Analysis and measurement of the stability of dual-resonator oscillators

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..

[1]  A. Goel,et al.  Frequency Switching in Dual-Resonance Oscillators , 2007, IEEE Journal of Solid-State Circuits.

[2]  B. van der Pol,et al.  The Nonlinear Theory of Electric Oscillations , 1934, Proceedings of the Institute of Radio Engineers.

[3]  B. V. D. Pol The Nonlinear Theory of Electric Oscillations , 1934 .

[4]  B.-U. Klepser,et al.  A highly integrated, dual-band, multi-mode wireless LAN transceiver , 2003, ESSCIRC 2004 - 29th European Solid-State Circuits Conference (IEEE Cat. No.03EX705).

[5]  David Blaauw,et al.  Circuits for a Cubic-Millimeter Energy-Autonomous Wireless Intraocular Pressure Monitor , 2011, IEEE Transactions on Circuits and Systems I: Regular Papers.

[6]  D. Leeson A simple model of feedback oscillator noise spectrum , 1966 .

[7]  Carlo Samori,et al.  5-GHz in-phase coupled oscillators with 39% tuning range , 2004, Proceedings of the IEEE 2004 Custom Integrated Circuits Conference (IEEE Cat. No.04CH37571).

[8]  David Blaauw,et al.  A cubic-millimeter energy-autonomous wireless intraocular pressure monitor , 2011, 2011 IEEE International Solid-State Circuits Conference.