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Start-up criteria in harmonic oscillators are explored. Conventional criteria for start-up prediction are shown to be necessary but not always sufficient for high-frequency oscillators, due to the effects of parasitic elements. Design methods are derived to allow design of reliable oscillators with a well-defined frequency of oscillation. The theory is confirmed with the design, fabrication, and characterization of a 2-GHz monolithic LC oscillator.>
Nguyen et al. (Fri,) studied this question.