2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array

In this paper, we propose a novel sparse signal representation (SSR)-based algorithm called the <inline-formula> <tex-math notation="LaTeX">$\ell _{1}$ </tex-math></inline-formula>-PSRCM with cocentered orthogonal loop and dipole (COLD) array to estimate two-dimensi...

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Main Authors: Weijian Si, Yan Wang, Chunjie Zhang
Format: Article
Language:English
Published: IEEE 2018-01-01
Series:IEEE Access
Subjects:
Online Access:https://ieeexplore.ieee.org/document/8519728/
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spelling doaj-720e63a4089243c4abb8c683f76004612021-03-29T20:27:09ZengIEEEIEEE Access2169-35362018-01-016663856639510.1109/ACCESS.2018.287905185197282D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD ArrayWeijian Si0Yan Wang1https://orcid.org/0000-0003-3565-8323Chunjie Zhang2College of Information and Communication Engineering, Harbin Engineering University, Harbin, ChinaCollege of Information and Communication Engineering, Harbin Engineering University, Harbin, ChinaCollege of Information and Communication Engineering, Harbin Engineering University, Harbin, ChinaIn this paper, we propose a novel sparse signal representation (SSR)-based algorithm called the <inline-formula> <tex-math notation="LaTeX">$\ell _{1}$ </tex-math></inline-formula>-PSRCM with cocentered orthogonal loop and dipole (COLD) array to estimate two-dimensional (2D) direction of arrival (DOA) and polarization parameters. Considering the characteristics of polarization sensors, a polarized sparse representation model of covariance matrix is constructed, whose overcomplete dictionary and sparse coefficient matrix only depend on DOA and polarization parameters, respectively. In so doing, the proposed algorithm can make full use of the spatial and polarized information contained in the received data, thereby improving the estimation accuracy. In addition, to reduce the computational complexity and suppress the effect of noise, the modified <inline-formula> <tex-math notation="LaTeX">$\ell _{1}$ </tex-math></inline-formula>-PSRCM algorithm with the real-valued sparse coefficient matrix and noise-free sparse representation model is proposed. Finally, we present the two-dimensional multiresolution grid refinement (2D-MGR) method to reduce the heavy computation burden when the spatial grid is dense. Simulation results validate the superiority of the proposed algorithms.https://ieeexplore.ieee.org/document/8519728/Direction of arrivalℓ⠁-norm penaltypolarization sensitive arraysignal processingspares signal representationtwo-dimensional multi-resolution grid refinement
collection DOAJ
language English
format Article
sources DOAJ
author Weijian Si
Yan Wang
Chunjie Zhang
spellingShingle Weijian Si
Yan Wang
Chunjie Zhang
2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array
IEEE Access
Direction of arrival
ℓ⠁-norm penalty
polarization sensitive array
signal processing
spares signal representation
two-dimensional multi-resolution grid refinement
author_facet Weijian Si
Yan Wang
Chunjie Zhang
author_sort Weijian Si
title 2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array
title_short 2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array
title_full 2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array
title_fullStr 2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array
title_full_unstemmed 2D-DOA and Polarization Estimation Using a Novel Sparse Representation of Covariance Matrix With COLD Array
title_sort 2d-doa and polarization estimation using a novel sparse representation of covariance matrix with cold array
publisher IEEE
series IEEE Access
issn 2169-3536
publishDate 2018-01-01
description In this paper, we propose a novel sparse signal representation (SSR)-based algorithm called the <inline-formula> <tex-math notation="LaTeX">$\ell _{1}$ </tex-math></inline-formula>-PSRCM with cocentered orthogonal loop and dipole (COLD) array to estimate two-dimensional (2D) direction of arrival (DOA) and polarization parameters. Considering the characteristics of polarization sensors, a polarized sparse representation model of covariance matrix is constructed, whose overcomplete dictionary and sparse coefficient matrix only depend on DOA and polarization parameters, respectively. In so doing, the proposed algorithm can make full use of the spatial and polarized information contained in the received data, thereby improving the estimation accuracy. In addition, to reduce the computational complexity and suppress the effect of noise, the modified <inline-formula> <tex-math notation="LaTeX">$\ell _{1}$ </tex-math></inline-formula>-PSRCM algorithm with the real-valued sparse coefficient matrix and noise-free sparse representation model is proposed. Finally, we present the two-dimensional multiresolution grid refinement (2D-MGR) method to reduce the heavy computation burden when the spatial grid is dense. Simulation results validate the superiority of the proposed algorithms.
topic Direction of arrival
ℓ⠁-norm penalty
polarization sensitive array
signal processing
spares signal representation
two-dimensional multi-resolution grid refinement
url https://ieeexplore.ieee.org/document/8519728/
work_keys_str_mv AT weijiansi 2ddoaandpolarizationestimationusinganovelsparserepresentationofcovariancematrixwithcoldarray
AT yanwang 2ddoaandpolarizationestimationusinganovelsparserepresentationofcovariancematrixwithcoldarray
AT chunjiezhang 2ddoaandpolarizationestimationusinganovelsparserepresentationofcovariancematrixwithcoldarray
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