The Quadrature LC Oscillator: A Complete Portrait Based on Injection Locking

Author

Mirzaei, Ahmad ; Heidari, Mohammad E. ; Bagheri, Rahim ; Chehrazi, Saeed ; Abidi, Asad A.

Author_Institution

Broadcom Corp., Irvine

Volume

42

Issue

9

fYear

2007

Firstpage

1916

Lastpage

1932

Abstract

We show that the quadrature LC oscillator is best treated as two strongly coupled, nominally identical oscillators that are locked to the same frequency. Differential equations that extend Adler´s description of locking to strong injection reveal the full dynamics of this circuit. With a simplifying insight, the analysis reveals all the modes of the oscillator, their stability, the effects of mismatch on quadrature phase accuracy, and through a novel use of the analysis, phase noise.

Keywords

differential equations; injection locked oscillators; radiofrequency oscillators; complete portrait; differential equations; injection locking; quadrature LC oscillator; quadrature phase accuracy; strong injection; 1f noise; Circuit stability; Coupling circuits; Differential equations; Injection-locked oscillators; Phase noise; Radio frequency; Stability analysis; Steady-state; Voltage-controlled oscillators; Adler´s equation; CMOS; RF transceiver; flicker noise; frequency synthesizer; injection locking; oscillator; phase noise; qudarature signals; voltage-controlled oscillator (VCO); white noise;

fLanguage

English

Journal_Title

Solid-State Circuits, IEEE Journal of

Publisher

ieee

ISSN

0018-9200

Type

jour

DOI

10.1109/JSSC.2007.903047

Filename

4295200