DOA Estimation of Linear Dipole Arrays Based on Horse Herd Optimization Algorithm
DOI:
https://doi.org/10.26636/jtit.2026.1.2422Keywords:
DOA estimation, horse herd optimization, linear dipole arraysAbstract
Subspace-based direction of arrival (DOA) estimation algorithms, such as MUSIC and ESPRIT, are designed for adaptive smart antenna arrays. However, these subspace methods require a large number of signal snapshots and sufficient angular separation between signals to provide an accurate DOA estimation of RF signal sources. Moreover, their resolution degrades significantly in severe noise scenarios. This study proposes a swarm intelligence (SI) algorithm, known as horse herd optimization (HOA), to address these limitations. An optimizer is employed as a direction-finding method to estimate the directions of arrival (DoAs) of incident signals impinging on a linear array of half-wavelength dipole (HWD) antennas by examining the global minimum of a non-linear cost function. This cost function is defined as the difference between the actual and estimated angles and is used to evaluate candidate solutions. Simulation results of the proposed algorithm have been compared with other recognized algorithms, including ESPRIT, root-MUSIC, and PSO, to verify estimation accuracy, convergence behavior, robustness against the number of elements, noise, and snapshots over Monte Carlo trials. It has been observed that the suggested HOA achieves better performance with a few snapshots, outperforms PSO and subspace-based methods when it comes to estimating DOA of incoming signals, particularly in a low signal-to-noise ratio (SNR) environment, and even when only fewer snapshots are available.
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[1] N. Ruan, H. Wang, F. Wen, and J. Shi, "DOA Estimation in B5G/6G: Trends and Challenges", Sensors, vol. 22, art. no. 5125, 2022. DOI: https://doi.org/10.3390/s22145125
View in Google Scholar
[2] A.E. Zorkun, M.A. Salas-Natera, R.M. Rodrıguez-Osorio, and S. Chatzinotas, "Energy Efficient Low-complexity RIS-aided 3-D DoA Estimation and Target Tracking Algorithm via Matrix Completion", IEEE Access, vol. 12, pp. 197929-197941, 2024. DOI: https://doi.org/10.1109/ACCESS.2024.3511717
View in Google Scholar
[3] V. Dakulagi and M. Bakhar, "Smart Antenna System for DOA Estimation Using Single Snapshot", Wireless Personal Communications, vol. 107, pp. 81-93, 2019. DOI: https://doi.org/10.1007/s11277-019-06241-0
View in Google Scholar
[4] O. Barkat, "Capon DOD/DOA Estimation Algorithm for Bistatic MIMO Radar Using Dipole Antenna Arrays with Known Mutual Coupling", Journal of Telecommunications and Information Technology, vol. 101, pp. 1-7, 2025. DOI: https://doi.org/10.26636/jtit.2025.3.2121
View in Google Scholar
[5] S.K. Imtiaj, I.S. Misra, and S. Bhattacharya, "Revisiting Smart Antenna Array Design with Multiple Interferers Using Basic Adaptive Beamforming Algorithms: Comparative Performance Study with Testbed Results", Engineering Reports, vol. 3, pp. 1-32, 2020. DOI: https://doi.org/10.1002/eng2.12295
View in Google Scholar
[6] F. Gross, Smart Antenna for Wireless Communication, New York: McGraw-Hill, 288 p., 2005 (ISBN: 9780071447898).
View in Google Scholar
[7] N. Boughaba and O. Barkat, "LMS and RLS Beamforming Algorithms Based Linear Antenna Array with Known Mutual Coupling", Journal of Electromagnetic Waves and Applications, vol. 37, pp. 1449-1462, 2024. DOI: https://doi.org/10.1080/09205071.2023.2251979
View in Google Scholar
[8] A. Kuchar et al., "A Robust DOA-Based Smart Antenna Processor for GSM Base Stations", IEEE International Conference on Communications, Vancouver, Canada, 1999.
View in Google Scholar
[9] M. Bensalem and O. Barkat, "DOA Estimation of Linear Dipole Array with Known Mutual Coupling Based on ESPRIT and MUSIC", Radio Science, vol. 57, pp. 1-15, 2022. DOI: https://doi.org/10.1029/2021RS007294
View in Google Scholar
[10] K. Hameed et al., "DOA Estimation in Low SNR Environment through Coprime Antenna Arrays: An Innovative Approach by Applying Flower Pollination Algorithm", Applied Sciences, vol. 11, art. no. 7985, 2021. DOI: https://doi.org/10.3390/app11177985
View in Google Scholar
[11] T.S. Bird, Mutual Coupling Between Antennas, UK: Wiley, 480 p., 2021 (ISBN: 9781119564980). DOI: https://doi.org/10.1002/9781119565048
View in Google Scholar
[12] K. Gowri and P. Palanisamy, "Two Dimensional Direction of Arrival Estimation Algorithm for Coherent Signals Using Three Parallel Uniform Linear Arrays", Journal of Communications Technology and Electronics, vol. 64, pp. 1383-1390, 2019. DOI: https://doi.org/10.1134/S106422691912009X
View in Google Scholar
[13] R. Roy and T. Kailath, "ESPRIT-Estimation of Signal Parameters via Rotational Invariance Techniques", IEEE Transactions on Acoustics, Speech, & Signal Processing, vol. 37, pp. 984-995, 1989. DOI: https://doi.org/10.1109/29.32276
View in Google Scholar
[14] R. Schmidt, "Multiple Emitter Location and Signal Parameter Estimation", IEEE Transactions on Antennas and Propagation, vol. 34, pp. 276-280, 1986. DOI: https://doi.org/10.1109/TAP.1986.1143830
View in Google Scholar
[15] J. Yao et al., "Satellite Interference Source Direction of Arrival (DOA) Estimation Based on Frequency Domain Covariance Matrix Reconstruction", Sensors, vol. 23, art. no. 7575, 2023. DOI: https://doi.org/10.3390/s23177575
View in Google Scholar
[16] E. Talbi, Metaheuristics from Design to Implementation, John Wiley & Sons, 624 p., 2009 (ISBN: 978-0470278581). DOI: https://doi.org/10.1002/9780470496916
View in Google Scholar
[17] B. Morales-Castaneda et al., "A Better Balance in Metaheuristic Algorithms: Does It Exist?", Swarm and Evolutionary Computation, vol. 54, art. no. 100671, 2020. DOI: https://doi.org/10.1016/j.swevo.2020.100671
View in Google Scholar
[18] S. Mirjalili and A. Lewis, "The Whale Optimization Algorithm", Advances in Engineering Software, vol. 95, pp. 51-67, 2016. DOI: https://doi.org/10.1016/j.advengsoft.2016.01.008
View in Google Scholar
[19] F. Fausto et al., "From Ants to Whales: Metaheuristics for All Tastes", Artificial Intelligence Review, vol. 53, pp. 753-810, 2020. DOI: https://doi.org/10.1007/s10462-018-09676-2
View in Google Scholar
[20] R. Rajakumar, P. Dhavachelvan, and T. Vengattaraman, "A Survey on Nature Inspired Meta-heuristic Algorithms with its Domain Specifications", International Conference on Communication and Electronics Systems (ICCES), Coimbatore, India, 2016. DOI: https://doi.org/10.1109/CESYS.2016.7889811
View in Google Scholar
[21] J.C. Chang, "DOA Estimation for Local Scattered CDMA Signals by Particle Swarm Optimization", Sensors, vol. 12, pp. 3228-3242, 2012. DOI: https://doi.org/10.3390/s120303228
View in Google Scholar
[22] N. Ahmed et al., "Performance Analysis of Efficient Computing Techniques for Direction of Arrival Estimation of Underwater Multi Targets", IEEE Access, vol. 9, pp. 33284-33298, 2021. DOI: https://doi.org/10.1109/ACCESS.2021.3060819
View in Google Scholar
[23] W. Shi, J. Huang, and Y. Hou, "Fast DOA Estimation Algorithm for MIMO Sonar Based on Ant Colony Optimization", Journal of Systems Engineering and Electronics, vol. 23, pp. 173-178, 2012. DOI: https://doi.org/10.1109/JSEE.2012.00022
View in Google Scholar
[24] S.A.H. Parsa, A.E. Zadeh, and S.J. Kazemitabar, "A Novel Modified Artificial Bee Colony for DOA Estimation", International Journal of Sensors Wireless Communications and Control, vol. 11, pp. 96-106, 2021. DOI: https://doi.org/10.2174/2210327909666191209154508
View in Google Scholar
[25] S. Akbar et al., "Flower Pollination Heuristics for Parameter Estimation of Electromagnetic Plane Waves", Computer Modeling in Engineering & Sciences, vol. 68, pp. 2529-2543, 2021. DOI: https://doi.org/10.32604/cmc.2021.016097
View in Google Scholar
[26] M. Jain, V. Singh, and A. Rani, "A Novel Nature-inspired Algorithm for Optimization: Squirrel Search Algorithm", Swarm and Evolutionary Computation, vol. 44, pp. 148-175, 2019. DOI: https://doi.org/10.1016/j.swevo.2018.02.013
View in Google Scholar
[27] N. Ahmed, H. Wang, M.A.Z. Raja, and W. Ali, "Novel Design of Grey Wolf Optimization Heuristics for High Resolution Direction of Arrival Estimation in Acoustic Plane Waves", Wireless Personal Communications, vol. 128, pp. 2507-2529, 2022. DOI: https://doi.org/10.1007/s11277-022-10057-w
View in Google Scholar
[28] A. Sharma et al., "Maximum Likelihood Direction of Arrival Estimation Using Chicken Swarm Optimization Algorithm", International Journal of Mathematical Engineering and Management Sciences, vol. 6, pp. 621-635, 2021. DOI: https://doi.org/10.33889/IJMEMS.2021.6.2.038
View in Google Scholar
[29] D.H. Wolpert and W.G. Macready, "No Free Lunch Theorems for Optimization", IEEE Transactions on Evolutionary Computation, vol. 1, pp. 67-82, 1997. DOI: https://doi.org/10.1109/4235.585893
View in Google Scholar
[30] F. MiarNaeimi, G. Azizyan, and M. Rashki, "Horse Herd Optimization Algorithm: A Nature-inspired Algorithm for High-dimensional Optimization Problems", Knowledge-Based Systems, vol. 213, art. no. 106711, 2021. DOI: https://doi.org/10.1016/j.knosys.2020.106711
View in Google Scholar
[31] D.A. Elmanakhly, M. Saleh, E.A. Rashed, and M. Abdel-Basset, "BinHOA: Efficient Binary Horse Herd Optimization Method for Feature Selection: Analysis and Validations", IEEE Access, vol. 10, pp. 26795-26816, 2022. DOI: https://doi.org/10.1109/ACCESS.2022.3156593
View in Google Scholar
[32] A. Refaat et al., "Extraction of Maximum Power from PV System Based on Horse Herd Optimization MPPT Technique under Various Weather Conditions", Renewable Energy, vol. 220, art. no. 119718, 2024. DOI: https://doi.org/10.1016/j.renene.2023.119718
View in Google Scholar
[33] K. Krueger and J. Heinze, "Horse Sense: Social Status of Horses (Equus Caballus) Affects Their Likelihood of Copying Other Horses’ Behavior", Animal Cognition, vol. 11, pp. 431-439, 2008. DOI: https://doi.org/10.1007/s10071-007-0133-0
View in Google Scholar
[34] F. Bogner, "A Comprehensive Summary of the Scientific Literature on Horse Assisted Education in Germany", Bachelor Thesis, Van Hall Larenstein University, 2011.
View in Google Scholar
[35] P. Stoica and A. Nehorai, "MUSIC, Maximum Likelihood, and Cramer-Rao Bound", IEEE Transactions on Acoustics, Speech, and Signal Processing, vol. 37, pp. 720-741, 1989. DOI: https://doi.org/10.1109/29.17564
View in Google Scholar
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