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...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Wiley
2021-06-01
|
Series: | Electronics Letters |
Subjects: | |
Online Access: | https://doi.org/10.1049/ell2.12060 |
_version_ | 1798003085791985664 |
---|---|
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. |
first_indexed | 2024-04-11T12:03:27Z |
format | Article |
id | doaj.art-e290e6ddb2264d77adde768d1f7af2f3 |
institution | Directory Open Access Journal |
issn | 0013-5194 1350-911X |
language | English |
last_indexed | 2024-04-11T12:03:27Z |
publishDate | 2021-06-01 |
publisher | Wiley |
record_format | Article |
series | Electronics Letters |
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 |
work_keys_str_mv | AT zhenchen offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction AT chongyifan offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction AT huaguidu offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction AT xiaotaohuang offgriddirectionofarrivalestimationfornestedarraysviauncertaintysetextraction |