A phase noise model to improve the frequency stability of ultra stable oscillator

Author

Mourey, Marc ; Galliou, Serge ; Besson, Raymond J.

Author_Institution

Lab. de Chronometrie, Electron. et Piezoelectr., Ecole Nat. Superieure de Mecanique et des Microtech., Besancon, France

fYear

1997

fDate

28-30 May 1997

Firstpage

502

Lastpage

508

Abstract

The goal of this study is to set up an improved model of the frequency stability behavior of the oscillating loop. A computer aided analysis is performed in which the transfer functions of the loop can be entirely described. This allows to predict phase noise performance of a given design. As a result the model provides ultimate limits of an oscillator concerning f⁰, f^-1, f^-3 and f^-4 phase noise versus the quartz resonator parameters for a given electronics noise. The model can also be used the opposite way to determine electronics noise for desired performances of an oscillator. Basic definitions are first recalled. The paper includes a description of the improved model that we developed starting from the Leeson´s model. This improved model is in good agreement with experimental results obtained from 10 MHz crystal oscillators with SC cut quartz resonator

Keywords

Fourier transforms; circuit analysis computing; crystal oscillators; feedback oscillators; frequency stability; numerical analysis; phase modulation; transfer functions; 10 MHz; Leeson´s model; SC cut quartz resonator; computer aided analysis; crystal oscillators; electronics noise; frequency stability; improved model; oscillating loop; phase noise; phase noise model; quartz resonator parameters; transfer functions; ultra stable oscillator; Autocorrelation; Equations; Fluctuations; Fourier transforms; Frequency; Low-frequency noise; Oscillators; Phase noise; Stability; Transfer functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control Symposium, 1997., Proceedings of the 1997 IEEE International

Conference_Location

Orlando, FL

Print_ISBN

0-7803-3728-X

Type

conf

DOI

10.1109/FREQ.1997.638650

Filename

638650