Analysis and measurement of the stability of dual-resonator oscillators

Abstract

This paper investigates the stability of oscillators with dual-resonating tanks. After deriving oscillator models, it is shown that contrary to prior belief, there can be only one stable oscillating state. Sufficient conditions for stable oscillating states are derived and silicon measurement results are used to prove their validity. A fully integrated transmitter for intraocular pressure sensing that leverages the dual-resonator tank is designed and fabricated based on the derived models. An unstable version of the transmitter is also demonstrated to prove the concept of instability in dual-resonator oscillators..