Nonlinear analysis of high Q oscillator phase noise

Author

Goldberg, Jules

Author_Institution

Silicon Valley Eng., Santa Clara, CA, USA

fYear

1989

fDate

31 May-2 Jun 1989

Firstpage

63

Lastpage

74

Abstract

The effects of circuit noise on the high-Q oscillator were analyzed using a nonmeasurable function with nonmeasurable parameters. These parameters were eliminated, yielding a practical solution. This results acts like Leeson´s equation and reduces to it for the linear case. Noise effects are exacerbated by the interaction of the crystal and the circuit nonlinearities. The noise amplifier model proposed by various authors is shown to apply for almost linear circuits. Examples of diode-limited and AGC-limited oscillators are given. It is shown that for both oscillators, the main effects are near W₀. SPICE was used to calculate coefficients for the diode-limited case

Keywords

Q-factor; circuit analysis computing; crystal resonators; nonlinear network analysis; oscillators; random noise; AGC-limited oscillators; Leeson´s equation; SPICE; circuit noise; circuit nonlinearities; crystal; diode-limited case; high Q oscillator; noise amplifier model; phase noise; Additive noise; Circuit noise; Circuit simulation; Differential equations; Frequency; Noise figure; Nonlinear equations; Oscillators; Phase noise; RLC circuits;

fLanguage

English

Publisher

ieee

Conference_Titel

Frequency Control, 1989., Proceedings of the 43rd Annual Symposium on

Conference_Location

Denver, CO

Type

conf

DOI

10.1109/FREQ.1989.68837

Filename

68837