AUTHORS: Ghada Shaban M., Hanan A. Kamal
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ABSTRACT: Antenna arrays encompass a very vital job in processing and detecting signals received from diverse directions. They are preferred over single element antennas owing to the limitations that exist in the latter in directivity and bandwidth. These limitations are avoided by using the array antennas which associates every element of antenna to different geometrical and electrical configurations to facilitate its beam pattern to be modified with phase and/or amplitude distribution which are called the array weights. The most significant problems to be dealt with in an array antenna design are the control of nulls and the SLL reduction. Lots of researches have used the evolutionary algorithms for obtaining these two objectives. The approaches that were designed for this purpose tackle the objectives simultaneously by creating single objective functions and then taking weighted sum for the objective functions. In this paper, to evade the problems associated with the use of the weighted sum approach, a MO formulation of the problem and a recent approach called Roulette Wheel Multi-objective Particle Swarm Optimization are used. The goal is to obtain the “least standard side lobe level” and a “null reduce” at specific directions. These two goals are contradicting that’s why using the multiobjective optimization is suitable for solving this problem. To test the performance level of the applied method of the multi-objective approach, it is very important to get Pareto optimal which is the way of solving the multi-objective problems. In this paper, the MOPSO is introduced to obtain the Pareto optimal fronts for the two contradicting objectives to show the effectiveness of planned algorithm showing effective results. Improved results for reduced SLLs and null depth are obtained.
KEYWORDS: PSO, MOPSO, SLL, Null reduction, RP, Roulette Wheel Selection
REFERENCES:
[1] Chandran, Sathish, ed. “Adaptive antenna arrays: trends and applications”. Springer Science & Business Media, 2013.
[2] Goudos, Sotirios K., et al. 'Application of a comprehensive learning particle swarm optimizer to unequally spaced linear array synthesis with sidelobe level suppression and null control.' IEEE antennas and wireless propagation letters 9 (2010): 125-129.
[3] Dib, Nihad I., Sotirios K. Goudos, and Hani Muhsen. 'Application of Taguchi's optimization method and self-adaptive differential evolution to the synthesis of linear antenna arrays.' Progress In Electromagnetics Research102 (2010): 159-180.
[4] Mandal, Durbadal, Sakti Prasad Ghoshal, and Anup Kumar Bhattacharjee. 'Application of evolutionary optimization techniques for finding the optimal set of concentric circular antenna array.' Expert Systems with Applications38.4 (2011): 2942-2950.
[5] Rocca, Paolo, Randy L. Haupt, and Andrea Massa. 'Sidelobe reduction through element phase control in uniform subarrayed array antennas.' IEEE Antennas and Wireless Propagation Letters 8 (2009): 437-440.
[6] Mandal, Durbadal, et al. 'Wide null control of linear antenna arrays using particle swarm optimization.' 2010 Annual IEEE India Conference (INDICON). IEEE, 2010.
[7] Guney, Kerim, and Suad Basbug. 'Interference suppression of linear antenna arrays by amplitude-only control using a bacterial foraging algorithm.' Progress In Electromagnetics Research 79 (2008): 475-497
[8] Guney, Kerim, and Murat Onay. 'Bees algorithm for interference suppression of linear antenna arrays by controlling the phase-only and both the amplitude and phase.' Expert systems with Applications 37.4 (2010): 3129-3135.
[9] Li, Hui, and Qingfu Zhang. 'Multiobjective optimization problems with complicated Pareto sets, MOEA/D and NSGA-II.' IEEE Transactions on Evolutionary Computation 13.2 (2009): 284-302
[10] Constantine A. Balanis , Antenna Theory Analysis and Design, 4th Ed. (2016).
[11] Wang, Xucun, Yiguo Zhou, and Yanfei Wang. 'An improved antenna array pattern synthesis method using fast fourier transforms.' International Journal of Antennas and Propagation 2015 (2015).
[12] Goswami, Bipul, and Durbadal Mandal. 'Introducing deeper nulls and reduction of Side Lobe Levels in a symmetric linear antenna array using genetic algorithm.' Recent Advances in Information Technology (RAIT), 2012 1st International Conference on. IEEE, 2012.
[13] Laseetha, TS Jeyali, and R. Sukanesh. 'Synthesis of linear antenna array using genetic algorithm to maximize sidelobe level reduction.' International Journal of Computer Applications 20.7 (2011).
[14] Suman, Balram, and Prabhat Kumar. 'A survey of simulated annealing as a tool for single and multiobjective optimization.' Journal of the operational research society 57.10 (2006): 1143-1160
[15] Ho, S. L., and Shiyou Yang. 'Multiobjective synthesis of antenna arrays using a vector tabu search algorithm.' IEEE Antennas and Wireless Propagation Letters 8 (2009): 947-950.
[16] Hsu, Chao‐Hsing, and W en‐ Jye Shyr. 'Adaptive pattern nulling design of linear array antenna by phase ‐only perturbations using memetic algorithms.' Communications in Numerical Methods in Engineering 24.11 (2008): 1121-1133.
[17] Mandal, Durbadal, Sakti Prasad Ghoshal, and Anup Kumar Bhattacharjee. 'Design of concentric circular antenna array with central element feeding using particle swarm optimization with constriction factor and inertia weight approach and evolutionary programing technique.' Journal of Infrared, Millimeter, and Terahertz Waves 31.6 (2010): 667-680.
[18] Miettinen, Kaisa. Nonlinear multiobjective optimization. Vol. 12. Springer Science & Business Media, 2012.
[19] Ghada Shaban M., H. A. Mohamed, Hanan Kamal. “ Improved Adaptive Particle Swarm Optimization for Wide Null Steering of a Linear Phased Array antenna” International Journal of Scientific & Engineering Research, Volume 7, Issue 2 (2016) :1152-1160.
[20] Moslehi, Ghasem, and Mehdi Mahnam. 'A Pareto approach to multi-objective flexible jobshop scheduling problem using particle swarm optimization and local search.' International Journal of Production Economics 129.1 (2011): 14-22.
[21] Yang, Rui, and Lingfeng Wang. 'Multiobjective optimization for decision-making of energy and comfort management in building automation and control.' Sustainable Cities and Society 2.1 (2012): 1-7.
[22] Omkar, S. N., et al. 'Vector evaluated particle swarm optimization (VEPSO) for multiobjective design optimization of composite structures.' Computers & structures 86.1 (2008): 1-14.
[23] Guliashki, Vassil, Hristo Toshev, and Chavdar Korsemov. 'Survey of evolutionary algorithms used in multiobjective optimization.' Problems of engineering cybernetics and robotics 60.1 (2009): 42-54.
[24] Daneshyari, Moayed, and Gary G. Yen. 'Cultural-based multiobjective particle swarm optimization.' IEEE Transactions on Systems, Man, and Cybernetics, Part B (Cybernetics) 41.2 (2011): 553-567.
[25] Abido, Mohammad Ali. 'Multiobjective particle swarm optimization with nondominated local and global sets.' Natural Computing 9.3 (2010): 747-766.
[26] Zheng, Xiangwei, and Hong Liu. 'A hybrid vertical mutation and self-adaptation based MOPSO.' Computers & Mathematics with Applications57.11 (2009): 2030-2038.
[27] Knight, Joshua T., David J. Singer, and Matthew D. Collette. 'Testing of a spreading mechanism to promote diversity in multiobjective particle swarm optimization.' Optimization and Engineering 16.2 (2015): 279-302.
[28] Panduro, Marco A., et al. 'A comparison of genetic algorithms, particle swarm optimization and the differential evolution method for the design of scannable circular antenna arrays.' Progress In Electromagnetics Research B 13 (2009): 171-186.
[29] Panduro, Marco A., et al. 'A comparison of genetic algorithms, particle swarm optimization and the differential evolution method for the design of scannable circular antenna arrays.' Progress In Electromagnetics Research B 13 (2009): 171-186.
[30] Pal, Siddharth, et al. 'Linear antenna array synthesis with constrained multi-objective differential evolution.' Progress In Electromagnetics Research B21 (2010): 87-111.
[31] https://en.wikipedia.org/wiki/Fitness_propor tionate_selection.
