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New three-dimensional positioning algorithm through integrating TDOA and Newton’s method

机译:通过集成TDOA和Newton方法的新三维定位算法

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Passive time difference location is an important method for passive location. There are fuzzy positioning, no solution, and low positioning accuracy with the spherical coordinate conversion method in the four-station TDOA positioning algorithm. Focusing on these problems, we proposed a combination of TDOA and iterative Newton’s method. The positioning method uses the result obtained by the four-station TDOA location algorithm as the initial value of the iterative Newton’s method and solves the problem of no solution and fuzzy positioning caused by the four-station TDOA location algorithm by using the spherical coordinates conversion method. By simulating the target at a height of 5 km and traveling at a constant speed for 40 km, the positioning accuracy of the root mean square error is less than 45 m, which can achieve the same positioning accuracy of TDOA based on the least square algorithm. As the baseline length increases, the positioning accuracy is better than the least square algorithm.
机译:被动时差位置是被动位置的重要方法。在四站TDOA定位算法中存在模糊定位,无解决方案和低定位精度,具有球形坐标转换方法。专注于这些问题,我们提出了TDOA和迭代牛顿的方法。定位方法使用由四站TDOA定位算法获得的结果作为迭代牛顿方法的初始值,解决了通过使用球形坐标转换方法由四站TDOA定位算法引起的解决方案和模糊定位的问题。通过在5km的高度处模拟目标并以恒定速度行进40公里,根均方误差的定位精度小于45米,这可以基于最小二乘算法实现TDOA的相同定位精度。随着基线长度的增加,定位精度优于最小二乘算法。

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