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计算机工程 ›› 2019, Vol. 45 ›› Issue (9): 55-59. doi: 10.19678/j.issn.1000-3428.0052052

• 移动互联与通信技术 • 上一篇    下一篇

总体最小二乘波达方向估计方法

汪海, 张梦晗, 崔逊学   

  1. 陆军炮兵防空兵学院 信息工程系, 合肥 230031
  • 收稿日期:2018-07-09 修回日期:2018-09-14 出版日期:2019-09-15 发布日期:2019-09-03
  • 作者简介:汪海(1994-),男,硕士研究生,主研方向为传感器网络;张梦晗,硕士研究生;崔逊学,教授、博士。
  • 基金资助:
    国家自然科学基金"基于TDOA测向交叉的脉冲声源定位优化方法研究"(61672532)。

Total Least Squares Method for Direction of Arrival Estimation

WANG Hai, ZHANG Menghan, CUI Xunxue   

  1. Department of Information Engineering, Army Academy of Artillery and Air Defense, Hefei 230031, China
  • Received:2018-07-09 Revised:2018-09-14 Online:2019-09-15 Published:2019-09-03
  • Supported by:
    This work is supported by China Southern Power Grid Corporation Science and Technology Project (No.ZDKJXM20160007).

摘要: 在到达时间差定位技术中,当传感器位置坐标存在误差时,最小二乘法(LS)所得估计值不再具有最优无偏性,导致测向精度下降。针对该问题,提出基于总体最小二乘的测向方法。将非线性的观测方程转化为伪线性方程,构成增广矩阵并对其进行奇异值分解,从而得到目标位置。理论分析和仿真结果表明,与经典的LS法和LS-Tylar法相比,该方法的定位精度较高。

关键词: 到达时间差, 测向, 总体最小二乘, 奇异值分解, 克拉美罗下界

Abstract: In the Time Difference of Arrival(TDOA) positioning technology,when the position coordinates of the sensor have errors,the estimated value obtained by the Least Squares(LS) method no longer has the best unbiasedness,resulting in a decrease in the direction finding accuracy.Aiming at this problem,a direction finding method based on Total Least Squares(TLS) is proposed.By transforming the nonlinear observation equation into pseudo-linear equation,the augmented matrix is constructed and the singular value decomposition is carried out to achieve the target position.Theoretical analysis and simulation results show that this method is more accurate than the classical LS method and LS-Tylar method.

Key words: Time Difference of Arrival(TDOA), direction finding, Total Least Squares(TLS), singular value decomposition, Cramer-Rao Lower Bound(CRLB)

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