系统工程与电子技术

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滑窗式无偏多平台无源定位算法

关欣1, 关欣1, 陶李2, 衣晓1   

  1. 1. 海军航空工程学院电子信息工程系, 山东 烟台 264001;
    2. 海军航空工程学院航空训练基地, 山东 青岛 266108
  • 出版日期:2016-08-25 发布日期:2010-01-03

Unbiased algorithm of multiple platform passive location based on sliding window

GUAN Xin1, GUAN Xin1, TAO Li2, YI Xiao1   

  1. 1. Naval Aeronautical Engineering Academy, Department of Electronic and Information Engineering Yantai 264001,
    China; 2. Naval Aeronautical Engineering Academy, Aviation Training base Qingdao 266108, China
  • Online:2016-08-25 Published:2010-01-03

摘要:

针对纯方位系统单机动平台在不具有比机动目标更高一级的机动运动时,无法满足系统可观测性的问题,提出了一种适用于多平台的无源定位算法。该算法根据目标与平台之间的几何关系得到一个包含目标初始位置和分量速度的伪线性方程组。为减少求解方程组的计算量,保证定位的实时性,对常规的最小二乘法进行了加滑窗处理。通过对观测向量和系数矩阵的分析,证明了算法对目标状态的估计具有无偏性。仿真实验验证了算法的有效性,并讨论分析了平台运动的速度和方向等因素对算法定位性能的影响,得到了保证算法定位性能的平台与目标相对运动关系。

Abstract:

To solve the problem that a single mobile platform cannot satisfy the system observability if it does not have a higher level movement than maneuvering target under bearings-only system, a passive location algorithm which is suitable for multiple mobile platforms is proposed. The algorithm based on the geometric relationships between the targets and platforms can get a pseudo linear system of equations including the initial position and velocity of target. To reduce the amount of calculation for solving system of equations and ensure real-time positioning, deal with the conventional least square method is deal with sliding window way, and the solution of equations is further expressed as the recursive form. Through the analysis of the observation vector and matrix of the equations, the unbiasedness of the algorithm is proved. Simulations experiments verify the effectiveness of the algorithm, the affections of the factors of platform motion such as speed and direction on the position performance of algorithm are discussed, and the relationship between the target and platforms that can obtain the position performance is gotten.