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



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.

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.

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

Journal of Computational and Applied Mathematics: Volume 413

FundersThe Carnegie Trust
Publication date31/10/2022
Publication date online30/04/2022
Date accepted by journal22/03/2022
PublisherElsevier BV

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Dr Wen-shin Lee
Dr Wen-shin Lee

Lecturer, Computing Science and Mathematics - Division

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