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应用科学学报 ›› 2011, Vol. 29 ›› Issue (2): 187-194.doi: 10.3969/j.issn.0255-8297.2011.02.012

• 信号与信息处理 • 上一篇    下一篇

平面阵列下的二维角度和频率联合估计

许凌云1;2， 张小飞1， 许宗泽1   

  1. 1. 南京航空航天大学信息科学与技术学院，南京210016
    2. 南京航空航天大学理学院，南京210016
  • 收稿日期:2010-11-24 修回日期:2011-01-07 出版日期:2011-03-23 发布日期:2011-03-23
  • 作者简介:许凌云，博士生，讲师，研究方向：阵列信号处理，E-mail: xlyun@nuaa.edu.cn；许宗泽，教授，博导，研究方向：通信信号处理，E-mail:xzzem@yahoo.com
  • 基金资助:

    国家自然科学基金(No.60801052)；教育部博士点基金(No.20103218120022)资助

Joint 2D Angle and Frequency Estimation Based on Uniform Square Array

XU Ling-yun1;2, ZHANG Xiao-fei1, XU Zong-ze1   

  1. 1. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,
    Nanjing 210016, China
    2. College of Science, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
  • Received:2010-11-24 Revised:2011-01-07 Online:2011-03-23 Published:2011-03-23
  • About author:许凌云，博士生，讲师，研究方向：阵列信号处理，E-mail: xlyun@nuaa.edu.cn；许宗泽，教授，博导，研究方向：通信信号处理，E-mail:xzzem@yahoo.com
  • Supported by:

    国家自然科学基金(No.60801052)；教育部博士点基金(No.20103218120022)资助

PDF

1892

被引次数

8

摘要：

 在均匀面阵列结构基础上提出一种二维角度和频率联合估计新方法. 对阵列天线输出的信号进行建模分析，表明阵列接收信号具有平行因子四线性模型特征. 利用该模型低秩分解的唯一性条件，从分解得到的矩阵中联合估计出信源的参数. 该算法首先利用四线性交替最小二乘算法估计出方向矩阵和频率矩阵，然后利用频率矩阵的Vandermonde特征和方向矩阵的结构特点及最小二乘法计算频率和二维角度. 该方法无需谱峰搜索即可实现参数同时估计与配对，与现有的基于三线性分解的算法和ESPRIT算法相比具有更高的估计精度，而且在小样本数情况下也能较好地工作. 仿真结果验证了该方法的有效性.

关键词: 四线性交替最小二乘；二维DOA 估计；频率估计；均匀面阵

Abstract:

A novel joint two-dimensional angle and frequency estimation method based on a uniform square array is presented. The output signal of the antenna array is analyzed, showing quadrilinear model characteristics. The source parameters can be estimated from the matrices via low-rank decomposition based on uniqueness of PARAFAC decomposition. The algorithm first uses the quadrilinear alternating least square (QALS) algorithm to estimate the direction and frequency matrices. It then estimates frequencies according to Vandermonde characteristics of frequency matrix and least square principle. DOAs are estimated from the characteristics of direction matrix and the least square principle. The method does not need to search spectral
peaks or parameter pairs. Compared with ESPRIT and the trilinear model, the proposed algorithm has high precision in parameter estimation, and works well with small sizes. Simulation results verify its effectiveness.

Key words: quadrilinear alternating least square, 2D DOA estimation, frequency estimation, uniform square array

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