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Peiling Wang, Jinfeng Zhang. A Singular Value Thresholding Based Matrix Completion Method for DOA Estimation in Nonuniform Noise[J]. JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2021, 30(4): 368-376. doi: 10.15918/j.jbit.1004-0579.2021.078
Citation: Peiling Wang, Jinfeng Zhang. A Singular Value Thresholding Based Matrix Completion Method for DOA Estimation in Nonuniform Noise[J].JOURNAL OF BEIJING INSTITUTE OF TECHNOLOGY, 2021, 30(4): 368-376.doi:10.15918/j.jbit.1004-0579.2021.078
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A Singular Value Thresholding Based Matrix Completion Method for DOA Estimation in Nonuniform Noise

doi:10.15918/j.jbit.1004-0579.2021.078

  • School of Electronics and Information Engineering, Shenzhen University, Shenzhen 518060, China

Funds:This work was supported in part by the National Natural Science Foundation of China (No. 61771316).
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  • Author Bio:

    Peiling Wang(1900432059@email.szu.edu.cn) was born in Hunan Province, China, in 1997. She received the B.E. degree from Lanzhou Jiaotong University, Gansu, China, in 2019. She is currently pursuing the master’s degree in Shenzhen University. Her current research interests are array signal processing and matrix recovery

    Jinfeng Zhang(zhangjf@szu.edu.cn) received the Ph.D. degree in signal and information processing from Dalian University of Technology, Dalian, China, in 2017. She is currently an associate professor in the faculty of College of Electronics and Information Engineering, Shenzhen University, and she also serves as a member of the Guangdong Key Laboratory of Intelligent Information Processing, Shenzhen University. Her research interests include array signal processing and Non-Gaussian signal processing and their applications

  • Corresponding author:Jinfeng Zhang. Email:zhangjf@szu.edu.cn
  • Received Date:2021-10-22
  • Rev Recd Date:2021-11-08
  • Accepted Date:2021-11-18
  • Publish Date:2021-12-27
    Abstract
  • Usually, the problem of direction-of-arrival (DOA) estimation is performed based on the assumption of uniform noise. In many applications, however, the noise across the array may be nonuniform. In this situation, the performance of DOA estimators may be deteriorated greatly if the non-uniformity of noise is ignored. To tackle this problem, we consider the problem of DOA estimation in the presence of nonuniform noise by leveraging a singular value thresholding (SVT) based matrix completion method. Different from that the traditional SVT method apply fixed threshold, to improve the performance, the proposed method can obtain a more suitable threshold based on careful estimation of the signal-to-noise ratio(SNR) levels. Specifically, we firstly employ an SVT-based matrix completion method to estimate the noise-free covariance matrix. On this basis, the signal and noise subspaces are obtained from the eigendecomposition of the noise-free covariance matrix. Finally, traditional subspace-based DOA estimation approaches can be directly applied to determine the DOAs. Numerical simulations are performed to demonstrate the effectiveness of the proposed method.
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