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浅海波导中简正波相干分量的奇异值分解提取方法

Extracting the interference components of normal modes in shallow water waveguide using singular value decomposition method

  • 摘要: 浅海波导中的简正波相干特性是水声学研究的重要对象之一。提出了一种不需任何先验信息即可从一定带宽声信号中分离、提取各简正波相干分量的方法。首先利用信号功率谱数据构造一个厄米特矩阵;然后对该矩阵作奇异值分解,所得诸奇异向量即分别惟一地对应了声场中某2号简正波的相干分量。推导证明了本文方法的基本原理,通过数值仿真和海上试验验证了其有效性,最后讨论了简正波相干分量提取结果在声源被动测距方面的应用。

     

    Abstract: The normal mode interference characteristic in shallow water waveguide is a valuable topic in the fields of underwater acoustic.A method for extracting the interference components of normal modes from broadband acoustic propagation data recorded by a single hydrophone without any prior information is present in this paper.First,a Hermitian matrix is formed by the power spectral density.Second,a singular value decomposition(SVD) is performed on the Hermitian matrix to obtain the orthonormal eigenvectors,which are proportional to the interference components of normal modes.The fundamental equations of the new extracting method are derived based on normal mode and waveguide invariant theory.And the validity of the present method is verified by the numerical simulation and experimental results.In addition,the extracted results of normal-mode interference components are intented to be used for passive localization of broardband sources.

     

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