吉林大学学报(工学版) ›› 2015, Vol. 45 ›› Issue (5): 1731-1736.doi: 10.13229/j.cnki.jdxbgxb201505050

• • 上一篇    

基于时间反转算子分解的选择性聚焦方法

付永庆, 刘伟   

  1. 哈尔滨工程大学 信息与通信工程学院, 哈尔滨 150001
  • 收稿日期:2014-03-13 出版日期:2015-09-01 发布日期:2015-09-01
  • 作者简介:付永庆(1956-）,男,教授.研究方向:通信与信息处理,阵列信号处理.E-mail:fuyongqing@hrbeu.edu.cn
  • 基金资助:
    国家自然科学基金项目(61172038)

Selective focusing method with decomposition of the time reversal operator

FU Yong-qing, LIU Wei   

  1. College of Information and Communication Engineering, Harbin Engineering University, Harbin 150001, China
  • Received:2014-03-13 Online:2015-09-01 Published:2015-09-01

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摘要： 为了实现电磁平面波在不同目标上的选择性聚焦,提出了一种基于波动方程时间反转不变性的时间反转算子分解算法。该算法利用天线阵列发射和接收的目标探测信号获得传输矩阵和时间反转算子,然后对该算子进行特征值分解,其中非零主特征值的个数对应目标个数,而每个非零主特征值所对应的主特征向量则包含了相应目标的方位信息。根据每个目标相对应的特征向量计算目标域中各观测点的目标函数可获得目标域中的目标函数值分布情况,并实现在不同目标处的选择性聚焦。最后,通过仿真实验验证了电磁平面波情况下基于时间反转算子分解的选择性聚焦方法的准确性和有效性。

关键词: 信息处理技术, 选择性聚焦, 时间反转算子分解, 特征向量

Abstract: In order to achieve the selective focusing on different targets in electromagnetic plane wave, a decomposition method of the time reversal operator based on the time reversal invariance of wave equation is proposed. In this method, the transfer matrix and time reversal operator are obtained by emitting and receiving the signal for detecting targets with the antenna array. Then, the time reversal operator is used to perform eigenvalue decomposition. In eigenvalue decomposition, the number of nonzero main eigenvalues is the same as the number of targets, and the main eigenvectors corresponding with these nonzero main eigenvalues contain the direction information of the targets. According to these eigenvectors of targets to calculate the objective function of every detection point in the given target area can be obtained the objective function value distribution of the target area, and achieve the selective focusing on different targets. Finally, the simulations are performed and the results show that the selective focusing method with decomposition of the time reversal operator in electromagnetic plane wave is effective.

Key words: information processing, selective focusing, decomposition of the time reversal operator, eigenvector

中图分类号: 

  • TN911
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