北京邮电大学学报

  • EI核心期刊

北京邮电大学学报 ›› 2017, Vol. 40 ›› Issue (s1): 103-107.doi: 10.13190/j.jbupt.2017.s.023

• 论文 • 上一篇    下一篇

一种基于L1范数的目标源测向算法

李枝灵1, 李凯1, 岳晓果2, 亓峰1, 陈兴渝1   

  1. 1. 北京邮电大学 网络与交换技术国家重点实验室, 北京 100876;
    2. 总参信息化部驻航天科技集团军事代表室, 北京 100015
  • 收稿日期:2016-05-29 出版日期:2017-09-28 发布日期:2017-09-28
  • 作者简介:李枝灵(1991-),女,硕士生,E-mail:zhlli@bupt.edu.cn;亓峰(1971-),男,教授,硕士生导师.

A Target Source Direction Estimation Algorithm Based on L1 Norm

LI Zhi-ling1, LI Kai1, YUE Xiao-guo2, QI Feng1, CHEN Xing-yu1   

  1. 1. State Key Laboratory of Networking and Switching Technology, Beijing University of Posts and Telecommunications, Beijing 100876, China;
    2. Military Delegate Office in China Aerospace Science and Technology Corporation, IT Department, PLA Headquarters of the General Staff, Beijing 100015, China
  • Received:2016-05-29 Online:2017-09-28 Published:2017-09-28

摘要: 在高维信号处理中,为了有效地估计信号的角度,提出了基于L1范数的二阶锥规划算法(L1-SVD). 该算法将稀疏重构用于目标源测向技术,在窄带信号的模型基础上,引进稀疏域模型,将一个高维信号的角度估计问题抽象成欠定方程组求解问题. 经Matlab仿真验证,与其他最小范数法以及经典多重信号分类算法相比,该算法在较大的信噪比范围内都能取得较低的重构误差和较高的成功概率,对相关性较大的信号也能进行识别. 这证明了该算法能够有效地实现目标源测向.

关键词: 高维信号处理, L1-二阶锥规划算法, 稀疏重构, 信号角度估计

Abstract: To estimate the angle signal in the high-dimensional signal processing efficiently, a second-order cone algorithm based on L1 norm(L1-SVD) is proposed. The algorithm applys sparse reconstruction to the target direction finding technology. Sparse domain model is introduced based on narrowband signal model,in which angle estimation problem of a high-dimensional signal is abstracted into underdetermined equations problems. Simulation results with Matlab show that, compared with other minimum norm methods and classic multiple signal classification algorithm, L1-SVD can achieve lower reconstruction error and a higher probability of success in a wide range of signal to noise ratio and identify the signal with larger correlation. So it is proved that the algorithm can achieve the target source direction estimation effectively.

Key words: high-dimensional signal processing, L1-SOC, sparse reconstruction, signal angle estimation

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