Abstract
In this paper, the problem of designing linear and elliptical antenna arrays for specific radiation properties is dealt with. The biogeography-based optimization (BBO) method, which represents a new evolutionary algorithm, is used in the optimization process. BBO is used to minimize the maximum side lobe level (SLL) and null control for isotropic linear antenna arrays by optimizing different array parameters (position, amplitude, and phase). Similarly, for elliptical antenna array, four optimization techniques (BBO, genetic algorithm, self-adaptive differential evolution, and sequential quadratic programming) are used to determine an optimum set of weights that provide a radiation pattern with maximum SLL reduction with the constraint of a fixed major lobe beam width. The obtained results show the effectiveness of BBO compared to other well-known optimization methods.
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References
Balanis C.A.: Antenna Theory: Analysis and Design. Wiley, New York (1997)
Oliveri G., Poli L.: Synthesis of monopulse sub-arrayed linear and planar array antennas with optimized sidelobes. Prog. Electromagn. Res. 99, 109–129 (2009)
Perez Lopez J.R., Basterrechea J.: Hybrid particle swarm-based algorithms and their application to linear array synthesis. Prog. Electromagn. Res. 90, 63–74 (2009)
Li, W.T.; Shi, X.W.; Hei, Y.Q: An improved particle swarm optimization algorithm for pattern synthesis of phased arrays. Prog. Electromagn. Res. 82, 319–332 (2008)
Zainud-Deen, S.; Mady, E.; Awadalla, K.; Harsher, H:. Controlled radiation pattern of circular antenna array. IEEE Antennas Propag. Symp. 3399–3402 (2006)
Pesik, L.; Paul, D.; Railton, C.; Hilton, G.; Beach, M.: FDTD technique for modeling eight element circular antenna array. Electron. Lett. 42(12), 787–788 (2006)
Mahler, W.; Landstorfer, F.: Design and optimization of an antenna array for WiMAX base stations. In: IEEE/ACES International Conference on Wireless Communications and Applied Computational Electromagnetics, pp. 1006–1009 (2005)
Al-Aqil, M.: Synthesis of Antenna Arrays Using the Particle Swarm Optimization Method. Master Thesis, Jordan University of Science and Technology (2009)
Dib, N.; Goudos, S.; Muhsen, H.: Application of Taguchi’s optimization method and self-adaptive differential evolution to the synthesis of linear antenna arrays. Prog. Electromagn. Res. 102, 159–180 (2010)
Panduro, M.; Mendez, A.; Dominguez, R.; Romero, G.: Design of non-uniform circular antenna arrays for side lobe reduction using the method of genetic algorithms. Int. J. Electron. Commun. (AEU) 60, 713–717 (2006)
Shihab, M.; Najjar, Y.; Dib, N.; Khodier, M.: Design of nonuniform circular antenna arrays using particle swarm optimization. J. Electr. Eng. 59(4), 216–220 (2008)
Al-Kubati, G.: Central Force Optimization Method and its Application to the Design of Antennas. Master Thesis, Jordan University of Science and Technology (2009)
Simon, D.: Biogeography-based optimization. IEEE Trans. Evol. Comput. 12(6), 702–713 (2008)
Simon, D.; Ergezer, M.; Du, D.; Rarick, R.: Markov models for biogeography-based optimization. IEEE Trans. Syst. Man Cybern. Part B Cybern. 41(1), 299–306 (2011)
Simon, D.; Rarick, R.; Ergezer, M.; Du, D.: Analytical and numerical comparisons of biogeography-based optimization and genetic algorithms. Inf. Sci. 181(7), 1224–1248 (2011)
Roy, P.; Ghoshal, S.; Thakur, S.: Biogeography based optimization for multi-constraint optimal power flow with emission and non-smooth cost function. Expert Syst. Appl. 37(12), 8221–8228 (2010)
Bhattacharya, A.; Chattopadhyay, P.: Hybrid differential evolution with biogeography based optimization for solution of economic load dispatch. IEEE Trans. Power Syst. 25(4), 1955–1964 (2010)
Singh, U.; Singla, H.; Kamal, T.: Design of Yagi-Uda antenna using biogeography based optimization. IEEE Trans. Antennas Propag. 58(9), 3375–3379 (2010)
Singh, U.; Kumar, H.; Kamal, T.S.: Linear array synthesis using biogeography based optimization. Prog. Electromagn. Res. 11, 25–36 (2010)
Sharaqa, A.; Dib, N.: Design of linear and circular antenna arrays using biogeography based optimization. In: IEEE Jordan Conference on Applied Electrical Engineering and Computing Technologies (AEECT), 2011 (2011)
Singh, U.; Kamal, T.S.: Design of non-uniform circular antenna arrays using biogeography-based optimisation. Microwav. Antennas Propag. IET 5(10), 1365–1370 (2011)
Dib, N.; Sharaqa, A.: On the optimal design of non-uniform circular antenna arrays. J. Appl. Electromagn. 14(1), 42–59 (2012)
Lohokare, M.; Pattnaik, S.; Devi, S.; Panigrahi, B.; Bakwad, K.; Joshi, J.: Modified BBO and calculation of resonant frequency of circular microstrip antenna. In: World Congress on Nature & Biologically Inspired Computing, pp. 487–492 (2009)
Lohokare, M.; Pattnaik, S.; Devi, S.; Bakwad, K.; Joshi, J.: Parameter calculation of rectangular microstrip antenna using biogeography-based optimization. In: Applied Electromagnetics Conference (AEMC), 2009, Kolkata (2009)
Simon, D.: Biogeography based optimization. http://embeddedlab.csuohio.edu/BBO/ (2008)
Wallace, A.: The Geographical Distribution of Animals (Two Volumes). Adamant Media Corporation, Boston (2005)
Darwin, C.: The Origin of Species. Gramercy, New York (1995)
MacArthur, R.; Wilson, E.: The Theory of Biogeography. Princeton Univ. Press, Princeton (1967)
Jain, A.K.; Mao, J.; Mohiuddin, K.M.: Artificial neural networks: a tutorial. IEEE Comput. 29(3), 31–44 (1996)
Goldberg, D.E.: Genetic Algorithms in Search, Optimization and Machine Learning. Addison Wesly, Reading (1997)
Neyestanak, A.; Ghiamy, M.; Moghaddasi, M.; Saadeghzadeh, R.: An investigation of hybrid elliptical antenna arrays. IET Microw Antennas Propag. 2(1), 28–34 (2008)
Saadeghzadeh R., Neyestanak A., Moghaddasi M., Ghiamy M.: A comparison of various hybrid elliptical antenna arrays. Iran. J. Electr. Comput. Eng. 7(2), 98–106 (2008)
Ahmidi, N.; Neyestanak, A.; Dawes, R.: Elliptical array antenna design based on particle swarm method using fuzzy decision rules. In: 24th Biennial Symposium on Communications, Kingston, ON, pp. 352–355 (2008)
Tvrdik, J.; Pavliska, V.; Habiballa, H.: Stochastic self-adaptive algorithms for global optimization—MATLAB and C++ library. http://www1.osu.cz/home/habibal/optimization/index.html (2008)
PDF Documents of optimization Toolbox of Matlab 7.13. (2011). http://www.mathworks.com/
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Sharaqa, A., Dib, N. Design of Linear and Elliptical Antenna Arrays Using Biogeography Based Optimization. Arab J Sci Eng 39, 2929–2939 (2014). https://doi.org/10.1007/s13369-013-0794-8
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DOI: https://doi.org/10.1007/s13369-013-0794-8