Output voltage analysis for the MOS Colpitts oscillator

An analysis of the MOS Colpitts oscillator is presented that includes MOSFET operation in the cutoff linear, and saturation regions of operation. The steady-state output voltages calculated from this analysis are in excellent agreement with SPICE3 simulations for a wide range of circuit parameters. An application of this analysis to the synthesis of a Colpitts oscillator design is also provided.