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Direction of arrival estimation with neural networks via test time self-supervised optimization and array manifold
Yining Liu1,2,3, Xiaojun Zhang4, Ziqiang Luo1,2,3
1School of Ocean Engineering and Technology, Sun Yat-sen University, and Southern Marine Science and Engineering Guangdong Laboratory (Zhuhai), Zhuhai 519000, China.
The Journal of the Acoustical Society of America
|May 11, 2026
Summary
This study introduces Neural-MVDR, a self-supervised method for robust direction-of-arrival estimation. It improves adaptive beamforming by adapting in real-time without pretraining, enhancing accuracy in challenging conditions.
Area of Science:
- Signal Processing
- Array Signal Processing
- Machine Learning for Signal Processing
Background:
- Adaptive beamformers like Minimum Variance Distortionless Response (MVDR) are crucial for signal processing but sensitive to errors.
- Mismatches in the sample covariance matrix (SCM) and array steering vectors degrade performance.
- Existing robust MVDR methods often rely on specific assumptions or pre-trained models.
Purpose of the Study:
- To develop a robust direction-of-arrival (DOA) estimation framework using an adaptive beamformer.
- To introduce a closed-loop Neural-MVDR system that enforces distortionless constraints with a parameterized array model.
- To enable self-supervised, per-frame adaptation at test time, eliminating the need for offline pretraining.
Main Methods:
- Proposes a closed-loop Neural-MVDR framework for DOA estimation.
- Enforces a distortionless constraint aligned with a physically parameterized array model.
- Employs per-frame, self-supervised adaptation, alternating between steering-vector refinement, robust SCM reconstruction via a neural module, and analytical MVDR spectral estimation.
Main Results:
- Demonstrates improved robustness in DOA estimation compared to conventional beamformers and MVDR variants.
- Achieves enhanced performance on both synthetic data and real-world SWellEx-96 S5 event data.
- Outperforms existing robust MVDR techniques including eigenspace suppression, covariance matrix tapering, and shrinkage methods.
Conclusions:
- The proposed Neural-MVDR framework offers a robust and adaptive solution for DOA estimation.
- Self-supervised, real-time adaptation significantly enhances performance without requiring external labeled datasets.
- This approach provides a promising direction for improving adaptive beamforming in practical scenarios with model uncertainties.