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Radar bias error estimation in a data fusion system of 3-dimensional radars

机译:3维雷达数据融合系统中的雷达偏差误差估计

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An important problem in a multiple radar multiple target tracking system (i.e., multiple radar fusion) is to reduce radar biases in order to determine whether the observations detected by several different radars represent the same aircraft or different aircraft. The purpose of this paper is to treat the problem of estimating three dimensional (i.e., range, elevation and azimuth) radar biases in a two-radar system using several aircraft that are detected by two radars simultaneously. A batch method using a linear least squares approach was considered for aligning two dimensional radars (i.e., range and azimuth). This method requires a large number of aircraft (100 or more). We present a recursive method using a linear least squares approach that can be considered as a six-order Kalman filter. The elements of state vector are the radar bias components in two radars. We also present that a condition for unique solution and an index of accurate radar bias estimation. This index is that the minimum singular value of an observation matrix H. Our computer simulation results show that the radar bias solutions are sensitive to radar and aircraft geometries. But our computer simulation results show the effectiveness of the proposed method, because we can select aircraft geometries using the minimum singular value analysis in order to obtain a good estimation. Our simulation results also show that our new approach can achieve satisfactory estimation accuracy with 2 aircraft aligning the three dimensional radars.
机译:多雷达多目标跟踪系统(即多雷达融合)中的重要问题是减小雷达偏差,以便确定由多个不同雷达检测到的观测结果是代表同一架飞机还是不同飞机。本文的目的是处理使用两架雷达同时探测到的几架飞机在两雷达系统中估计三维(即距离,仰角和方位角)雷达偏差的问题。考虑了使用线性最小二乘法的批处理方法来对准二维雷达(即距离和方位角)。此方法需要大量飞机(100架或更多)。我们提出了一种使用线性最小二乘法的递归方法,可以将其视为六阶卡尔曼滤波器。状态向量的元素是两个雷达中的雷达偏置分量。我们还提出了唯一解决方案的条件和准确的雷达偏差估计指标。该指标是观测矩阵H的最小奇异值。我们的计算机仿真结果表明,雷达偏差解对雷达和飞机的几何形状很敏感。但是我们的计算机仿真结果表明了该方法的有效性,因为我们可以使用最小奇异值分析来选择飞机的几何形状以获得良好的估计。我们的仿真结果还表明,通过2架飞机对准三维雷达,我们的新方法可以实现令人满意的估计精度。

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