A multiple waveguide invariant estimation method based on the warping transform and variational mode decomposition

Abstract

AbstractA multiple waveguide invariant (β) estimation method based on the warping transform and variational mode decomposition (VMD) from one‐dimensional broadband interference sound intensity (BISI) is presented. Firstly, an average β is estimated based on the low‐rank property of the Hankel matrix constructed by BISI. Secondly, the warping principle is used to transform BISI into a warped one. Thirdly, the conventional VMD can be used to effectively decompose the warped BISI. Finally, multiple β can be estimated, respectively. Traditional β estimation methods are based on a two‐dimensional acoustic interference pattern, whose acquisition depends on the horizontal array. This method reduces the data dimensionality of the multivalued β estimation problem without requiring any environmental prior information and is applicable to single hydrophone scenarios. The effectiveness of the presented method is validated by numerical simulation.