Phase Control Array Synthesis Using Constrained Accelerated Particle Swarm Optimization

• Main Authors: Taha, Mohammad, Dia Abu Al Nadi
• Format: Text
• Language: English
• Published: Zenodo 2013
• Subjects: Array synthesis; Sidelobe level control; Constrainedoptimization; Accelerated Particle Swarm Optimization.; Buckley; Van Veen; sami
• Online Access: https://dx.doi.org/10.5281/zenodo.1075661; https://zenodo.org/record/1075661

In this paper, the phase control antenna array synthesis is presented. The problem is formulated as a constrained optimization problem that imposes nulls with prescribed level while maintaining the sidelobe at a prescribed level. For efficient use of the algorithm memory, compared to the well known Particle Swarm Optimization (PSO), the Accelerated Particle Swarm Optimization (APSO) is used to estimate the phase parameters of the synthesized array. The objective function is formed using a main objective and set of constraints with penalty factors that measure the violation of each feasible solution in the search space to each constraint. In this case the obtained feasible solution is guaranteed to satisfy all the constraints. Simulation results have shown significant performance increases and a decreased randomness in the parameter search space compared to a single objective conventional particle swarm optimization. : {"references": ["B. D. Van Veen and K. M. Buckley, Beamforming: A versatile approach\nto spatial filtering, IEEE Signal processing magazine, VOL. 5, No. 2, PP. 4-24, 1988", "H. Steyscal, R. A. Shore and R. L. Haupt, Methods for null control and their effects on radiation pattern, IEEE Transactions on Antenna and\nPropagation, VOL. 34, No. 3, PP. 404-409, Mar, 1986", "K. Guney and M. Onay, Amplitude only pattern nulling of linear antenna arrays with use of bees algorithm, Progress in electromagnerics\nresearch, PIER 70, PP. 21-36, 2007", "M. Mouhamadou, P. Armand, P. Vandon and M. Rammal, Interference\nsuppression of the linear array controlled by phase with the use of SQP\nalgorithm, Progress In electromagnetic research, PIER 59, PP. 251-\n256,1997", "D. Karaboga, K. Guney and A. Akdagli, Antenna array pattern nulling\nby controlling both the amplitude and phase using modified touring ant\ncolony optimization algorithm, Int, Journal of electronics, VOL. 91,\nPP.241-251, 2004", "C. Khodier and M. Christodoulou, Linear array geometry synthesis with\nminimum sidelobe level control using particle swarm optimization,\nIEEE Transactions on Antennas and propagation, VOL. 8, NO. 53, PP.\n2674-2679, Aug. 2005", "H. Lebret and S. Boyd: Antenna Array Pattern Synthesis via Convex\nOptimization, IEEE transactions on signal processing, VOL. 45, NO.\n3,pp. 526-532, (1997)", "S. J. Blank and M. F. Hutt : Antenna Array Synthesis Using Derivative,\nNon-Derivative and Random Search Optimization, Sarnoff Symposium,\npp. 1-4 (Apr, 2008)", "J. kennedy and R. C. Eberhart, Particle swarm optimization, Proc. Of\nThe IEEE Int. Conf. on Neural Networks, PP. 1942-1948, Piscataway,\nNJ,1995\n[10] J. Robinson and Y. R. Sami, Particle Swarm Optimization in\nelectromagenetics, IEEE transaction, Antenna and Propagation, VOL. 2,\nNo. 52,PP. 397-407, 2004\n[11] V. Zuniga, A. T. Erdogan and T. Arsalan, Adaptive Radiation Pattern\noptimization for antenna arrays by phase perturbation particle swar\noptimization, NASA/ESA Conf. on adaptive hardware and systems, PP.\n209 - 214, Anaheim, CA, USA, June, 2010\n[12] C. Khodier and M. Christodoulou, Linear array geometry synthesis with\nminimum sidelobe level control using particle swarm optimization,\nIEEE Transactions on Antennas and propagation, VOL. 8, NO. 53, PP.\n2674- 2679, Aug., 2005\n[13] M. Shihab, Y. Najjar, N. Dib and M. Khodier, Design of non uniform\ncircular antenna arrays using particle swarm optimization, Journal of\nelectrical engineering, VOL. 59, NO. 4, PP. 216-220, 2008\n[14] S. Yang, S. Deb, and S. Fong, Accelerated Particle Swarm Optimization\nand Support Vector Machine for Business Optimization and\nApplications, NDT2011, CCIS 136, Springer, PP. 53-66, 2011\n[15] F. Gross, Smart Antennas for Wireless Communications, McGraw-Hill\nProfessional, 1st Ed., 2005\n[16] H. Xiaohui and R. Eberhart, Constrained Nonlinear Optimization\nProblems with Particle Swarm Optimization, 6th World Multiconference\non Systemics, Cybernetics and Informatics (SCI), PP. 203-206, 2002\n[17] Z. Michalewicz and M. Schoenauer, Evolutionary Algorithms for\nConstrained Parameter Optimization Problems, Evolutionary\nComputation, VOL. 4, NO. 1, PP. 1-32, 1996\n[18] A. E. Smith and D. W. Coit, In T. Baek, D. Fogel and Z. Michalewicz\n(Eds.), Hanbook of evolutionary computation, Oxford University Press\nand Institute of physics publishing, Bristol, U.K., Chapter C5.2\n[19] K. Parsopoulos and M. Vrahatis, Particle Swarm Optimization Method\nfor Constrained Optimization Problems, Proceeding of the Euro-\nInternational Symposium on Computational Intelligence , 2002\n[20] S. Pal, A. Basak, S. Das and A. Abraham, Linear Antenna Array\nSynthesis with Invasive Weed Optimization Algorithm, International\nConference of Soft Computing and Pattern Recognition, PP. 161 - 166,\nSOCPAR, Dec., 2009."]}