An Efficient Super-Resolution DOA Estimator Based on Grid Learning

Direction-of-arrival (DOA) estimation based on sparse signal reconstruction (SSR) is always vulnerable to off-grid error. To address this issue, an efficient super-resolution DOA estimation algorithm is proposed in this work. Utilizing the Taylor series expansion, the sparse dictionary matrix is con...

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Main Authors: Z. Wei, X. Li, B. Wang, W. Wang, Q. Liu
Format: Article
Language:English
Published: Spolecnost pro radioelektronicke inzenyrstvi 2019-12-01
Series:Radioengineering
Subjects:
Online Access:https://www.radioeng.cz/fulltexts/2019/19_04_0785_0792.pdf
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author Z. Wei
X. Li
B. Wang
W. Wang
Q. Liu
author_facet Z. Wei
X. Li
B. Wang
W. Wang
Q. Liu
author_sort Z. Wei
collection DOAJ
description Direction-of-arrival (DOA) estimation based on sparse signal reconstruction (SSR) is always vulnerable to off-grid error. To address this issue, an efficient super-resolution DOA estimation algorithm is proposed in this work. Utilizing the Taylor series expansion, the sparse dictionary matrix is constructed under the off-grid model. Then, a polynomial optimization function is established based on the orthogonality principle. By minimizing the given objective function, we derive an efficient closed-form solution of the off-grid errors. Using the estimated off-grid errors, the discretized grid can be iteratively learned and approaches the true DOAs. With the newly learned grid, accurate DOA estimations can be achieved through the SSR scheme. The proposed algorithm converges fast and achieves precise DOA estimations even the step size of the discretized grid is large. The superior performance of the proposed algorithm is demonstrated by the simulation results.
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spelling doaj.art-62430e8be3ee4bd89da345028cdb06452022-12-22T02:00:18ZengSpolecnost pro radioelektronicke inzenyrstviRadioengineering1210-25122019-12-01284785792An Efficient Super-Resolution DOA Estimator Based on Grid LearningZ. WeiX. LiB. WangW. WangQ. LiuDirection-of-arrival (DOA) estimation based on sparse signal reconstruction (SSR) is always vulnerable to off-grid error. To address this issue, an efficient super-resolution DOA estimation algorithm is proposed in this work. Utilizing the Taylor series expansion, the sparse dictionary matrix is constructed under the off-grid model. Then, a polynomial optimization function is established based on the orthogonality principle. By minimizing the given objective function, we derive an efficient closed-form solution of the off-grid errors. Using the estimated off-grid errors, the discretized grid can be iteratively learned and approaches the true DOAs. With the newly learned grid, accurate DOA estimations can be achieved through the SSR scheme. The proposed algorithm converges fast and achieves precise DOA estimations even the step size of the discretized grid is large. The superior performance of the proposed algorithm is demonstrated by the simulation results.https://www.radioeng.cz/fulltexts/2019/19_04_0785_0792.pdfdirection of arrival (doa) estimationgrid learningsparse signal reconstruction (ssr)off-grid model
spellingShingle Z. Wei
X. Li
B. Wang
W. Wang
Q. Liu
An Efficient Super-Resolution DOA Estimator Based on Grid Learning
Radioengineering
direction of arrival (doa) estimation
grid learning
sparse signal reconstruction (ssr)
off-grid model
title An Efficient Super-Resolution DOA Estimator Based on Grid Learning
title_full An Efficient Super-Resolution DOA Estimator Based on Grid Learning
title_fullStr An Efficient Super-Resolution DOA Estimator Based on Grid Learning
title_full_unstemmed An Efficient Super-Resolution DOA Estimator Based on Grid Learning
title_short An Efficient Super-Resolution DOA Estimator Based on Grid Learning
title_sort efficient super resolution doa estimator based on grid learning
topic direction of arrival (doa) estimation
grid learning
sparse signal reconstruction (ssr)
off-grid model
url https://www.radioeng.cz/fulltexts/2019/19_04_0785_0792.pdf
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