Time stability: An improvement of the multi-variance method for the oscillator noise analysis

Mathematics

Scientific paper

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Frequency Measurement, Frequency Stability, Mathematical Models, Multivariate Statistical Analysis, Noise Spectra, Time Measurement, Crystal Oscillators, Least Squares Method, Signal Analysis, Transfer Functions, White Noise

Scientific paper

A study attempting to improve the measurement accuracy in oscillator instabilities in order to better distinguish the different types of noises is presented. The different notions, tools, and mathematical models used in the frequency and time field are presented and the classical measurement method using one single variance is recalled. The multivariance method, based on the use of several variances, is described. An improvement of this multivariance method is proposed and the measurements accuracy of these methods compared.

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