Vol. 54
Latest Volume
All Volumes
PIERB 106 [2024] PIERB 105 [2024] PIERB 104 [2024] PIERB 103 [2023] PIERB 102 [2023] PIERB 101 [2023] PIERB 100 [2023] PIERB 99 [2023] PIERB 98 [2023] PIERB 97 [2022] PIERB 96 [2022] PIERB 95 [2022] PIERB 94 [2021] PIERB 93 [2021] PIERB 92 [2021] PIERB 91 [2021] PIERB 90 [2021] PIERB 89 [2020] PIERB 88 [2020] PIERB 87 [2020] PIERB 86 [2020] PIERB 85 [2019] PIERB 84 [2019] PIERB 83 [2019] PIERB 82 [2018] PIERB 81 [2018] PIERB 80 [2018] PIERB 79 [2017] PIERB 78 [2017] PIERB 77 [2017] PIERB 76 [2017] PIERB 75 [2017] PIERB 74 [2017] PIERB 73 [2017] PIERB 72 [2017] PIERB 71 [2016] PIERB 70 [2016] PIERB 69 [2016] PIERB 68 [2016] PIERB 67 [2016] PIERB 66 [2016] PIERB 65 [2016] PIERB 64 [2015] PIERB 63 [2015] PIERB 62 [2015] PIERB 61 [2014] PIERB 60 [2014] PIERB 59 [2014] PIERB 58 [2014] PIERB 57 [2014] PIERB 56 [2013] PIERB 55 [2013] PIERB 54 [2013] PIERB 53 [2013] PIERB 52 [2013] PIERB 51 [2013] PIERB 50 [2013] PIERB 49 [2013] PIERB 48 [2013] PIERB 47 [2013] PIERB 46 [2013] PIERB 45 [2012] PIERB 44 [2012] PIERB 43 [2012] PIERB 42 [2012] PIERB 41 [2012] PIERB 40 [2012] PIERB 39 [2012] PIERB 38 [2012] PIERB 37 [2012] PIERB 36 [2012] PIERB 35 [2011] PIERB 34 [2011] PIERB 33 [2011] PIERB 32 [2011] PIERB 31 [2011] PIERB 30 [2011] PIERB 29 [2011] PIERB 28 [2011] PIERB 27 [2011] PIERB 26 [2010] PIERB 25 [2010] PIERB 24 [2010] PIERB 23 [2010] PIERB 22 [2010] PIERB 21 [2010] PIERB 20 [2010] PIERB 19 [2010] PIERB 18 [2009] PIERB 17 [2009] PIERB 16 [2009] PIERB 15 [2009] PIERB 14 [2009] PIERB 13 [2009] PIERB 12 [2009] PIERB 11 [2009] PIERB 10 [2008] PIERB 9 [2008] PIERB 8 [2008] PIERB 7 [2008] PIERB 6 [2008] PIERB 5 [2008] PIERB 4 [2008] PIERB 3 [2008] PIERB 2 [2008] PIERB 1 [2008]
2013-09-21
Modified Bayesian Optimization Algorithm for Sparse Linear Antenna Design
By
Progress In Electromagnetics Research B, Vol. 54, 385-405, 2013
Abstract
In this paper, a modified Bayesian Optimization Algorithm (BOA), named M-BOA, is proposed to introduce a suitable mutation scheme for the traditional procedure in order to speed up the convergence of the algorithm and to avoid it to be trapped in local minima or to stagnate in suboptimal solutions. The proposed algorithm has been applied both to a specific mathematical test function and to sparse linear antenna arrays design, showing outperforming capabilities not only with respect to the standard BOA, but also with respect to other assessed global optimization methods.
Citation
Bui Van Ha, Paola Pirinoli, Riccardo Enrico Zich, Marco Mussetta, and Francesco Grimaccia, "Modified Bayesian Optimization Algorithm for Sparse Linear Antenna Design," Progress In Electromagnetics Research B, Vol. 54, 385-405, 2013.
doi:10.2528/PIERB12091806
References

1. Goldberg, D. E., "Genetic Algorithms in Search, Optimization and Machine Learning," Addison-Wiley, 1989.

2. Kennedy, J. and R. C. Eberhart, Swarm Intelligence, Morgan Kaufmann, San Francisco, CA, 2001.

3. Dorigo, M., V. Maniezzo, and A. Colorni, "The ant system: Optimization by a colony of cooperating agents," IEEE Trans. Syst., Man., Cybern. B, Vol. 26, No. 2, 29-41, 1996.
doi:10.1109/3477.484436

4. Selleri, S., M. Mussetta, P. Pirinoli, R. E. Zich, and M. Matekovits, Differentiated Meta-PSO method for array optimization, Vol. 56, No. 1, 67-75, IEEE Trans. Antennas Prop., Jan. 2008.

5. Ong, Y. S. and A. J. Kean, "Meta-Lamarckian learning in memetic algorithms," IEEE Trans. Evol. Comput., Vol. 8, No. 2, 99-110, Apr. 2004.
doi:10.1109/TEVC.2003.819944

6. Basak, A., S. Pal, S. Das, A. Abraham, and V. Snasel, "A modified invasive weed optimization algorithm for time-modulated linear antenna array synthesis," Proc. of IEEE Congress on Evol. Comput. (CEC), 1-8, Barcelona, Spain, Jul. 18-23, 2010.

7. Simon, D., "Biogeography-based optimization," IEEE Trans. Evol. Comput., Vol. 12, No. 6, 702-713, Dec. 2008.
doi:10.1109/TEVC.2008.919004

8. Grimaccia, F., M. Mussetta, and R. E. Zich, "Genetic swarm optimization: Self adaptive hybrid evolutionary algorithm for electromagnetics," IEEE Trans. Antennas Prop., Vol. 55, No. 3, 781-785, Mar. 2007.
doi:10.1109/TAP.2007.891561

9. Lee, Y. H., B. J. Cahill, S. J. Porter, and A. C. Marvin, "Novel evolutionary learning technique for multi-objective array antenna optimization," Progress In Electromagnetics Research, Vol. 48, 125-144, 2004.
doi:10.2528/PIER04012202

10. Perez-Lopez, J. R. and J. Basterrechea, "Hybrid particle swarm-based algorithms and their application to linear array synthesis," Progress In Electromagnetics Research, Vol. 90, 63-74, 2009.
doi:10.2528/PIER08122212

11. MÄuhlenbein, H. and G. Paab, "From recombination of genes to the estimation of distributions. I. Binary parameters," Parallel Problem Solving from Nature, Vol. 1141, 178-187, 1996.

12. Pelikan, M., D. E. Goldberg, and E. Cant-Paz, "BOA: The Bayesian optimization algorithm," Proc. of Genetics and Evol. Comput. Conf., GECCO-99, 525-532, Orlando, Florida, USA, Jul. 13-17, 1999.

13. Pelikan, M., Hierarchical Bayesian Optimization Algorithm: Toward a New Generation of Evolutionary Algorithms, Springer, 2005.

14. Ha, B. V., M. Mussetta, P. Pirinoli, and R. E. Zich, "Modified Bayesian optimization algorithm for microstrip filter design," Proc. of IEEE AP-S 2012 Conf., 1-2, Chicago, Illinois, USA, Jul. 8-14, 2012.

15. Yan, K. K. and Y. Lu, "Sidelobe reduction in array-pattern synthesis using genetic algorithm," IEEE Trans. Antennas Prop., Vol. 45, No. 7, 1117-1122, Jul. 1997.

16. Ares-Pena, F. J., A. Rodriguez-Gonzalez, E. Villanueva-Lopez, and S. R. Rengarjan, "Genetic algorithms in the design and optimization of antenna array patterns," IEEE Trans. Antennas Prop., Vol. 47, No. 3, 506-510, 1999.
doi:10.1109/8.768786

17. Donelli, M., S. Caorsi, F. D. Natale, G. Franceschini, and A. Massa, "A versatile enhanced genetic algorithm for planar array design," Journal of Electromagnetic Waves and Applications, Vol. 18, No. 11, 1533-1548, 2004.
doi:10.1163/1569393042954893

18. Boeringer, D. W., D. H. Werner, and D. W. Machuga, "A simultaneous parameter adaptation scheme for genetic algorithms with application to phased array synthesis," IEEE Trans. Antennas Prop., Vol. 53, No. 1, 356-371, Jan. 2005.
doi:10.1109/TAP.2004.838800

19. Khodier, M. M. and C. G. Christodoulou, "Linear array geometry synthesis with minimum sidelobe level and null control using particle swarm optimization," IEEE Trans. Antennas Prop., Vol. 53, No. 8, 2674-2679, Aug. 2005.
doi:10.1109/TAP.2005.851762

20. Donelli, M., R. Azaro, L. Fimognari, and A. Massa, "A planar electronically reconfigurable Wi-Fi band antenna based on parasitic microstrip structures," IEEE Antennas and Wireless Prop. Letters, Vol. 6, 623-626, 2007.
doi:10.1109/LAWP.2007.913274

21. Gies, D. and Y. Rahmat-Samii, "Particle swarm optimization for reconfigurable phase-differentiated array design," Microw. Opt. Tech. Lett., Vol. 38, No. 3, 168-175, Aug. 2003.
doi:10.1002/mop.11005

22. Chung, W. W., F. Yang, and A. Z. Elsherbeni, "Linear antenna array synthesis using Taguchi's method: A novel optimization technique in electromagnetics," IEEE Trans. Antennas Prop., Vol. 55, No. 3, 723-730, Mar. 2007.
doi:10.1109/TAP.2007.891548

23. Liu, Y., Z. Nie, and Q. H. Liu, "Reducing the number of elements in a linear antenna array by the matrix pencil method," IEEE Trans. Antennas Prop., Vol. 56, No. 9, 2955-2962, 2008.
doi:10.1109/TAP.2008.928801

24. Liu, Y., Q. H. Liu, and Z. Nie, "Reducing the number of elements in the synthesis of shaped-beam patterns by forward-backward matrix pencil method," IEEE Trans. Antennas Prop., Vol. 58, No. 2, 604-608, Feb. 2010.
doi:10.1109/TAP.2009.2037709

25. Zhang, W., L. Li, and F. Li, "Reducing the number of elements in linear and planar antenna arrays with sparseness constrained optimization," IEEE Trans. Antennas Prop., Vol. 59, No. 8, 3106-3111, Aug. 2011.
doi:10.1109/TAP.2011.2158943

26. Chan, C.-Y. and P. M. Goggans, "Using bayesian inference for linear antenna array design," IEEE Trans. Antennas Prop., Vol. 59, No. 9, 3211-3217, Sep. 2011.
doi:10.1109/TAP.2011.2161437

27. Pearl, J., "Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference," Morgan Kaufmann, 1988.

28. Heckerman, D., D. Geiger, and D. M. Chickering, "Learning Bayesian networks: The combination of knowledge and statistical data,", Technical Report MSR-TR-94-09, Microsoft Research, Redmond, WA, 1994.

29. Baluja, S., "Population based incremental learning: A method or integrating genetic search based function optimization and competitive learning,", Technical Report No. CMUCS-94-163, Carnegie Mellon University, Pittsburgh, PA, 1994.

30. Harik, , G. R., F. G. Lobo, and D. E. Goldberg, "The compact genetic algorithm," IEEE Trans. Evol. Comput., Vol. 3, No. 4, 287-297, Nov. 1999.
doi:10.1109/4235.797971