Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm

In this paper, an improved genetic algorithm with dynamic weight vector (IGA-DWV) is proposed for the pattern synthesis of a linear array. To maintain the diversity of the selected solution in each generation, the objective function space is divided by the dynamic weight vector, which is uniformly d...

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Main Author: Bo Yang
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:International Journal of Antennas and Propagation
Online Access:http://dx.doi.org/10.1155/2019/1064103
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author Bo Yang
author_facet Bo Yang
author_sort Bo Yang
collection DOAJ
description In this paper, an improved genetic algorithm with dynamic weight vector (IGA-DWV) is proposed for the pattern synthesis of a linear array. To maintain the diversity of the selected solution in each generation, the objective function space is divided by the dynamic weight vector, which is uniformly distributed on the Pareto front (PF). The individuals closer to the dynamic weight vector can be chosen to the new population. Binary- and real-coded genetic algorithms (GAs) with a mapping method are implemented for different optimization problems. To reduce the computation complexity, the repeat calculation of the fitness function in each generation is replaced by a precomputed discrete cosine transform matrix. By transforming the array pattern synthesis into a multiobjective optimization problem, the conflict among the side lobe level (SLL), directivity, and nulls can be efficiently addressed. The proposed method is compared with real number particle swarm optimization (RNPSO) and quantized particle swarm optimization (QPSO) as applied in the pattern synthesis of a linear thinned array and a digital phased array. The numerical examples show that IGA-DWV can achieve a high performance with a lower SLL and more accurate nulls.
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spelling doaj-art-788a0aa119cd472d87afd2baa8eedeaf2025-02-03T01:01:33ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772019-01-01201910.1155/2019/10641031064103Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic AlgorithmBo Yang0School of Electronic Science and Engineering, Jilin University, 130012 Changchun, ChinaIn this paper, an improved genetic algorithm with dynamic weight vector (IGA-DWV) is proposed for the pattern synthesis of a linear array. To maintain the diversity of the selected solution in each generation, the objective function space is divided by the dynamic weight vector, which is uniformly distributed on the Pareto front (PF). The individuals closer to the dynamic weight vector can be chosen to the new population. Binary- and real-coded genetic algorithms (GAs) with a mapping method are implemented for different optimization problems. To reduce the computation complexity, the repeat calculation of the fitness function in each generation is replaced by a precomputed discrete cosine transform matrix. By transforming the array pattern synthesis into a multiobjective optimization problem, the conflict among the side lobe level (SLL), directivity, and nulls can be efficiently addressed. The proposed method is compared with real number particle swarm optimization (RNPSO) and quantized particle swarm optimization (QPSO) as applied in the pattern synthesis of a linear thinned array and a digital phased array. The numerical examples show that IGA-DWV can achieve a high performance with a lower SLL and more accurate nulls.http://dx.doi.org/10.1155/2019/1064103
spellingShingle Bo Yang
Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm
International Journal of Antennas and Propagation
title Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm
title_full Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm
title_fullStr Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm
title_full_unstemmed Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm
title_short Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm
title_sort multiobjective synthesis of linear arrays by using an improved genetic algorithm
url http://dx.doi.org/10.1155/2019/1064103
work_keys_str_mv AT boyang multiobjectivesynthesisoflineararraysbyusinganimprovedgeneticalgorithm