Bistatic Sonar Localization Algorithm Based on Nonlinear Least Squares
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摘要: 双基地声纳定位是一种重要的定位方法, 采用优化算法来提高定位精度是其重要的研究内容。本文采用了将双基地声纳定位方程转化为非线性最小二乘(NLS)问题的技术方法, 并后置最优化方法LMF算法, 研究了基于多基地接收源的目标定位性能和定位精度的几何稀释(GDOP), 给出了定位误差分布。通过数值仿真, 研究了不同基线长度时双基地声纳的定位精度, 并将NLS拟和算法的多接收源定位性能与纯时间估计定位性能进行了比较。研究表明, 本文的基于多基地接收源的目标定位方法相对于纯时间估计定位方法提高了定位精度, 特别是在相对短的基线(7.4 km基线长度)情况下, 可提高30%的精度。该研究为最优化方法在水声定位中的应用提供了依据。Abstract: To improve bistatic sonar localization accuracy, a nonlinear least squares(NLS) localization algorithm based on Levenberg-Marquardt-Fletcher(LMF) method for bistatic sonar is proposed. The localization principle and the geo-metrical dilution of precision(GDOP) of localization error are analyzed, and the localization error distribution is ob-tained. Through numerical simulation, localization accuracy for different baseline length is investigated. And the local-ization accuracy of NLS algorithm is compared with that of the time-only-localization(TOL) method. Simulation results show that NLS algorithm, which takes full advantage of system information, has higher localization accuracy than TOL method, especially, its localization accuracy can be improved by 30% under shorter baseline length of 7.4 km.
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