A Unified Method for the Analysis of Phase and Amplitude Noise in Electrical Oscillators

Author

Maffezzoni, Paolo ; Pepe, Federico ; Bonfanti, Andrea

Author_Institution

Politec. di Milano, Milan, Italy

Volume

61

Issue

9

fYear

2013

fDate

Sept. 2013

Firstpage

3277

Lastpage

3284

Abstract

This paper describes a unified method to quantify and compare amplitude and phase noise induced by white and colored noise sources in electrical oscillators. The proposed approach relies on the Floquet theory of linear time-varying systems and on the application of averaging techniques to simplify the stochastic equations. Closed-form expressions for the phase and amplitude power spectrum are provided. These results are validated via comparisons with SpectreRF simulations and measurements.

Keywords

circuit simulation; oscillators; phase noise; stochastic processes; time-varying systems; white noise; Floquet theory; SpectreRF simulation; amplitude noise; amplitude power spectrum; closed-form expression; colored noise source; electrical oscillator; linear time-varying system; phase noise; phase power spectrum; stochastic equation; white noise source; Differential equations; Equations; Mathematical model; Noise; Oscillators; Stochastic processes; Vectors; Amplitude noise; oscillators; phase noise; stochastic equations;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/TMTT.2013.2273765

Filename

6575184