西安电子科技大学学报

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天线相位中心的精确优化算法

袁浩波;吴征国;侯建强;党晓杰   

  1. (西安电子科技大学 天线与微波技术重点实验室,陕西 西安 710071)
  • 收稿日期:2016-11-17 出版日期:2017-10-20 发布日期:2017-11-29
  • 作者简介:袁浩波(1980-),男,副教授,E-mail: useryuanhaobo@163.com

Accurate optimization algorithm for the antenna phase center

YUAN Haobo;WU Zhengguo;HOU Jianqiang;DANG Xiaojie   

  1. (Science and Technology on Antennas and Microwave Lab., Xidian Univ., Xi'an 710071, China)
  • Received:2016-11-17 Online:2017-10-20 Published:2017-11-29
  • Supported by:

    国家自然科学基金资助项目(61072018,60901030);中央高校基本科研业务费专项资金资助项目(K50511020032)

摘要:

天线相位中心对于天线的定位和高精度测量影响很大,为此,笔者提出一种计算天线相位中心的优化方法.先假定相位中心在某个坐标点,再以该点为球心作一个投影球面,根据测量点的相位推测其在投影面上的相位,将所有投影相位与其平均值差值的平方和作为目标函数,最后通过共轭梯度法或者遗传算法等优化出相位中心的精确坐标.该方法不需要反复测量天线相位,一次测量后即可准确求出相位中心的坐标,通过一个对称振子天线和一个喇叭天线的数值结果验证了该方法的准确性.

关键词: 天线相位中心, 优化, 共轭梯度法, 遗传算法

Abstract:

The antenna phase center (APC) is very important for the positioning of the antenna and the accuracy of the measurement. This paper presents an optimization method to calculate the phase center accurately. Suppose the phase center is at some known point, a so-called projection sphere can be drawn with this point as the center, and all the measured points can be projected onto this sphere. Then the phases of the projected points are obtained by those of the former, and an objective function is defined by the sum of squares of the differences between these phases and their average value. Finally, the conjugate gradient method (CG) or the genetic Algorithm (GA) can be used to find out the coordinate of the phase center. Instead of measuring the antenna phase repeatedly, this new method can determine the coordinates of the phase center accurately in one single operation. Its accuracy is validated by the numerical results of a dipole and a horn antenna.

Key words: antenna phase center, optimization, conjugate gradient method(CG), genetic algorithms(GA)