Polynomial-exponential 2D data models, Hankel-block-Hankel matrices and zero-dimensional ideals
Usevich, Konstantin (2011) Polynomial-exponential 2D data models, Hankel-block-Hankel matrices and zero-dimensional ideals. At Polynomial Computer Algebra, Euler International Mathematical Institute, Saint Petersburg, Russia, 18 - 22 Apr 2011.
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Description/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.
| Item Type: | Conference or Workshop Item (Speech) |
|---|---|
| Additional Information: | Event Dates: 18-22 April |
| Divisions: | Faculty of Physical and Applied Science > Electronics and Computer Science > Comms, Signal Processing & Control |
| Item ID: | 273002 |
| Date Deposited: | 15 Nov 2011 21:34 |
| Last Modified: | 01 Mar 2012 12:33 |
| Contributors: | Usevich, Konstantin (Author) |
| Date: | April 2011 |
| Additional Information: | Event Dates: 18-22 April |
| Status: | Published |
| Further Information: | Google Scholar |
| URI: | http://eprints.soton.ac.uk/id/eprint/273002 |
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