Is the frequency noise of an oscillator of deterministic origin?

Author

Planat, Michel ; Giordano, Vincent ; Marianneau, Gilles ; Vernotte, François ; Mourey, Marc ; Eckert, Caroline ; Miehé, Joseph A.

Author_Institution

CNRS, Univ. de Franche-Comte, Besancon, France

Volume

43

Issue

2

fYear

1996

fDate

3/1/1996 12:00:00 AM

Firstpage

326

Lastpage

330

Abstract

We report on a new multifractal type approach of low-frequency noise in oscillators. The time sequence is interrogated by means of a multiscale local stability exponent which acts in a sliding filtering window. Its discontinuities are reflected into a binary coding in which the correlations are analyzed. The mapping of binary data into a devil´s staircase is used to emphasize the correlated and possibly deterministic origin of frequency fluctuations in quartz oscillators.

Keywords

atomic clocks; crystal oscillators; electron device noise; flicker noise; fractals; shot noise; white noise; binary coding; binary data; correlations; deterministic origin; devil´s staircase; discontinuities; frequency fluctuations; frequency noise; low-frequency noise; multifractal type approach; multiscale local stability exponent; oscillator; quartz oscillators; sliding filtering window; time sequence; 1f noise; Clocks; Convergence; Floors; Fluctuations; Fractals; Frequency measurement; Low-frequency noise; Oscillators; Physics;

fLanguage

English

Journal_Title

Ultrasonics, Ferroelectrics, and Frequency Control, IEEE Transactions on

Publisher

ieee

ISSN

0885-3010

Type

jour

DOI

10.1109/58.485960

Filename

485960