Hybrid optimisation method of improved genetic algorithm and IFT for linear thinned array

The array thinning technique can greatly reduce the number of the array elements while keeping the performance of the array almost the same. However, the existing algorithms have slow convergence rates and are easy to fall into local optimum. To improve the optimisation performance, a hybrid method based on improved genetic algorithm (GA) and iterative Fourier transform (IFT) technique for linear thinned array is proposed in this study. The population is divided into improved GA group and IFT group according to the convergence of the population and different operations can be done paralleled to generate offspring in each iteration. In the improved GA processing, adaptive crossover rate and mutation rate are used. The mechanism that keeps the fill factor stable is removed for larger search range. The IFT processing is executed paralleled for fast convergence velocity. The proposed hybrid method can obtain the fast convergence velocity and avoid being trapped into the local optimum by the combination of the two approaches. Several examples are simulated to validate the performance of the proposed method.

[1]  P. Bonyhard,et al.  A theory of digital magnetic recording on metallic films , 1966 .

[2]  N.H. Farhat,et al.  Phased-array antenna pattern synthesis by simulated annealing , 1987, Proceedings of the IEEE.

[3]  Randy L. Haupt Thinned arrays using genetic algorithms , 1994 .

[4]  Lalit M. Patnaik,et al.  Adaptive probabilities of crossover and mutation in genetic algorithms , 1994, IEEE Trans. Syst. Man Cybern..

[5]  E. Rajo-Iglesias,et al.  Ant Colony Optimization in Thinned Array Synthesis With Minimum Sidelobe Level , 2006, IEEE Antennas and Wireless Propagation Letters.

[6]  D. Lowther,et al.  Differential Evolution Strategy for Constrained Global Optimization and Application to Practical Engineering Problems , 2006, IEEE Transactions on Magnetics.

[7]  Y. Rahmat-Samii,et al.  Advances in Particle Swarm Optimization for Antenna Designs: Real-Number, Binary, Single-Objective and Multiobjective Implementations , 2007, IEEE Transactions on Antennas and Propagation.

[8]  W. Keizer Linear Array Thinning Using Iterative FFT Techniques , 2008, IEEE Transactions on Antennas and Propagation.

[9]  A.A. Kishk,et al.  Invasive Weed Optimization and its Features in Electromagnetics , 2010, IEEE Transactions on Antennas and Propagation.

[10]  Andrea Massa,et al.  Genetic algorithm (GA)-enhanced almost difference set (ADS)-based approach for array thinning , 2011 .

[11]  Yong-Chang Jiao,et al.  SYNTHESIS OF LARGE PLANAR THINNED ARRAYS USING IWO-IFT ALGORITHM , 2013 .

[12]  Can Cui,et al.  Hybrid Genetic Algorithm and Modified Iterative Fourier Transform Algorithm for Large Thinned Array Synthesis , 2017, IEEE Antennas and Wireless Propagation Letters.