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Updated: May 28, 2026

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Published on: September 3, 2021
A Two-Stage Transformer Framework for Sparse-Array Direction-of-Arrival Estimation via Correlation Vector Recovery
Wenchao He1,2, Yiran Shi2, Hongxi Zhao2
1School of Mechanical and Electrical Engineering, Changchun Humanities and Sciences College, Changchun 130117, China.
This study introduces a two-stage Transformer framework for accurate direction-of-arrival (DOA) estimation using sparse arrays. The method reconstructs sensor data, improving performance in low signal-to-noise ratio and limited observation scenarios.
Area of Science:
- Array Signal Processing
- Machine Learning for Signal Processing
Background:
- Accurate direction-of-arrival (DOA) estimation is crucial for array sensing.
- Sparse arrays and limited observations degrade conventional DOA estimator performance.
- Incomplete second-order statistics cause significant performance degradation.
Purpose of the Study:
- Propose a novel two-stage Transformer framework for robust DOA estimation.
- Address challenges posed by sparse arrays and snapshot-limited data.
- Enhance accuracy and stability in low signal-to-noise ratio (SNR) regimes.
Main Methods:
- A two-stage Transformer framework separates correlation recovery and angle inference.
- Stage one reconstructs complete correlation vectors using masking-aware tokenization and global-context modeling.
- Stage two employs a Transformer regressor for direct DOA prediction from recovered features.
Main Results:
- The proposed method demonstrates robust accuracy and improved stability in low-SNR and snapshot-limited conditions.
- Achieves competitive performance at higher SNRs.
- Recovery-based covariance outperforms conventional difference-coarray processing, especially under noise.
Conclusions:
- The Transformer framework effectively reconstructs incomplete sensor data for DOA estimation.
- The approach offers significant advantages in challenging sparse-array scenarios.
- Provides a reliable alternative to traditional methods for DOA estimation.
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