DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios

In this paper, a weighted l<sub>1</sub>-norm is proposed in a l<sub>1</sub>-norm-based singular value decomposition (L1-SVD) algorithm, which can suppress spurious peaks and improve accuracy of direction of arrival (DOA) estimation for the low signal-to-noise (SNR) scenarios....

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Main Authors: Ming Zuo, Shuguo Xie, Xian Zhang, Meiling Yang
Format: Article
Language:English
Published: MDPI AG 2021-07-01
Series:Sensors
Subjects:
Online Access:https://www.mdpi.com/1424-8220/21/13/4614
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author Ming Zuo
Shuguo Xie
Xian Zhang
Meiling Yang
author_facet Ming Zuo
Shuguo Xie
Xian Zhang
Meiling Yang
author_sort Ming Zuo
collection DOAJ
description In this paper, a weighted l<sub>1</sub>-norm is proposed in a l<sub>1</sub>-norm-based singular value decomposition (L1-SVD) algorithm, which can suppress spurious peaks and improve accuracy of direction of arrival (DOA) estimation for the low signal-to-noise (SNR) scenarios. The weighted matrix is determined by optimizing the orthogonality of subspace, and the weighted l<sub>1</sub>-norm is used as the minimum objective function to increase the signal sparsity. Thereby, the weighted matrix makes the l<sub>1</sub>-norm approximate the original l<sub>0</sub>-norm. Simulated results of orthogonal frequency division multiplexing (OFDM) signal demonstrate that the proposed algorithm has s narrower main lobe and lower side lobe with the characteristics of fewer snapshots and low sensitivity of misestimated signals, which can improve the resolution and accuracy of DOA estimation. Specifically, the proposed method exhibits a better performance than other works for the low SNR scenarios. Outdoor experimental results of OFDM signals show that the proposed algorithm is superior to other methods with a narrower main lobe and lower side lobe, which can be used for DOA estimation of UAV and pseudo base station.
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spelling doaj.art-a42a0e3c68f2407486cab05ce1a188282023-11-22T02:52:06ZengMDPI AGSensors1424-82202021-07-012113461410.3390/s21134614DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR ScenariosMing Zuo0Shuguo Xie1Xian Zhang2Meiling Yang3School of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaSchool of Electronic and Information Engineering, Beihang University, Beijing 100191, ChinaIn this paper, a weighted l<sub>1</sub>-norm is proposed in a l<sub>1</sub>-norm-based singular value decomposition (L1-SVD) algorithm, which can suppress spurious peaks and improve accuracy of direction of arrival (DOA) estimation for the low signal-to-noise (SNR) scenarios. The weighted matrix is determined by optimizing the orthogonality of subspace, and the weighted l<sub>1</sub>-norm is used as the minimum objective function to increase the signal sparsity. Thereby, the weighted matrix makes the l<sub>1</sub>-norm approximate the original l<sub>0</sub>-norm. Simulated results of orthogonal frequency division multiplexing (OFDM) signal demonstrate that the proposed algorithm has s narrower main lobe and lower side lobe with the characteristics of fewer snapshots and low sensitivity of misestimated signals, which can improve the resolution and accuracy of DOA estimation. Specifically, the proposed method exhibits a better performance than other works for the low SNR scenarios. Outdoor experimental results of OFDM signals show that the proposed algorithm is superior to other methods with a narrower main lobe and lower side lobe, which can be used for DOA estimation of UAV and pseudo base station.https://www.mdpi.com/1424-8220/21/13/4614direction of arrival (DOA) estimationsparse representationlow signal to noiseweighted l<sub>1</sub>-norm
spellingShingle Ming Zuo
Shuguo Xie
Xian Zhang
Meiling Yang
DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios
Sensors
direction of arrival (DOA) estimation
sparse representation
low signal to noise
weighted l<sub>1</sub>-norm
title DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios
title_full DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios
title_fullStr DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios
title_full_unstemmed DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios
title_short DOA Estimation Based on Weighted l<sub>1</sub>-norm Sparse Representation for Low SNR Scenarios
title_sort doa estimation based on weighted l sub 1 sub norm sparse representation for low snr scenarios
topic direction of arrival (DOA) estimation
sparse representation
low signal to noise
weighted l<sub>1</sub>-norm
url https://www.mdpi.com/1424-8220/21/13/4614
work_keys_str_mv AT mingzuo doaestimationbasedonweightedlsub1subnormsparserepresentationforlowsnrscenarios
AT shuguoxie doaestimationbasedonweightedlsub1subnormsparserepresentationforlowsnrscenarios
AT xianzhang doaestimationbasedonweightedlsub1subnormsparserepresentationforlowsnrscenarios
AT meilingyang doaestimationbasedonweightedlsub1subnormsparserepresentationforlowsnrscenarios