Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization

A super-resolution direction-of-arrival (DoA) estimation algorithm that employs a co-prime array and positive atomic norm minimization (ANM) is proposed. To exploit larger array cardinality, the co-prime array vector is constructed by arranging elements of a correlation matrix. The positive ANM is a...

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Main Authors: Hyeonjin Chung, Young Mi Park, Sunwoo Kim
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Energies
Subjects:
Online Access:https://www.mdpi.com/1996-1073/13/14/3609
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author Hyeonjin Chung
Young Mi Park
Sunwoo Kim
author_facet Hyeonjin Chung
Young Mi Park
Sunwoo Kim
author_sort Hyeonjin Chung
collection DOAJ
description A super-resolution direction-of-arrival (DoA) estimation algorithm that employs a co-prime array and positive atomic norm minimization (ANM) is proposed. To exploit larger array cardinality, the co-prime array vector is constructed by arranging elements of a correlation matrix. The positive ANM is a technique that can enhance resolution when the coefficients of the atoms are the positive real numbers. A novel optimization problem is proposed to ensure the coefficients of the atoms are the positive real numbers, and the positive ANM is employed after solving the optimization problem. The simulation results show that the proposed algorithm achieves high resolution and has lower complexity than the other ANM-based super-resolution DoA estimation algorithm.
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spelling doaj.art-d8e0d8409d174abfbce57c0aee7336022023-12-03T11:57:40ZengMDPI AGEnergies1996-10732020-07-011314360910.3390/en13143609Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm MinimizationHyeonjin Chung0Young Mi Park1Sunwoo Kim2Department of Electronics and Computer Engineering, Hanyang University, Seoul 04763, KoreaElectronic Warfare PMO, Agency for Defense Development, Daejeon 305-600, KoreaDepartment of Electronics and Computer Engineering, Hanyang University, Seoul 04763, KoreaA super-resolution direction-of-arrival (DoA) estimation algorithm that employs a co-prime array and positive atomic norm minimization (ANM) is proposed. To exploit larger array cardinality, the co-prime array vector is constructed by arranging elements of a correlation matrix. The positive ANM is a technique that can enhance resolution when the coefficients of the atoms are the positive real numbers. A novel optimization problem is proposed to ensure the coefficients of the atoms are the positive real numbers, and the positive ANM is employed after solving the optimization problem. The simulation results show that the proposed algorithm achieves high resolution and has lower complexity than the other ANM-based super-resolution DoA estimation algorithm.https://www.mdpi.com/1996-1073/13/14/3609super-resolutionpositive atomic norm minimizationco-prime arraydirection-of-arrival (DoA) estimationcontinuous compressive sensing
spellingShingle Hyeonjin Chung
Young Mi Park
Sunwoo Kim
Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization
Energies
super-resolution
positive atomic norm minimization
co-prime array
direction-of-arrival (DoA) estimation
continuous compressive sensing
title Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization
title_full Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization
title_fullStr Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization
title_full_unstemmed Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization
title_short Super-Resolution DoA Estimation on a Co-Prime Array via Positive Atomic Norm Minimization
title_sort super resolution doa estimation on a co prime array via positive atomic norm minimization
topic super-resolution
positive atomic norm minimization
co-prime array
direction-of-arrival (DoA) estimation
continuous compressive sensing
url https://www.mdpi.com/1996-1073/13/14/3609
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AT youngmipark superresolutiondoaestimationonacoprimearrayviapositiveatomicnormminimization
AT sunwookim superresolutiondoaestimationonacoprimearrayviapositiveatomicnormminimization