We constructed an adaptive modal rank-reduction algorithm for acoustic source localization with a vertical sensor array operating under conditions of incomplete information on the spatial variability of the waveguide propagation channel. It has been established by means of statistical modeling that the proposed estimator gives a significant advantage in the accuracy of the source position finding as well as in the achieved probability of correct source localization in comparison with the conventional MUSIC and maximum likelihood methods for processing in the array-element space. The proposed method was verified by its application to the experimental data obtained in the Ladoga lake. It has been shown that the corresponding adaptive algorithm (combined with mode filtering) has a sufficiently high resolution, guarantees stability of the estimation procedure to the deterministic mismatch caused by imprecise knowledge of the seabed geoacoustic properties and, in contrast to the conventional techniques, provides an accurate solution to the inverse problem.

中文翻译：

---

使用模态降阶算法在非均匀声波波导中进行声源定位

我们构建了一种用于声源定位的自适应模态降阶算法，其中垂直传感器阵列在波导传播通道空间可变性信息不完整的条件下运行。通过统计建模已经确定，与传统的 MUSIC 和最大似然方法相比，所提出的估计器在源位置查找的准确性和正确源定位的实现概率方面具有显着优势。数组元素空间。通过将所提出的方法应用于在拉多加湖中获得的实验数据进行了验证。已经表明相应的自适应算法（结合模式滤波）具有足够高的分辨率，