Is the Frequency Noise of an Oscillator of Deterministic Origin?

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

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.

© 1996, by The Institute of Electrical and Electronics Engineers, Inc. All rights reserved.

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