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High-precision array element localization for bottom-mounted horizontal line arrays in the deep oceana).
Yue Liu1, Le Cheng2, Bingbing Zhang1
1College of Meteorology and Oceanology, National University of Defense Technology, Changsha 410073, China.
The Journal of the Acoustical Society of America
|May 19, 2026
Summary
Accurate array element localization (AEL) is crucial for underwater acoustics. A new ray propagation model (RPM) improves vertical localization and timing estimation in deep oceans, outperforming the linear propagation model (LPM).
Area of Science:
- Oceanography
- Acoustics
- Signal Processing
Background:
- High-precision array element localization (AEL) is critical for bottom-mounted horizontal line arrays.
- Deployment uncertainties and environmental factors like sound-speed variability degrade performance in deep-ocean acoustics.
Purpose of the Study:
- To develop an improved AEL method for deep-ocean environments.
- To enhance localization accuracy and source-timing estimation by accounting for complex acoustic propagation and environmental variability.
Main Methods:
- Formulated AEL as a simultaneous localization and mapping problem within a Bayesian framework.
- Incorporated a ray propagation model (RPM) to utilize direct and surface-reflected paths, accounting for sound-speed profile variations.
- Employed an extended Kalman filter for joint estimation of array geometry, source trajectory, emission time, and sound-speed bias.
Main Results:
- The RPM-based method achieved comparable horizontal localization accuracy to the linear propagation model (LPM).
- Significantly improved vertical localization performance and source-timing estimation compared to LPM.
- Demonstrated robustness to sound-speed profile uncertainty through sensitivity and consistency analyses.
- Array calibration reduced bearing estimation RMSE from 4.36° to 0.29°, improving beamforming gain by 2.1 dB.
Conclusions:
- The RPM-based Bayesian approach enhances AEL accuracy in challenging deep-ocean conditions.
- This method offers significant improvements in vertical localization and source-timing estimation.
- Effective array calibration is vital for practical applications, leading to substantial performance gains.

