Fast and Accurate Single-Snapshot DOA Estimation: Iterative Interpolated Approaches

• Published in: IEEE geoscience and remote sensing letters 2023-01, Vol.20, p.1-1
• Main Authors: Liu, Yicen, Zhao, Peiyan, Yao, Denghui, Liu, Bo, Zhang, Junning
• Format: Article
• Language: English
• Subjects: Algorithms; Asymptotic properties; Coefficients; Cramer-Rao bounds; Cramér-Rao bound; DFT interpolation; Direction of arrival; direction of arrival (DOA) estimation; Direction-of-arrival estimation; Discrete Fourier transforms; Error functions; Estimation; Estimation accuracy; Fourier transforms; Interpolation; Iterative algorithms; Iterative methods; Radar signal processing; Signal processing algorithms; Superresolution
• ISSN: 1545-598X; 1558-0571
• DOI: 10.1109/LGRS.2023.3283288

Estimating the Direction of Arrival (DOA) of a single source signal from a single observation of an array data still plays an important part in practical application scenarios. To address the problem, this letter proposes two iterative, fast and accurate approaches namely Q-Shift based DOA Estimation Algorithm (QS-DOAEA) and Tradeoff between A&M and Q-Shift based DOA Estimation Algorithm (TAQ-DOAEA). QS-DOAEA adopts the interpolation of shifted DFT coefficients to iteratively obtain the near-optimal estimation. TAQ-DOAEA employs the error function by simultaneously mixing the q -shifted and half-shifted DFT coefficients, which only requires two iterations. Numerical results reveal that QS-DOAEA achieves significant improvement in terms of estimation accuracy and TAQ-DOAEA expedites the convergence. The proposed estimation algorithms demonstrate that they have an asymptotic variance that is at least 1.0013 times asymptotic Cramér-Rao bound (ACRB), and provide more than 80× reduction in the computational cost, compared to the baseline method. All our proposed algorithms and code are available at https://github.com/jn-z/.