Array Pattern Synthesis Using a Hybrid Differential Evolution and Analytic Algorithm

Rui Li,Jianxiao Wang,Yuanming Cai,Yong Yang,Xiaoqun Chen,Xiaoning Yang,Le Xu,Feng Wei

doi:10.3390/electronics10182227

Abstract

In this paper, a hybrid differential evolution and weight total least squares method (HDE-WTLSM) is proposed for antenna array pattern synthesis. A variable diagonal weight matrix is introduced in total least squares method. Then, the weight matrix is optimized by differential evolution (DE) algorithm to control the differences of the desired level and the obtained level in different directions. This algorithm combines the advantages of evolutionary algorithm and numerical algorithm, so it has a wider application range and faster convergence speed. To compare HDE-WTLSM with DE algorithm and typical numerical algorithms, these methods are applied to a linear antenna array and a conformal truncated conical array. Using our method, lower sidelobe levels and deeper nulls are obtained. The simulation results verify the validity and efficiently of HDE-WTLSM.

Highlights

Due to the applications in radar and communication systems, antenna array pattern synthesis has attracted attention over the last several decades
sidelobe level (SLL) denotes the obtained SLLs, DSLL is the desired SLLs, NULL denotes the depth of null depression optimized by the optimization algorithm
A novel algorithm named HDE-WTLSM has been proposed for antenna array pattern synthesis

Summary

Introduction

Due to the applications in radar and communication systems, antenna array pattern synthesis has attracted attention over the last several decades. Least squares method (LSM) is widely used in traditional measurement adjustment, and in modern adjustment theories such as least square fitting and least square collocation. It has been widely used in the field of surveying and mapping, and in many other fields of science and engineering technology. Algorithms based on the LSM are presented in [5,6,7,8] This kind of algorithm is solved in an iterative way and good results can be obtained for linear array synthesis. As conformal array synthesis is faced with the difference of array element attitude, it is difficult to apply the analytical method directly, which limits the development of this kind of algorithm. The direct method is used in WTLSM to solve array synthesis problem, but it is not suitable to deal with conformal array synthesis problem owing to the constant weight matrix [9]

Methods

Results

Conclusion