Title :
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
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;
Conference_Titel :
Frequency Control Symposium, 1997., Proceedings of the 1997 IEEE International
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-3728-X
DOI :
10.1109/FREQ.1997.638650
