Bifurcation analysis of on-chip LC VCOs

Author

Prochaska, Marcus ; Belski, Alexander ; Mathis, Wolfgang

Author_Institution

Inst. of Electromagn. Theor. & Microwave Technol., Hannover Univ., Germany

fYear

2005

fDate

23-26 May 2005

Firstpage

5445

Abstract

Since the beginning of the last century, the problem of oscillator circuit design is a main subject for analog circuit designers. In recent years, the study of differential VCOs has received attention because of their importance in a number of applications. We present an analysis of the steady state oscillation of integrated differential VCOs which is based on a nonlinear model of the oscillator. Starting from the Andronov Hopf theorem, we analyze the stability and we also apply methods to predict the amplitude.

Keywords

analogue integrated circuits; bifurcation; circuit analysis computing; circuit stability; equivalent circuits; integrated circuit design; integrated circuit modelling; nonlinear network analysis; voltage-controlled oscillators; Andronov Hopf theorem; amplitude prediction; analog circuit design; bifurcation analysis; equivalent circuit; integrated differential VCO; nonlinear model; on-chip LC VCO; oscillator circuit design; stability; Bifurcation; Circuits; Eigenvalues and eigenfunctions; Limit-cycles; Microwave technology; Microwave theory and techniques; Nonlinear dynamical systems; Stability analysis; Steady-state; Voltage-controlled oscillators;

fLanguage

English

Publisher

ieee

Conference_Titel

Circuits and Systems, 2005. ISCAS 2005. IEEE International Symposium on

Print_ISBN

0-7803-8834-8

Type

conf

DOI

10.1109/ISCAS.2005.1465868

Filename

1465868