Publication
Title
From exponential analysis to Padé approximation and Tensor decomposition, in one and more dimensions
Author
Abstract
Exponential analysis in signal processing is essentially what is known as sparse interpolation in computer algebra. We show how exponential analysis from regularly spaced samples is reformulated as Padé approximation from approximation theory and tensor decomposition from multilinear algebra. The univariate situation is briefly recalled and discussed in Sect. 1. The new connections from approximation theory and tensor decomposition to the multivariate generalization are the subject of Sect. 2. These connections immediately allow for some generalization of the sampling scheme, not covered by the current multivariate theory. An interesting computational illustration of the above in blind source separation is presented in Sect. 3.
Language
English
Source (journal)
Lecture notes in computer science. - Berlin, 1973, currens
Source (book)
CASC 2018 : Computer Algebra in Scientific Computing
Proceedings 20th International Workshop, CASC 2018, September 1721, 2018, Lille, France
Source (series)
Theoretical computer science and general issues ; 11077
Publication
Cham : Springer , 2018
ISBN
978-3-319-99638-7
Volume/pages
(2018) , p. 116-130
Full text (Publisher's DOI)
Full text (open access)
Full text (publisher's version - intranet only)
UAntwerpen
Faculty/Department
Research group
Project info
Sub-Nyquist underwater communication.
Publication type
Subject
Affiliation
Publications with a UAntwerp address
External links
Record
Identification
Creation 01.10.2018
Last edited 15.07.2021
To cite this reference