Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems

The aim of this contribution is to present an approach that allows to improve the quality of the reconstruction of the far-field from a small number of measured samples by means of sparse recovery using a relatively coarse grid for source positions (with sample spacing of the order of <inline-for...

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Autores principales:	Daniele Pinchera, Marco Donald Migliore
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	antenna arrays sparse arrays compressive sensing signal processing inverse scattering Electronics TK7800-8360
Acceso en línea:	https://doaj.org/article/4804501b08314a779039cf73e6f15364
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spelling	oai:doaj.org-article:4804501b08314a779039cf73e6f153642021-11-25T17:25:21ZAccurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems10.3390/electronics102228542079-9292https://doaj.org/article/4804501b08314a779039cf73e6f153642021-11-01T00:00:00Zhttps://www.mdpi.com/2079-9292/10/22/2854https://doaj.org/toc/2079-9292The aim of this contribution is to present an approach that allows to improve the quality of the reconstruction of the far-field from a small number of measured samples by means of sparse recovery using a relatively coarse grid for source positions (with sample spacing of the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mn>8</mn></mrow></semantics></math></inline-formula>) compared to the grid usually required. In particular, the iterative method proposed employs a smooth-weighted constrained minimization, that guarantees a better probability of correct estimate of the sparse sources and an improved quality in the reconstruction, with a similar computational effort respect to the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℓ</mo><mn>1</mn></msub></semantics></math></inline-formula> re-weighted minimization approach.Daniele PincheraMarco Donald MiglioreMDPI AGarticleantenna arrayssparse arrayscompressive sensingsignal processinginverse scatteringElectronicsTK7800-8360ENElectronics, Vol 10, Iss 2854, p 2854 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	antenna arrays sparse arrays compressive sensing signal processing inverse scattering Electronics TK7800-8360
spellingShingle	antenna arrays sparse arrays compressive sensing signal processing inverse scattering Electronics TK7800-8360 Daniele Pinchera Marco Donald Migliore Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems
description	The aim of this contribution is to present an approach that allows to improve the quality of the reconstruction of the far-field from a small number of measured samples by means of sparse recovery using a relatively coarse grid for source positions (with sample spacing of the order of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>λ</mi><mo>/</mo><mn>8</mn></mrow></semantics></math></inline-formula>) compared to the grid usually required. In particular, the iterative method proposed employs a smooth-weighted constrained minimization, that guarantees a better probability of correct estimate of the sparse sources and an improved quality in the reconstruction, with a similar computational effort respect to the standard <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mo>ℓ</mo><mn>1</mn></msub></semantics></math></inline-formula> re-weighted minimization approach.
format	article
author	Daniele Pinchera Marco Donald Migliore
author_facet	Daniele Pinchera Marco Donald Migliore
author_sort	Daniele Pinchera
title	Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems
title_short	Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems
title_full	Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems
title_fullStr	Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems
title_full_unstemmed	Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems
title_sort	accurate reconstruction of the radiation of sparse sources from a small set of near-field measurements by means of a smooth-weighted norm for cluster-sparsity problems
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/4804501b08314a779039cf73e6f15364
work_keys_str_mv	AT danielepinchera accuratereconstructionoftheradiationofsparsesourcesfromasmallsetofnearfieldmeasurementsbymeansofasmoothweightednormforclustersparsityproblems AT marcodonaldmigliore accuratereconstructionoftheradiationofsparsesourcesfromasmallsetofnearfieldmeasurementsbymeansofasmoothweightednormforclustersparsityproblems
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Accurate Reconstruction of the Radiation of Sparse Sources from a Small Set of Near-Field Measurements by Means of a Smooth-Weighted Norm for Cluster-Sparsity Problems

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