Optimum Localization Algorithm Based on the Linear Least Squares Estimate for Bistatic Sonar
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摘要: 针对双基地声纳系统存在冗余信息的问题, 基于线性最小二乘估计理论提出了一种定位优化算法, 建立了 型声纳系统水下定位的数学模型。通过MATLAB软件的仿真分析, 给出了影响该算法性能的各个因素, 并与传统TOL算法进行了对比。仿真结果表明, 采用线性最小二乘估计算法能更好地利用系统测量的冗余信息, 显著提高双基地声纳基线区和侧边区的定位精度。该算法具有受基线长度和站址误差影响小等优点, 是一种具有工程应用价值的双基地声纳定位算法。本文的研究可为多基地声纳定位优化问题的研究提供理论基础。Abstract: In the view of the redundant information problem of a bistatic sonar system, an optimal localization algorithm based on the linear least squares estimation is proposed. A mathematical model of underwater positioning is established based on a certain bistatic sonar. Through numerical simulation with the software MATLAB, the effect of the system parameters on localization accuracy is investigated. Also, the algorithm is compared with the time-only-localization (TOL) method. Simulation results show that the proposed algorithm, taking full advantage of the redundant information of the bistatic sonar, can effectively improve the localization accuracy, especially in the neighborhood of baseline and the side area of the bistatic sonar. The algorithm is affected weakly by baseline length and station site error with engineering application. This study may provide a theoretical basis for localization optimization problem of multistatic sonar.
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