Thinning Approach based on Sides Lobe Level Reduction in the Linear Array Antenna using Dynamic Differential Evolution
International Journal of Electrical and Electronics Engineering |
© 2023 by SSRG - IJEEE Journal |
Volume 10 Issue 2 |
Year of Publication : 2023 |
Authors : Anitha Suresh, C. Puttamadappa, Manoj Kumar Singh |
How to Cite?
Anitha Suresh, C. Puttamadappa, Manoj Kumar Singh, "Thinning Approach based on Sides Lobe Level Reduction in the Linear Array Antenna using Dynamic Differential Evolution," SSRG International Journal of Electrical and Electronics Engineering, vol. 10, no. 2, pp. 61-74, 2023. Crossref, https://doi.org/10.14445/23488379/IJEEE-V10I2P106
Abstract:
This novel work has considered the problem of minimizing the side lobe level of linear array antenna patterns using the concept of thinning. In comparison to all element arrays, thinning approach activated only a fraction portion of the total available number of array elements at the suitable positions to achieve the objectives. The thinning problem has been transformed into a constrained optimization problem with the objective of minimizing the total number of activated array elements while simultaneously satisfying the desired side lobe and first null beam width. A new approach based on dynamic value assignment of mutation factor in the differential evolution has been proposed, which carries the random value assignment for each component of the differential vector. The proposed dynamic mutation factor assignment helped to explore and converge on a better solution compared to the standard approach. Fundamentally Differential evolution explores the solution over a continuous domain; hence a transformation is needed to convert the solution into the binary domain for thinning. The different existing forms of transformation, including sigmoid function-based S-shaped and V-shaped functions, have been considered under probabilistic and threshold-based binary conversion processes. It has been observed that the proposed form of differential evolution has explored a better solution by rounding the obtained real value to the nearest integer value and later assigning the binary value according to closeness to their binary value limit. For the linear array detail, experimental analysis has given and observed that the proposed solution has outperformed not only other variants of differential evolution but also performed better than particle swarm optimization results available in past literature.
Keywords:
Array antenna, Thinning, Side lobe level, Linear array, Differential evolution.
References:
[1] Keen-Keong Yan, and Yilong Lu, "Sidelobe Reduction in Array-Pattern Synthesis Using Genetic Algorithm," IEEE Transactions on Antennas and Propagation, vol. 45, no. 7, pp. 1117–1122, 1997. Crossref, http://doi.org/10.1109/8.596902
[2] Mohab Abd-Alhameed Mangoud, and H. M. Elragal, "Antenna Array Pattern Synthesis and Wide Null Control Using Enhanced Particle Swarm Optimization," Progress in Electromagnetics Research B, vol. 17, pp. 1–14, 2009. Crossref, http://doi.org/10.2528/PIERB09070205
[3] Narendra Nath Pathak, Banani Basu, and Gautam Kumar Mahanti, "Combination of Inverse Fast Fourier Transform and Modified Particle Swarm Optimization for Synthesis of Thinned Mutually Coupled Linear Array of Parallel Half-Wave Length Dipoles Antennas," Progress in Electromagnetics Research, vol. 16, pp. 105–115, 2011. Crossref, http://doi.org/10.2528/PIERM10101003
[4] Gourab Ghosh Roy et al., "Design of Non-Uniform Circular Antenna Arrays Using a Modified Invasive Weed Optimization Algorithm," IEEE Transactions on Antennas and Propagation, vol. 59, no. 1, pp. 110–118, 2011. Crossref, http://doi.org/10.1109/TAP.2010.2090477
[5] Marco A. Panduro et al., "A Comparison of Genetic Algorithms, Particle Swarm Optimization and the Differential Evolution Method for the Design of Scanable Circular Antenna Arrays," Progress in Electromagnetics Research B, vol. 13, no. 13, pp. 171–186, 2009. Crossref, http://doi.org/10.2528/PIERB09011308
[6] Randy L. Haupt, "Thinned Concentric Ring Array," Proceedings of IEEE Antennas Propagation International Symposium, San Diego, CA, pp. 1–4, 2008. Crossref, http://doi.org/10.1109/APS.2008.4619304
[7] N. Pathak, P. Nanda, and G. K. Mahanti, "Synthesis of Thinned Multiple Concentric Circular Ring Array Antennas Using Particle Swarm Optimization," Journal of Infrared, Millimeter and Terahertz Waves, vol. 30, no. 7, pp. 709–716, 2009. Crossref, https://doi.org/10.1007/s10762-009-9499-1
[8] Priyanka Pateriya, Rakesh Singhai, and Piyush Shukla, "Systematic View of STC for the Communication Systems," SSRG International Journal of Electronics and Communication Engineering, vol. 8, no. 11, pp. 6-14, 2021. Crossref, https://doi.org/10.14445/23488549/IJECE-V8I11P102
[9] R. L. Haupt, "Interleaving Thinned Sum and Difference Linear Arrays," 2006 IEEE Antennas and Propagation Society International Symposium, Albuquerque, NM, pp. 4773-4776, 2006. Crossref, https://doi.org/10.1109/APS.2006.1711708
[10] Yanhui Liu, Zaiping Nie, and Qing Huo Liu, "Reducing the Number of Elements in a Linear Antenna Array by the Matrix Pencil Method," IEEE Transactions on Antennas and Propagation, vol. 56, no. 9, pp. 2955-2962, 2008. Crossref, https://doi.org/10.1109/TAP.2008.928801
[11] Manoj Kumar Singh, "Discovery of Redundant Free Maximum Disjoint Set-K-Covers for WSN Life Enhancement with Evolutionary Ensemble Architecture," Evolutionary Intelligence, pp. 611-630, 2020. Crossref, https://doi.org/10.1007/s12065-020-00374-z
[12] Dan Busuioc, and Safieddin Safavi-Naeini, "Low-cost Antenna Array and Phased Array Architectures — Design Concepts and Prototypes," 2010 IEEE International Symposium on Phased Array Systems and Technology, Waltham, MA, pp. 965-968, 2010. Crossref, https://doi.org/10.1109/ARRAY.2010.5613243
[13] A. H. Hussein et al., "Optimum Design of Linear Antenna Arrays Using a Hybrid MoM/GA Algorithm," IEEE Antennas and Wireless Propagation Letters, vol. 10, pp. 1232-1235, 2011. Crossref, https://doi.org/10.1109/LAWP.2011.2174189
[14] B. Basua, and G.K. Mahanti, "Thinning of Concentric Two-Ring Circular Array Antenna Using Fire Fly Algorithm," Scientia Iranica D, vol. 19, no. 6, pp. 1802-1809, 2012. Crossref, https://doi.org/10.1016/j.scient.2012.06.030
[15] Chung-Yong Chan, and Paul M. Goggans, "Multiobjective Design of Linear Antenna Arrays Using Bayesian Inference Framework," IEEE Transactions on Antennas and Propagation, vol. 62, no. 11, pp. 5524-5530, 2014. Crossref, https://doi.org/10.1109/TAP.2014.2350521
[16] Smita Banerjee, and Ved Vyas Dwivedi, "Linear Antenna Array Synthesis to Reduce the Interference in the Side Lobe Using Continuous Genetic Algorithm," 2015 Fifth International Conference on Advances in Computing and Communications (ICACC), Kochi, pp. 291-296, 2015. Crossref, https://doi.org/10.1109/ICACC.2015.23
[17] Gui Chao Huang et al., "Antenna Array Design and System for Directional Networking," IEEE Antennas and Wireless Propagation Letters, vol. 14, pp. 1141-1144, 2015. Crossref, https://doi.org/10.1109/LAWP.2015.2391199
[18] Shravan Kumar Namdeo, and Dr. Pramendra Tilanthe, "Performance Analysis of Smart Antenna using Particle Swarm Optimization Algorithm," SSRG International Journal of Electronics and Communication Engineering, vol. 2, no. 6, pp. 17-20, 2015. Crossref, https://doi.org/10.14445/23488549/IJECE-V2I6P105
[19] Florin Enache et al., "Multi-Criteria Optimization of Non-Uniform Linear Antenna Array Using Genetic Algorithms," 2016 International Conference on Communications, Bucharest, pp. 121-124, 2016. Crossref, https://doi.org/10.1109/ICComm.2016.7528328
[20] Surendra Kumar Bairwa, Pawan Kumar, and Arpit Kumar Baranwal, "Enhancement of Radiation Pattern for Linear Antenna Array using Flower Pollination Algorithm," 2016 International Conference on Electrical Power and Energy Systems, Bhopal, pp. 1-4, 2016. Crossref, https://doi.org/10.1109/ICEPES.2016.7915896
[21] Geng Sun et al., "Thinning of Concentric Circular Antenna Arrays Using Improved Discrete Cuckoo Search Algorithm," 2017 IEEE Wireless Communications and Networking Conference (WCNC), San Francisco, CA, pp. 1-6, 2017. Crossref, https://doi.org/10.1109/WCNC.2017.7925959
[22] Abdelmadjid Recioui, "Thinning of Concentric Circular Arrays Using Galaxy Based Search Algorithm," 2017 5th International Conference on Electrical Engineering - Boumerdes (ICEE-B), Boumerdes, pp. 1-5, 2017. Crossref, https://doi.org/10.1109/ICEE-B.2017.8192189
[23] Ali Najim Abdullah, and Laith Ali Abdul-Rahaim, "Enhancing the Performance of Localization System for Radio Frequency Transmitters Based on DOA and Triangulation algorithms," International Journal of Engineering Trends and Technology, vol. 69, no. 8, pp. 26-35, 2021. Crossref, https://doi.org/10.14445/22315381/IJETT-V69I8P204
[24] Diego Caratelli et al., "Deterministic Constrained Synthesis Technique for Conformal Aperiodic Linear Antenna Arrays-Part I: Theory," IEEE Transactions on Antennas and Propagation, vol. 67, no. 9, pp. 5951-5961, 2019. Crossref, https://doi.org/10.1109/TAP.2019.2916661
[25] Geng Sun et al., "Radiation Beam Pattern Synthesis of Concentric Circular Antenna Arrays Using Hybrid Approach Based on Cuckoo Search," IEEE Transactions on Antennas and Propagation, vol. 66, no. 9, pp. 4563-4576, 2018. Crossref, https://doi.org/10.1109/TAP.2018.2846771
[26] Krishanu Kundu, and Narendra Nath Pathak, "Circular Antenna Array Optimization Using Flower Pollination Algorithm," Advances in Computer, Communication and Control. Lecture Notes in Networks and Systems, Springer, Singapore, vol. 41, pp. 407-414, 2019. Crossref, https://doi.org/10.1007/978-981-13-3122-0_40
[27] Amiya Kumar Mondal, and Prerna Saxena, "Thinning of Concentric Circular Antenna Array Using Binary Salp Swarm Algorithm," 2019 IEEE Conference on Information and Communication Technology, Allahabad, India, pp. 1-4, 2019. Crossref, https://doi.org/10.1109/CICT48419.2019.9066249
[28] Shruti. R. Danve, Manoj S. Nagmode, and Shankar B. Deosarkar, "Transmit Antenna Selection in Massive MIMO: An Energy-Efficient Approach," International Journal of Engineering Trends and Technology, vol. 70, no. 12, pp. 170-178, 2022. Crossref, https://doi.org/10.14445/22315381/IJETT-V70I12P218
[29] Avishek Das, D. Mandal, and R. Kar, "An Efficient Concentric Circular Antenna Array Synthesis Considering the Mutual Coupling," Proceedings of the 2nd International Conference on Communication, Devices and Computing, Lecture Notes in Electrical Engineering, Springer, Singapore, vol. 602, pp. 45-53, 2020. Crossref, https://doi.org/10.1007/978-981-15-0829-5_5
[30] Tingting Zheng et al., "IWORMLF: Improved Invasive Weed Optimization with Random Mutation and Lévy Flight for Beam Pattern Optimizations of Linear and Circular Antenna Arrays," IEEE Access, vol. 8, pp. 19460-19478, 2020. Crossref, https://doi.org/10.1109/ACCESS
[31] Dr. Thota Vidhyavathi, "Amplitude and Phase Synthesis of Linear Array for Sector Beams using Modified Harmony Search Differential Evolution Algorithm," SSRG International Journal of Electronics and Communication Engineering, vol. 3, no. 8, pp. 20- 27, 2016. Crossref, https://doi.org/10.14445/23488549/IJECE-V3I8P134
[32] R. L. Haupt, "Interleaved Thinned Linear Arrays," IEEE Transactions on Antennas and Propagation, vol. 53, no. 9, pp. 2858-2864, 2005. Crossref, https://doi.org/10.1109/TAP.2005.854522
[33] Nechaev Yuri, and Peshkov Ilia, "Probability of False Peaks Occurring via Circular and Concentric Antenna Arrays DOA Estimation," 2016 39th International Conference on Telecommunications and Signal Processing (TSP), Vienna, pp. 178-181, 2016. Crossref, https://doi.org/10.1109/TSP.2016.7760854
[34] Xiao Luo, Yong-Jian Yang, and Qian-Yu Zhou, "A Firefly-Cuckoo Search Algorithm for Optimizing the Beam Patterns of the Random Antenna Arrays," 2018 4th Annual International Conference on Network and Information Systems for Computers (ICNISC), Wuhan, China, pp. 84-88, 2018. Crossref, https://doi.org/10.1109/ICNISC.2018.00024
[35] Gebrehiwet Gebrekrstos Lema, Dawit Hadush Hailu, and Tekle Brhane Wuneh, "SLL Attenuation-Based Thinned Antenna Design for Next-Generation Communications," EURASIP Journal on Wireless Communications and Networking, vol. 225, 2019. Crossref, https://doi.org/10.1186/s13638-019-1547-5