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A fluctuation-based method for tonal source depth discrimination using a vertical line array in shallow ocean
Yuxin Deng1,2,3, Cong Wang1,2,3, Xionghou Liu1,2,3
1School of Marine Science and Technology, Northwestern Polytechnical University, Xi'an 710072, People's Republic of China.
The Journal of the Acoustical Society of America
|August 5, 2026
Summary
This study introduces a new method for distinguishing surface and submerged sound sources in shallow oceans. It enhances depth discrimination using modal orthogonality and a normalized amplitude fluctuation index, improving performance with limited vertical line array (VLA) spans.
Area of Science:
- Underwater acoustics
- Signal processing
- Oceanography
Background:
- Distinguishing source depths is crucial for underwater acoustic applications.
- Amplitude fluctuation differences offer a mechanism for source depth discrimination.
- Existing methods like modal scintillation face limitations with vertical line array (VLA) span.
Purpose of the Study:
- To enhance binary source depth discrimination in shallow ocean environments.
- To overcome the performance limitations of existing methods, especially under reduced VLA span conditions.
- To develop a robust method for differentiating surface and submerged acoustic sources.
Main Methods:
- Analysis of physical mechanisms behind amplitude fluctuations.
- Exploitation of modal orthogonality to enhance fluctuation differences without modal decomposition.
- Development of a normalized amplitude fluctuation index for VLA application.
- Integration of signal power across the VLA to suppress interference and preserve depth-dependent fluctuations.
Main Results:
- The proposed method demonstrates robust distinction between surface and submerged sources, independent of source range.
- Simulation results show superior depth discrimination compared to the Modified Modal Scintillation Index method under limited VLA spans.
- Experimental validation using SWellEx-96 data confirms improved discrimination performance.
Conclusions:
- Modal orthogonality effectively enhances amplitude fluctuation differences for improved source depth discrimination.
- The normalized amplitude fluctuation index provides a reliable metric for VLA-based source depth identification.
- The proposed technique offers a significant advancement for underwater acoustic source localization, particularly in challenging shallow water conditions.

