Periodic Steady-State Analysis of Oscillators with a Specified Oscillation Frequency

In this paper a modification of the time-domain periodic steady-state analysis for oscillators is presented. The proposed analysis finds the value of a circuit parameter that results in the circuit oscillating at a desired frequency. This analysis is based on the steady-state analysis for voltage and current controlled oscillators, i.e., replacing the oscillation period by a circuit parameter in the list of unknowns. A generalized formulation that can handle a control voltage or current, as well as any frequency-tuning circuit parameter, such as a tank capacitor or device geometry is developed in this paper.