volume | PIER Journals

Abstract

Synthesizing large arrays composed of irregular clustered subarrays is a research approach of increasing attention from researchers. In this article, an irregular clustered subarray tiling strategy based on different polygonal shapes as a mask partitioning with a convex optimization algorithm (COA) is proposed. A set of polygon partitioning was proposed by formulating a problem of tiling an array of irregular subarrays to make it suitable for any aperture grid. To further reduce the complexity of the systems and accelerate the execution time of the responsible algorithm, amplitude-only feeding was considered. In all proposed partitioning scenarios, only 16 polygonal clusters (i.e., complexity of 1.7%) were synthesized, achieving high-constrained radiation performance targets of reducing sidelobe level (SLL) to -45 dB and generating a 6-degree wide and -180 dB deep null steering with the ability to orient the main beam as required. Polygonal clusters of varying sizes, shapes, and side counts were synthesized, ranging from a 3-sided polygon (i.e., a triangle) to a 10-sided polygon (i.e., a decagon). Based on this, six polygonal segmentation configurations were proposed, resulting in a high-performance electromagnetic beam pattern (BP). Computer simulation results demonstrated the robustness and effectiveness of the proposed scenarios in meeting the performance constraints imposed on the optimization algorithm. The good performance and potential inherent in the methods presented in this paper were verified by comparing them extensively with current methods in various numerical examples.

1. Dong, Wei, Zhen-Hai Xu, Xing-Hua Liu, Luo-Sheng-Bin Wang, and Shun-Ping Xiao, "Modular subarrayed phased-array design by means of iterative convex relaxation optimization," IEEE Antennas and Wireless Propagation Letters, Vol. 18, No. 3, 447-451, 2019.
doi:10.1109/lawp.2019.2893946 Google Scholar

2. Chen, Ji-Yuan, Zhen-Hai Xu, and Shun-Ping Xiao, "Optimal subarray design method for sidelobe cancellation of wideband irregular subarrayed array," IEEE Antennas and Wireless Propagation Letters, Vol. 22, No. 12, 2793-2797, 2023.
doi:10.1109/lawp.2023.3297799 Google Scholar

3. Wang, Xiangrong, Elias Aboutanios, Matthew Trinkle, and Moeness G. Amin, "Reconfigurable adaptive array beamforming by antenna selection," IEEE Transactions on Signal Processing, Vol. 62, No. 9, 2385-2396, 2014.
doi:10.1109/tsp.2014.2312332 Google Scholar

4. Elayaperumal, S. and K. V. S. Hari, "Optimal irregular subarray design for adaptive jammer suppression in phased array radar," 2019 IEEE International Symposium on Phased Array System & Technology (PAST), 1-7, Waltham, MA, USA, 2019.
doi:10.1109/PAST43306.2019.9021033

5. Abdulqader, Ahmed Jameel, Jafar Ramadhan Mohammed, and Yaser Ahmed Ali, "A T-shaped polyomino subarray design method for controlling sidelobe level," Progress In Electromagnetics Research C, Vol. 126, 243-251, 2022.
doi:10.2528/pierc22080803 Google Scholar

6. Pan, Xiaoyi, Jiyuan Chen, Zhaoyu Gu, and Zhenhai Xu, "Wideband irregular subarrayed array structure optimization based on adaptive differential search for improved interference suppression," IEEE Transactions on Aerospace and Electronic Systems, Vol. 61, No. 5, 15138-15146, 2025.
doi:10.1109/taes.2025.3585814 Google Scholar

7. Abdulqader, Ahmed Jameel, "Low complexity irregular clusters tiling through quarter region rotational symmetry," Progress In Electromagnetics Research C, Vol. 137, 81-92, 2023.
doi:10.2528/pierc23040604 Google Scholar

8. Gwee, B.-H. and M.-H. Lim, "Polyominoes tiling by a genetic algorithm," Computational Optimization and Applications, Vol. 6, No. 3, 273-291, 1996.
doi:10.1007/bf00247795 Google Scholar

9. Abdulqader, Ahmed Jameel, "Different 2D and 3D mask constraints synthesis for large array pattern shaping," International Journal of Microwave and Wireless Technologies, Vol. 16, No. 4, 579-587, 2024.
doi:10.1017/s1759078723001198 Google Scholar

10. Lebret, H. and S. Boyd, "Antenna array pattern synthesis via convex optimization," IEEE Transactions on Signal Processing, Vol. 45, No. 3, 526-532, 1997.
doi:10.1109/78.558465 Google Scholar

11. Rocca, P., R. J. Mailloux, and G. Toso, "GA-based optimization of irregular subarray layouts for wideband phased arrays design," IEEE Antennas and Wireless Propagation Letters, Vol. 14, 131-134, 2015.
doi:10.1109/lawp.2014.2356855 Google Scholar

12. Oliveri, Giacomo, Marco Salucci, and Andrea Massa, "Synthesis of modular contiguously clustered linear arrays through a sparseness-regularized solver," IEEE Transactions on Antennas and Propagation, Vol. 64, No. 10, 4277-4287, 2016.
doi:10.1109/tap.2016.2595623 Google Scholar

13. Anselmi, Nicola, Paolo Rocca, Marco Salucci, and Andrea Massa, "Irregular phased array tiling by means of analytic schemata-driven optimization," IEEE Transactions on Antennas and Propagation, Vol. 65, No. 9, 4495-4510, 2017.
doi:10.1109/tap.2017.2722539 Google Scholar

14. Xiong, Zi-Yuan, Zhen-Hai Xu, Si-Wei Chen, and Shun-Ping Xiao, "Subarray partition in array antenna based on the algorithm X," IEEE Antennas and Wireless Propagation Letters, Vol. 12, 906-909, 2013.
doi:10.1109/lawp.2013.2272793 Google Scholar

15. Zhou, Jian, Yiqing Wang, Zhanling Wang, Chen Pang, Yongzhen Li, and Xuesong Wang, "Irregular subarray tiling via rotational symmetry," IEEE Antennas and Wireless Propagation Letters, Vol. 22, No. 4, 903-907, 2023.
doi:10.1109/lawp.2022.3228108 Google Scholar

16. Chen, Jiyuan, Zhen-Hai Xu, and Shunping Xiao, "Irregular subarray design strategy based on weighted L1 norm iterative convex optimization," IEEE Antennas and Wireless Propagation Letters, Vol. 21, No. 2, 376-380, 2022.
doi:10.1109/lawp.2021.3132001 Google Scholar

17. Zhao, Xiaowen, Qingshan Yang, and Yunhua Zhang, "Synthesis of minimally subarrayed linear arrays via compressed sensing method," IEEE Antennas and Wireless Propagation Letters, Vol. 18, No. 3, 487-491, 2019.
doi:10.1109/lawp.2019.2894826 Google Scholar

18. Dong, Wei, Zhen-Hai Xu, Xing-Hua Liu, Luo-Sheng-Bin Wang, and Shun-Ping Xiao, "Irregular subarray tiling via heuristic iterative convex relaxation programming," IEEE Transactions on Antennas and Propagation, Vol. 68, No. 4, 2842-2852, 2020.
doi:10.1109/tap.2019.2955070 Google Scholar

Dr. Randa Yahya Hussein

Dr. Ahmed Jameel Abdulqader