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.
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.
Actions (login required)