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应用科学学报 ›› 2010, Vol. 28 ›› Issue (1): 49-55.

• 信号与信息处理 • 上一篇    下一篇

应用矩阵分解的阵列信号参数辨识

刘旭， 许宗泽， 雷磊   

  1. 南京航空航天大学信息科学与技术学院，南京210016
  • 收稿日期:2009-07-22 修回日期:2009-10-15 出版日期:2010-01-20 发布日期:2010-01-20
  • 作者简介:刘旭，博士生，研究方向：通信信号处理，E-mail: liuxu@nuaa.edu.cn；许宗泽，教授，博导，研究方向：数据通信和通信网技术，E-mail: xzzem@yahoo.com

Identification of Array Signal Parameters Based on Matrix Decomposition

LIU Xu, XU Zong-ze, LEI Lei   

  1. College of Information Science and Technology, Nanjing University of Aeronautics and Astronautics,Nanjing 210016, China
  • Received:2009-07-22 Revised:2009-10-15 Online:2010-01-20 Published:2010-01-20

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1854

被引次数

8

摘要：

从矩阵分解的角度研究了均匀线阵信号参数的可辨识性问题. 在范得蒙结构约束条件下实现接收信号矩阵的唯一分解. 运用交换引理和范德蒙矩阵的结构性质，给出了均匀线阵信号参数的可辨识条件，并将参数的可辨识条件扩展到相关信源情况和多径传输情况. 从矩阵分解的角度得到的阵列信号参数的辨识条件给出了阵列信号参数估计算法有效的必要条件，阵列信号参数仅与接收天线的阵列流形和信号的结构有关，与具体的参数估计算法无关.

关键词: 参数估计, 矩阵分解, 范德蒙结构, Khatri-Rao积, 阵列信号处理

Abstract:

We study parameter identification of uniform linear array signals in this work. The received signal matrix is uniquely decomposed under the Vandermonde structure constrains. Parameters of the signal received from uniform linear antennae (ULA) are then identified by exploiting the permutation lemma. The result is extended to the case of dependent sources and multipath transmission by exploiting the property of Khatri-Rao
product structure. The matrix-decomposition-based identification results of array signal parameters provide a necessary condition for the effectiveness of parameter estimation algorithms. They are independent of specific parameter estimation algorithm, but only depend on the structure property of array manifold and signals.

Key words: parameter estimation, matrix decomposition, Vandermonde structure, Khatri-Rao product, array signal processing

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