Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction

Abstract Here, a novel off‐grid direction‐of‐arrival (DOA) estimation algorithm for nested arrays in the context of sparse recovery is proposed. The framework of existing off‐grid approaches is to correct the on‐grid parameter with a grid mismatch variable. From another perspective, we treat the dir...

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Main Authors: Zhen Chen, Chongyi Fan, Huagui Du, Xiaotao Huang
Format: Article
Language:English
Published: Wiley 2021-06-01
Series:Electronics Letters
Subjects:
Online Access:https://doi.org/10.1049/ell2.12060
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author Zhen Chen
Chongyi Fan
Huagui Du
Xiaotao Huang
author_facet Zhen Chen
Chongyi Fan
Huagui Du
Xiaotao Huang
author_sort Zhen Chen
collection DOAJ
description Abstract Here, a novel off‐grid direction‐of‐arrival (DOA) estimation algorithm for nested arrays in the context of sparse recovery is proposed. The framework of existing off‐grid approaches is to correct the on‐grid parameter with a grid mismatch variable. From another perspective, we treat the direction‐of‐arrival deviation as the steering vector deviation equivalently, and the concept of steering vector uncertainty set is introduced to approximate the desired steering vector. Based on this idea, an optimization problem with respect to the uncertainty set for the purpose of steering vector reconstruction is formulated. After that, phase‐ambiguity resolving and phase‐difference approximation are orderly performed on the optimized uncertainty set to extract the off‐grid direction of arrival. Even though a coarse grid is given, simulation results are presented to demonstrate the performance advantage of the proposed direction‐of‐arrival estimation algorithm compared with several existing approaches.
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spelling doaj.art-e290e6ddb2264d77adde768d1f7af2f32022-12-22T04:24:48ZengWileyElectronics Letters0013-51941350-911X2021-06-01571248949210.1049/ell2.12060Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extractionZhen Chen0Chongyi Fan1Huagui Du2Xiaotao Huang3College of Electronic Science and Technology National University of Defense Technology Changsha ChinaCollege of Electronic Science and Technology National University of Defense Technology Changsha ChinaCollege of Electronic Science and Technology National University of Defense Technology Changsha ChinaCollege of Electronic Science and Technology National University of Defense Technology Changsha ChinaAbstract Here, a novel off‐grid direction‐of‐arrival (DOA) estimation algorithm for nested arrays in the context of sparse recovery is proposed. The framework of existing off‐grid approaches is to correct the on‐grid parameter with a grid mismatch variable. From another perspective, we treat the direction‐of‐arrival deviation as the steering vector deviation equivalently, and the concept of steering vector uncertainty set is introduced to approximate the desired steering vector. Based on this idea, an optimization problem with respect to the uncertainty set for the purpose of steering vector reconstruction is formulated. After that, phase‐ambiguity resolving and phase‐difference approximation are orderly performed on the optimized uncertainty set to extract the off‐grid direction of arrival. Even though a coarse grid is given, simulation results are presented to demonstrate the performance advantage of the proposed direction‐of‐arrival estimation algorithm compared with several existing approaches.https://doi.org/10.1049/ell2.12060AlgebraSignal processing and detectionSignal processing theoryCombinatorial mathematicsAlgebraCombinatorial mathematics
spellingShingle Zhen Chen
Chongyi Fan
Huagui Du
Xiaotao Huang
Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction
Electronics Letters
Algebra
Signal processing and detection
Signal processing theory
Combinatorial mathematics
Algebra
Combinatorial mathematics
title Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction
title_full Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction
title_fullStr Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction
title_full_unstemmed Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction
title_short Off‐grid direction‐of‐arrival estimation for nested arrays via uncertainty set extraction
title_sort off grid direction of arrival estimation for nested arrays via uncertainty set extraction
topic Algebra
Signal processing and detection
Signal processing theory
Combinatorial mathematics
Algebra
Combinatorial mathematics
url https://doi.org/10.1049/ell2.12060
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AT chongyifan offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction
AT huaguidu offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction
AT xiaotaohuang offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction