Joint Frequency and DOA Estimation with Automatic Pairing Using the Rayleigh–Ritz Theorem

Du, H; Gao, H; Jia, W

Joint Frequency and DOA Estimation with Automatic Pairing Using the Rayleigh–Ritz Theorem

Du, H Gao, H Jia, W

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Publisher:: Computers, Materials and Continua (Tech Science Press)
Publication Type:: Journal Article
Citation:: Computers, Materials and Continua, 2021, 67, (3), pp. 3907-3919
Issue Date:: 2021-03-01

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Field	Value	Language
dc.contributor.author	Du, H
dc.contributor.author	Gao, H
dc.contributor.author	Jia, W https://orcid.org/0000-0002-0940-3338
dc.date.accessioned	2022-07-04T01:57:22Z
dc.date.available	2022-07-04T01:57:22Z
dc.date.issued	2021-03-01
dc.identifier.citation	Computers, Materials and Continua, 2021, 67, (3), pp. 3907-3919
dc.identifier.issn	1546-2218
dc.identifier.issn	1546-2226
dc.identifier.uri	http://hdl.handle.net/10453/158588
dc.description.abstract	This paper presents a novel scheme for joint frequency and direction of arrival (DOA) estimation, that pairs frequencies and DOAs automatically without additional computations. First, when the property of the Kronecker product is used in the received array signal of the multiple-delay output model, the frequency-angle steering vector can be reconstructed as the product of the frequency steering vector and the angle steering vector. The frequency of the incoming signal is then obtained by searching for the minimal eigenvalue among the smallest eigenvalues that depend on the frequency parameters but are irrelevant to the DOAs. Subsequently, the DOA related to the selected frequency is acquired through some operations on the minimal eigenvector according to the Rayleigh–Ritz theorem, which realizes the natural pairing of frequencies and DOAs. Furthermore, the proposed method can not only distinguish multiple sources, but also effectively deal with other arrays. The effectiveness and superiority of the proposed algorithm are further analyzed by simulations.
dc.language	en
dc.publisher	Computers, Materials and Continua (Tech Science Press)
dc.relation.ispartof	Computers, Materials and Continua
dc.relation.isbasedon	10.32604/cmc.2021.015969
dc.rights	info:eu-repo/semantics/openAccess
dc.rights	This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
dc.subject	0103 Numerical and Computational Mathematics, 0912 Materials Engineering, 0915 Interdisciplinary Engineering
dc.subject.classification	Applied Mathematics
dc.title	Joint Frequency and DOA Estimation with Automatic Pairing Using the Rayleigh–Ritz Theorem
dc.type	Journal Article
utslib.citation.volume	67
utslib.for	0103 Numerical and Computational Mathematics
utslib.for	0912 Materials Engineering
utslib.for	0915 Interdisciplinary Engineering
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Strength - GBDTC - Global Big Data Technologies
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Electrical and Data Engineering
utslib.copyright.status	open_access	*
dc.date.updated	2022-07-04T01:57:20Z
pubs.issue	3
pubs.publication-status	Published
pubs.volume	67
utslib.citation.issue	3

Abstract:

This paper presents a novel scheme for joint frequency and direction of arrival (DOA) estimation, that pairs frequencies and DOAs automatically without additional computations. First, when the property of the Kronecker product is used in the received array signal of the multiple-delay output model, the frequency-angle steering vector can be reconstructed as the product of the frequency steering vector and the angle steering vector. The frequency of the incoming signal is then obtained by searching for the minimal eigenvalue among the smallest eigenvalues that depend on the frequency parameters but are irrelevant to the DOAs. Subsequently, the DOA related to the selected frequency is acquired through some operations on the minimal eigenvector according to the Rayleigh–Ritz theorem, which realizes the natural pairing of frequencies and DOAs. Furthermore, the proposed method can not only distinguish multiple sources, but also effectively deal with other arrays. The effectiveness and superiority of the proposed algorithm are further analyzed by simulations.

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http://hdl.handle.net/10453/158588