” Soft Computing, vol. 26, 2022, doi: 10.1007/s00500-022-06918-y.
[18]R. Maina, K. Langat, and P. Kihato, "Collaborative beamforming in wireless sensor networks using a novel particle swarm optimization algorithm variant," Heliyon, vol. 7, p. e08247, Oct. 2021, doi: 10.1016/j.heliyon.2021.e08247.
[19]M. Jahandideh-Tehrani, O. Bozorg-Haddad, and H. A. Loáiciga, “Application of particle swarm optimization to water management: an introduction and overview,” Environmental Monitoring and Assessment, vol. 192, no. 5, p. 281, Apr. 2020, doi: 10.1007/s10661-020-8228-z.
[20]M. Anitha and N. G. Kurahatti, "Adaptive beamforming using neural network and fuzzy logic model for measurement data fusion," in Proc. 2015 Int. Conf. Commun. Signal Process. (ICCSP), Melmaruvathur, India, 2015, pp. 209–214, doi: 10.1109/ICCSP.2015.7322870.
[21]C. -H. Hsu, C. -H. Chen, W. -J. Shyr, K. -H. Kuo, Y. -N. Chung and T. -C. Lin, "Optimizing Beam Pattern of Linear Adaptive Phase Array Antenna Based on Particle Swarm Optimization," 2010 Fourth International Conference on Genetic and Evolutionary Computing, Shenzhen, China, 2010, pp. 586-589, doi: 10.1109/ICGEC.2010.150.
[22]W. Cui and Y. Lu, "Adaptive beamforming for arbitrary array by particle swarm optimization," 2015 IEEE International Conference on Computational Electromagnetics, Hong Kong, China, 2015, pp. 79-80, doi: 10.1109/COMPEM.2015.7052562.
[23]J. Ge, L. Zhang, Y.-C. Liang and S. Sun, "Deep Reinforcement Learning for Distributed Coordinated Beamforming in Massive MIMO," 2023 IEEE 34th Annual International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC), Toronto, ON, Canada, 2023, pp. 1–6, doi: 10.1109/PIMRC56721.2023.10294040.
[24] E. Guo, Y. Gao, C. Hu and J. Zhang, "A Hybrid PSO-DE Intelligent Algorithm for Solving Constrained Optimization Problems Based on Feasibility Rules," Mathematics, vol. 11, no. 3, p. 522, 2023, doi: 10.3390/math11030522.
[25]A. Ahmadi, "A Convolutional Neural Network for Beam Prediction in 5G and Beyond Massive MIMO Systems," Journal of Engineering and Applied Sciences, vol. 11, pp. 141–146, Jan. 2024.
[26]S. Sumathi, T. Ramesh, and Z. Ding, "PSO-Based Power Allocation in Multiuser Hybrid Beamforming mmWave NOMA," Wireless Networks, vol. 29, pp. 1–13, Mar. 2023
[27]M. Khawaldeh and S. Khawaldeh, “Design of Optimal Beamforming using Particles Swarm Optimization,” International Journal of Computer Applications, vol. 174, pp. 25–32, Sep. 2017, doi: 10.5120/ijca2017915327.
[28]Y. Liao, G. Zeng, C. Wu, W. -Q. Wang and Z. Zheng, "Frequency Diverse Array Design for Deceptive Jamming Suppression Using Particle Swarm Optimization," 2021 IEEE International Geoscience and Remote Sensing Symposium IGARSS, Brussels, Belgium, 2021, pp. 2719-2722, doi: 10.1109/IGARSS47720.2021.9554788.
[29]D. Ram, D. Mandal, R. Kar, and S. Ghoshal, “Optimized Hyper Beamforming of Linear Antenna Arrays Using Collective Animal Behaviour,” TheScientificWorldJournal, vol. 2013, p. 982017, Jul. 2013, doi: 10.1155/2013/982017.
[30]M. Atzemourt, C. Younes, O. Bencharef, and Z. Hachkar, “Particle swarm optimization for beamforming design in a cognitive radio,” Indones. J. Electr. Eng. Comput. Sci., vol. 37, no. 1, pp. 154–163, Jan. 2025, doi: 10.11591/ijeecs.v37.i1.pp154-163.
[31]V. L. Barbosa, E. Schlosser, C. Lucatel, R. Machado, and M. Heckler, “Beamforming of a Linear Array Applying PSO Algorithm with Restrictive Approach,” J. Commun. Inf. Syst., vol. 31, Jan. 2016, doi: 10.14209/jcis.2016.11.
[32]A. Sohail, "Genetic Algorithms in the Fields of Artificial Intelligence and Data Sciences," Annals of Data Science, vol. 10, no. 4, pp. 1007–1018, Aug. 2023. doi: 10.1007/s40745-021-00354-9.
[33]S. Katoch, S. Chauhan, and V. Chahar, "A review on genetic algorithm: past, present, and future," Multimedia Tools and Applications, vol. 80, pp. 8091–8126, Oct. 2020. doi: 10.1007/s11042-020-10139-6.
[34]T. Mathew, “Genetic algorithm,” Indian Institute of Technology Bombay (IIT Bombay), Tech. Rep., 2012. [Online]. Available: https://datajobs.com/data-science-repo/Genetic-Algorithm-Guide-%5BTom-Mathew%5D.pdf.
[35]D. Beasley, D. R. Bull, and R. R. Martin, "An overview of Genetic Algorithms: Pt1, Fundamentals," University Computing Archive, vol. 15, pp. 58–69, 1993. [Online]. Available: https://api.semanticscholar.org/CorpusID:15123759 .
[36]C. R. Reeves, "Genetic Algorithms," in Handbook of Metaheuristics, M. Gendreau and J.-Y. Potvin, Eds. Boston, MA: Springer US, 2010, pp. 109–139. doi: 10.1007/978-1-4419-1665-5_5.
[37]D. Liu, "Mathematical modeling analysis of genetic algorithms under schema theorem," Journal of Computational Methods in Sciences and Engineering, vol. 19, no. 1_suppl, pp. 131–137, 2019, doi: 10.3233/JCM-191019.
[38]U. Bodenhofer, Genetic Algorithms: Theory and Applications, Lecture Notes, Fuzzy Logic Laboratorium Linz-Hagenberg, Winter 2003/2004.
[39]F. Gao and L. Han, "Implementing the Nelder-Mead simplex algorithm with adaptive parameters," Computational Optimization and Applications, vol. 51, pp. 259–277, 2012, doi: 10.1007/s10589-010-9329-3.
[40]J. A. Nelder and R. Mead, "A simplex method for function minimization," The Computer Journal, vol. 7, no. 4, pp. 308–313, Jan. 1965, doi: 10.1093/comjnl/7.4.308.
[41]J. Lagarias, J. Reeds, M. Wright, and P. Wright, "Convergence properties of the Nelder-Mead simplex algorithm in low dimensions," SIAM Journal on Optimization, vol. 9, no. 1, pp. 112–147, 1998, doi: 10.1137/S1052623496303470.
[42]G. Huang, J. Benesty, I. Cohen and J. Chen, "A Simple Theory and New Method of Differential Beamforming With Uniform Linear Microphone Arrays," in IEEE/ACM Transactions on Audio, Speech, and Language Processing, vol. 28, pp. 1079-1093, 2020, doi: 10.1109/TASLP.2020.2980989.
[43]M. Khamis and S. Zhang, "Robust adaptive sidelobe and interference suppression for uniform circular array antenna based on back-propagation neural network," 2023, doi: 10.21203/rs.3.rs-3127688/v1.
[44]H. Kikuchi, E. Yoshikawa, T. Ushio and Y. Hobara, "Adaptive Beamforming Using Steering Vector Correction for Phased-Array Weather Radar," in IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, vol. 14, pp. 8419-8426, 2021, doi: 10.1109/JSTARS.2021.3106002.
[45]J. Wang, "Parameter Identification for Fractional-order Chaotic System by Using Nelder–Mead Simplex Gravitational Search Algorithm," 2020 39th Chinese Control Conference (CCC), Shenyang, China, 2020, pp. 1144-1149, doi: 10.23919/CCC50068.2020.9189224.
[46]G. Huang, Y. Wang, J. Benesty, I. Cohen and J. Chen, "Combined Differential Beamforming With Uniform Linear Microphone Arrays," ICASSP 2021 - 2021 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), Toronto, ON, Canada, 2021, pp. 781-785, doi: 10.1109/ICASSP39728.2021.9414189.
[47]Z. Guan, K. Hiraoka and T. Yamamoto, "Optimization of an Initial Database using Nelder-Mead Method in designing Database-Driven PID Controller," 2021 26th IEEE International Conference on Emerging Technologies and Factory Automation (ETFA ), Vasteras, Sweden, 2021, pp. 1-6, doi: 10.1109/ETFA45728.2021.9613665.
[48]L. N. Thalluri, S. Vadlamudi, P. Vinnakota, and D. Gone, "Optimized beam forming by using LCMV, MVDR and PSO for advanced 5G applications," SSRN Electronic Journal, Jan. 2020, doi: 10.2139/ssrn.3643888.
[49]L. N. Thalluri, S. Vadlamudi, P. Vinnakota, and D. Gone, "Optimized beam forming by using LCMV, MVDR and PSO for advanced 5G applications," SSRN Electronic Journal, Jan. 2020, doi: 10.2139/ssrn.3643888.
[50]N. Boughaba and C. Chettah, "Adaptive beamforming algorithm based on MVDR for smart linear dipole array with known mutual coupling," Progress In Electromagnetics Research C, vol. 124, pp. 125–134, Sep. 2022, doi: 10.2528/PIERC22080103.
[51]Y. Huang, M. Zhou and S. A. Vorobyov, "New Designs on MVDR Robust Adaptive Beamforming Based on Optimal Steering Vector Estimation," in IEEE Transactions on Signal Processing, vol. 67, no. 14, pp. 3624-3638, 15 July15, 2019, doi: 10.1109/TSP.2019.2918997.
[52]R. Qian, M. Sellathurai and D. Wilcox, "A Study on MVDR Beamforming Applied to an ESPAR Antenna," in IEEE Signal Processing Letters, vol. 22, no. 1, pp. 67-70, Jan. 2015, doi: 10.1109/LSP.2014.2349574.
[53]L. Xie, Z. He, J. Tong, J. Li, and J. Xi, "Cross-validated tuning of shrinkage factors for MVDR beamforming based on regularized covariance matrix estimation," in Proc. of a Conference, 2021. [Online]. Available: https://api.semanticscholar.org/CorpusID:233025466.
[54]J. Capon, "High-resolution frequency-wavenumber spectrum analysis," in Proceedings of the IEEE, vol. 57, no. 8, pp. 1408-1418, Aug. 1969, doi: 10.1109/PROC.1969.7278.
[55]J. P. Åsen, J. I. Buskenes, C. -I. C. Nilsen, A. Austeng and S. Holm, "Implementing Capon beamforming on the GPU for real time cardiac ultrasound imaging," 2012 IEEE International Ultrasonics Symposium, Dresden, Germany, 2012, pp. 2133-2136, doi: 10.1109/ULTSYM.2012.0532.