Linear antenna array synthesis with modified invasive weed optimisation algorithm

Linear antenna array design is one of the most important electromagnetic optimisation problems of current interest. This article describes the application of modified version of a recently developed metaheuristic algorithm, known as the invasive weed optimisation (IWO), to optimise the spacing between the elements of the linear array to produce a radiation pattern with minimum side lobe level and null placement control. IWO is a novel ecologically inspired algorithm that mimics the process of weeds colonisation and distribution and is capable of solving general multi-dimensional, linear and non-linear optimisation problems with appreciable efficiency. For this application, we modified the classical IWO by introducing a more explorative routine of changing the mutation step-size with iterations. Three design examples are presented that illustrate the use of the IWO algorithm, and the optimisation goal in each example is easily achieved. The results of the modified IWO algorithm have been shown to meet or beat the results obtained using other state-of-the-art metaheuristics like the classical IWO, genetic algorithm (GA), particle swarm optimisation (PSO), memetic algorithms (MA), and tabu search (TS) in a statistically meaningful way.

[1]  Giuseppe D'Elia,et al.  Antenna pattern synthesis: a new general approach , 1994, Proc. IEEE.

[2]  L. C. Godara,et al.  Handbook of Antennas in Wireless Communications , 2001 .

[3]  Lakhmi C. Jain,et al.  Linear antenna array optimisation by genetic means , 1999, 1999 Third International Conference on Knowledge-Based Intelligent Information Engineering Systems. Proceedings (Cat. No.99TH8410).

[4]  Andy J. Keane,et al.  Meta-Lamarckian learning in memetic algorithms , 2004, IEEE Transactions on Evolutionary Computation.

[5]  B.D. Van Veen,et al.  Beamforming: a versatile approach to spatial filtering , 1988, IEEE ASSP Magazine.

[6]  Zbigniew Michalewicz,et al.  Handbook of Evolutionary Computation , 1997 .

[7]  Yavuz Cengiz,et al.  Linear Antenna Array Design with Use of Genetic, Memetic and Tabu Search Optimization Algorithms , 2008 .

[8]  C. D. Gelatt,et al.  Optimization by Simulated Annealing , 1983, Science.

[9]  Aghil Yousefi-Koma,et al.  Optimal positioning of piezoelectric actuators on a smart fin using bio-inspired algorithms , 2007 .

[10]  Yu-Bo Tian,et al.  Improve the performance of a linear array by changing the spaces among array elements in terms of genetic algorithm , 2005 .

[11]  Yahya Rahmat-Samii,et al.  Electromagnetic Optimization by Genetic Algorithms , 1999 .

[12]  Fan Yang,et al.  Linear Antenna Array Synthesis Using Taguchi's Method: A Novel Optimization Technique in Electromagnetics , 2007, IEEE Transactions on Antennas and Propagation.

[13]  Caro Lucas,et al.  A novel numerical optimization algorithm inspired from weed colonization , 2006, Ecol. Informatics.

[14]  John H. Holland,et al.  Adaptation in Natural and Artificial Systems: An Introductory Analysis with Applications to Biology, Control, and Artificial Intelligence , 1992 .

[15]  S. Rengarajan,et al.  Genetic algorithms in the design and optimization of antenna array patterns , 1999 .

[16]  Alireza Mallahzadeh,et al.  DESIGN OF AN E-SHAPED MIMO ANTENNA USING IWO ALGORITHM FOR WIRELESS APPLICATION AT 5.8 GHZ , 2009 .

[17]  C. Christodoulou,et al.  Linear array geometry synthesis with minimum sidelobe level and null control using particle swarm optimization , 2005, IEEE Transactions on Antennas and Propagation.

[18]  Jing J. Liang,et al.  Problem Definitions and Evaluation Criteria for the CEC 2005 Special Session on Real-Parameter Optimization , 2005 .

[19]  Jin Xu,et al.  Application of a novel IWO to the design of encoding sequences for DNA computing , 2009, Comput. Math. Appl..

[20]  A. E. Eiben,et al.  Introduction to Evolutionary Computing , 2003, Natural Computing Series.

[21]  Stephen P. Boyd,et al.  Antenna array pattern synthesis via convex optimization , 1997, IEEE Trans. Signal Process..

[22]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.

[23]  Genichi Taguchi,et al.  Taguchi's Quality Engineering Handbook , 2004 .

[24]  A. Mallahzadeh,et al.  Application of the Invasive Weed Optimization Technique for Antenna Configurations , 2008 .

[25]  Alireza Mallahzadeh,et al.  Compact U-array MIMO antenna designs using IWO algorithm , 2009 .

[26]  P. N. Suganthan,et al.  Differential Evolution Algorithm With Strategy Adaptation for Global Numerical Optimization , 2009, IEEE Transactions on Evolutionary Computation.

[27]  Caro Lucas,et al.  A recommender system based on invasive weed optimization algorithm , 2007, 2007 IEEE Congress on Evolutionary Computation.