Gibbs-like phenomena in chaos-based frequency modulated signals

Stefano Santi; Riccardo Rovatti; Gianluca Setti

Gibbs-like phenomena in chaos-based frequency modulated signals

Stefano Santi, Riccardo Rovatti, Gianluca Setti

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

This paper investigates the problem of spectral singularities in frequency modulated signals where the modulating signal is a chaotic PAM. We analyze the properties of the spectrum when the duration of the pulses of modulating signal tends to inanity, in order to exclude the presence of any kind of periodicity. Such a spectrum is analytically known for all frequencies with the exception of a countable number of points, at which Gibbs-like peaks are nevertheless highlighted by simulations and measurements. We here concentrate on these points, and prove their link with the underlying chaotic dynamic giving also a method to approximate their height.

Original language	English (US)
Title of host publication	Proceedings - IEEE International Symposium on Circuits and Systems
State	Published - Jul 14 2003
Externally published	Yes

Bibliographical note

Generated from Scopus record by KAUST IRTS on 2023-02-15

Cite this

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N2 - This paper investigates the problem of spectral singularities in frequency modulated signals where the modulating signal is a chaotic PAM. We analyze the properties of the spectrum when the duration of the pulses of modulating signal tends to inanity, in order to exclude the presence of any kind of periodicity. Such a spectrum is analytically known for all frequencies with the exception of a countable number of points, at which Gibbs-like peaks are nevertheless highlighted by simulations and measurements. We here concentrate on these points, and prove their link with the underlying chaotic dynamic giving also a method to approximate their height.

AB - This paper investigates the problem of spectral singularities in frequency modulated signals where the modulating signal is a chaotic PAM. We analyze the properties of the spectrum when the duration of the pulses of modulating signal tends to inanity, in order to exclude the presence of any kind of periodicity. Such a spectrum is analytically known for all frequencies with the exception of a countable number of points, at which Gibbs-like peaks are nevertheless highlighted by simulations and measurements. We here concentrate on these points, and prove their link with the underlying chaotic dynamic giving also a method to approximate their height.

UR - http://www.scopus.com/inward/record.url?scp=17344378654&partnerID=8YFLogxK

M3 - Conference contribution

BT - Proceedings - IEEE International Symposium on Circuits and Systems

ER -

Gibbs-like phenomena in chaos-based frequency modulated signals

Abstract

Bibliographical note

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