Title :
Nonlinear analysis of a Colpitts injection-locked frequency divider
Author :
Yodprasit, Uroschanit ; Enz, Christian C.
Author_Institution :
Electron. Lab., Swiss Fed. Inst. of Technol., Lausanne, Switzerland
Abstract :
An analysis of an injection-locked divide-by-N Colpitts frequency divider is proposed. An analytical model for fundamental locking and intermodulation (or superharmonic) locking (divide-by-2 operation) is derived based on Bessel functions to account for the exponential nonlinearity existing inside the divider. The analytical model matches the simulation results obtained from a BJT implementation. The proposed method can be extended to CMOS implementation utilizing MOS transistors operating in the weak-inversion region.
Keywords :
Bessel functions; bipolar transistor circuits; circuit simulation; frequency dividers; injection locked oscillators; nonlinear network analysis; BJT implementation; Bessel functions; Colpitts injection-locked frequency divider; Colpitts oscillator; divide-by-N Colpitts frequency divider; divider exponential nonlinearity; fundamental locking; intermodulation locking; nonlinear analysis; superharmonic locking; Analytical models; Circuits; Frequency conversion; Frequency synthesizers; Laboratories; MOSFETs; Output feedback; Radio frequency; Voltage; Voltage-controlled oscillators;
Conference_Titel :
Circuits and Systems, 2003. ISCAS '03. Proceedings of the 2003 International Symposium on
Print_ISBN :
0-7803-7761-3
DOI :
10.1109/ISCAS.2003.1205642