Article

Validated analysis of modulated signals: From de Prony to Padé and beyond

Details

Citation

Cuyt A, Hou Y & Lee W (2022) Validated analysis of modulated signals: From de Prony to Padé and beyond. Journal of Computational and Applied Mathematics, 413, Art. No.: 114346. https://doi.org/10.1016/j.cam.2022.114346

Abstract
The spectral analysis of modulated signals has attracted quite some research, mainly because of the fact that Fourier methods are not particularly suitable. Among the challenges, we mention the separation of close components that differ significantly in magnitude, the limitation of the sampling duration, the probable ill-conditioning of certain structured matrices. We show how a validated exponential analysis add-on, for use with any standard exponential analysis method, offers a lot of advantages in the context of these challenges. The add-on uses an alias-free decimation technique and essentially combines the basics of de Prony’s method for exponential fitting with the theory of Padé approximation theory.

Keywords
Exponential analysis; Modulation; Validation; Prony polynomial; Padé approximant; Froissart doublet

Journal
Journal of Computational and Applied Mathematics: Volume 413

StatusPublished
FundersThe Carnegie Trust
Publication date31/10/2022
Publication date online30/04/2022
Date accepted by journal22/03/2022
URLhttp://hdl.handle.net/1893/34442
PublisherElsevier BV
ISSN0377-0427

People (1)

People

Dr Wen-shin Lee
Dr Wen-shin Lee

Lecturer, Computing Science and Mathematics - Division

Projects (1)