时钟异步且声速未知情况下海底阵阵元位置高精度标校方法
Position calibration method of seabed array element under asynchronous clocks and unknown sound speed
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摘要: 提出了一种适用于时钟异步且声速未知情况下的海底阵阵元位置标校方法。该方法将声速、时延偏差和海底阵元水平位置视为待求量, 首先利用伪时延信息, 基于最小二乘思想得到初步标校结果; 在此基础上, 利用泰勒级数展开计算时延和标校节点位置的随机测量误差所导致的初步标校估计偏差, 进而针对初步标校结果进行偏差补偿。仿真结果表明: 所提方法的海底阵阵元位置估计偏差大部分情况下小于0.2 m, 且其均方根误差接近克拉美罗下界; 当阵元位置偏离标校航路中心时, 相比于现有标校方法, 所提方法可以获得更小的均方根误差。海试数据处理表明, 当使用现有标校方法的阵元位置估计结果进行长基线定位时, 其平均定位误差在5 m以上, 而所提方法的平均定位误差仅为2.97 m, 可以获得更高精度的目标位置估计结果。Abstract: A position calibration method of the seabed array element is proposed when the clock at the transmitter is asynchronous to the clock at the receiver and the sound speed is unknown. The proposed method augments the sound speed and the time delay bias as the states to be determined. Firstly, a least square estimator is established based on the pseudo-times of arrivals to attain an initial estimate. Then, the estimation bias is calculated with the help of Taylor series expansion, and a bias-compensated algorithm is given to offset the bias of the initial estimate. Simulation results show the position estimation bias of the proposed method is smaller than 0.2 m and the corresponding root mean squared error reaches the Cramer-Rao lower bound. Sea experiments show, in the subsequent long baseline positioning, the average positioning error of the existing methods are larger than 5 m, while the proposed method can perform better with average localization error being 2.97 m.
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