系统工程与电子技术 ›› 2019, Vol. 41 ›› Issue (7): 1459-1467.doi: 10.3969/j.issn.1001-506X.2019.07.04

• 电子技术 • 上一篇    下一篇

基于TOA变化率有偏估计的单通道无源定位

朱晓丹1,2, 朱伟强1, 陈卓1   

  1. 1. 中国航天科工集团八五一一研究所, 江苏 南京 210007;
    2. 中国航天科工集团二院研究生院, 北京 100854
  • 出版日期:2019-06-28 发布日期:2019-07-05

Passive localization based on biased estimation of TOA changing rate using single channel#br#

ZHU Xiaodan1,2, ZHU Weiqiang1, CHEN Zhuo1   

  1. 1. No.8511 Research Institute, China Aerospace Science and Industry Corporation Limited, Nanjing 210007, China;
    2. Graduate School of the Second Academy of China Aerospace Science and Industry Corporation Limited, Beijing 100854, China
  • Online:2019-06-28 Published:2019-07-05

摘要: 针对相对径向加速度较小时,已有的到达时间(time of arrival, TOA)二次变化率定位方法精度低的问题,提出基于TOA变化率的高精度定位方法。为了提高TOA变化率估计精度,提出忽略径向加速度进行有偏估计的方法;基于有偏的TOA变化率,首先采用牛顿迭代方法,获得目标位置的粗估计,再根据粗定位值近似计算定位偏差,对粗定位进行偏差修正,得到目标位置的高精度估计。理论分析了利用有偏估计进行定位带来的随机误差和定位偏差,以及偏差修正后的定位精度。仿真分析表明,在观测站速度和加速度较小时,本文提出的TOA变化率定位方法精度优于TOA二次变化率定位方法,提出的偏差修正方法可有效降低有偏估计带来的定位偏差,定位精度优于无偏TOA变化率定位方法。

关键词: 无源定位, 单通道, 到达时间变化率, 有偏估计, 偏差修正

Abstract: Existing localization methods using second order changing rate of time of arrival (TOA) can not achieve a high precise estimation when the acceleration of the observing station is small. A new locating method is proposed by estimating the TOA changing rate for each duration slice of the observation. A biased estimator is used to reduce the root mean square error (RMSE) by ignoring the relative acceleration. Firstly, Newton iterative method is adopted to get a rough estimation of the position based on the biased estimation. Secondly, the position bias can be calculated approximately with the coarse estimation. Finally, the location is revised by eliminating the calculated position bias from the rough estimation. The location errors before and after correction are induced consisting of the random and biased portion. The numerical simulations demonstrate that the localization based on TOA changing rate is more precise than the one based on second order changing rate of TOA, and the correction procedure can modify the position estimation efficiently. The location precision is better than that of the conventional unbiased method.

Key words: passive location, single channel, time of arrival (TOA) changing rate, biased estimation, bias correction