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融合稀疏贝叶斯学习波数估计的匹配场定位

Matched-field localization with sparse Bayesian learning wavenumber estimation

  • 摘要: 针对浅海波导被动定位受限于海底参数未知的问题, 提出一种融合稀疏贝叶斯学习水平波数估计的未知海底参数被动定位方法。该方法在仅有水层声速剖面而缺乏海底参数的情况下, 基于稀疏贝叶斯学习和有限差分方法从垂直阵数据中估计各阶模态的水平波数。基于估计的水平波数和测量的声速剖面, 再结合有限差分方法可近似计算不同水平距离和深度处的拷贝声场进行匹配场定位。然而, 该方法因低阶模态水平波数估计误差较大导致可定位的距离范围有限。为拓展对远距离声源的定位能力, 利用稀疏贝叶斯学习估计结果中误差较小的高阶模态水平波数反演等效地声模型, 进而修正低阶模态水平波数估计以支撑远距离声源定位。仿真和试验数据处理结果表明, 等效地声模型反演可将低阶模态水平波数的估计误差降低1个数量级以上, 从而显著提高了可定位的距离范围。

     

    Abstract: To address the challenge of shallow water waveguide passive localization being constrained by unknown seabed parameters, this paper proposes a passive localization method for unknown seabed parameters by integrating sparse Bayesian learning-based horizontal wavenumbers estimation. Under conditions where only the water column sound speed profile is available while seabed parameters are lacking, the method estimates the horizontal wavenumbers of each normal mode from vertical array data using sparse Bayesian learning and the finite difference method. Based on the estimated horizontal wavenumbers and the measured sound velocity profile, combined with the finite difference method, the replica field at various ranges and depths can be approximated for matched-field localization. However, the localizable range of this method is limited due to significant estimation errors in the horizontal wavenumbers of lower-order modes. To extend localization capability to distant sources, this paper inverts an equivalent geoacoustics model using the estimated horizontal wavenumbers of higher-order modes (characterized by smaller errors) from sparse Bayesian learning results, thereby correcting the horizontal wavenumber estimation of lower-order modes to enable long-range acoustic source localization. Simulation and experimental data processing results demonstrate that the inversion of the equivalent geoacoustics model effectively reduces estimation errors in lower-order mode horizontal wavenumbers (errors reduced by over an order of magnitude), thereby significantly extending the localizable range.

     

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