Title :
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
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;
Journal_Title :
Solid-State Circuits, IEEE Journal of
DOI :
10.1109/JSSC.2007.903047
