Polynomial-exponential 2D data models, Hankel-block-Hankel matrices and zero-dimensional ideals
Polynomial-exponential 2D data models, Hankel-block-Hankel matrices and zero-dimensional ideals
Subspace-based methods are popular for analysis of two-dimensional data that can be modeled by sums of polynomially modulated exponential (or “polynomial-exponential”) functions. In this paper we touch some problems concerning rank properties of Hankel-block-Hankel matrices, which are used in subspace-based methods. We review the correspondence between polynomial-exponential functions and zero-dimensional ideals. Then we demonstrate the usefulness of this correspondence for the problems being considered.
Usevich, Konstantin
1ab9effb-9945-40b6-94d7-f94dd0339110
April 2011
Usevich, Konstantin
1ab9effb-9945-40b6-94d7-f94dd0339110
Usevich, Konstantin
(2011)
Polynomial-exponential 2D data models, Hankel-block-Hankel matrices and zero-dimensional ideals.
Polynomial Computer Algebra, Euler International Mathematical Institute, Saint Petersburg, Russia.
18 - 22 Apr 2011.
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Conference or Workshop Item
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Abstract
Subspace-based methods are popular for analysis of two-dimensional data that can be modeled by sums of polynomially modulated exponential (or “polynomial-exponential”) functions. In this paper we touch some problems concerning rank properties of Hankel-block-Hankel matrices, which are used in subspace-based methods. We review the correspondence between polynomial-exponential functions and zero-dimensional ideals. Then we demonstrate the usefulness of this correspondence for the problems being considered.
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usevich_pca11.pdf
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Published date: April 2011
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Event Dates: 18-22 April
Venue - Dates:
Polynomial Computer Algebra, Euler International Mathematical Institute, Saint Petersburg, Russia, 2011-04-18 - 2011-04-22
Organisations:
Southampton Wireless Group
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Local EPrints ID: 273002
URI: http://eprints.soton.ac.uk/id/eprint/273002
PURE UUID: 36f7c037-5aee-44eb-a829-37083a1a5160
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Date deposited: 15 Nov 2011 21:34
Last modified: 14 Mar 2024 10:15
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Author:
Konstantin Usevich
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