Linear Array Pattern Synthesis Using An Improved Multiobjective Genetic Algorithm

Multiobjective Synthesis of Linear Arrays by Using an Improved Genetic Algorithm

“…In the -th generation of evolution, one new population is combined by the offspring and the parent. One representative function for the normalized objective function values of the combined population can be calculated by fitting function or interpolation function [24]. The effective weight vector is corresponding to the dynamic reference points uniformly distributed on the representative function.…”

“…The purpose of this paper is the same as that of [24], which is to improve the diversity of solutions of MOP. The three modifications in [24] are dynamic nondomination strategy, scope-constrained strategy, and front uniformly distributed strategy. These three modifications can improve the diversity of solutions and decrease the computational complexity.…”

“…The normalized length of the -th points and the probability of choosing the -th weight can be calculated. The process of IGA-DWV is different from that in [24]. The main contribution in [24] is to uniformly divide the total distance, which is hard to deal with the uneven PF in complex MOP, such as the pattern synthesis of large scale array.…”

“…NSGA-II [9] is a popular and efficient multiobjective genetic algorithm that has been used in several engineering design problems [18,19]. For instance, NSGA-II has been extensively applied 2 International Journal of Antennas and Propagation in the synthesis of antenna arrays [20][21][22][23] and is considered as one of the best evolutionary optimizers for multiobjective problems [7,24]. What can be focused, the simulation results of optimum solutions distributed in the Pareto front (PF) should keep diversity for every fitness.…”

“…Phased arrays are considered to be the best solution in beam scanning and widely used in engineering [7,[15][16][17]20]. With the advance in technology, digital phase shifters are now widely used in phased arrays to provide beam scanning and interference suppression [24]. A modified PSO algorithm called quantized PSO (QPSO) has been described for the synthesis of antenna array patterns with the use of digital phase shifters [15].…”