This paper describes the oscillation for a novel silicon microelectromechanical systems (MEMS) resonator which utilizes the torsional-to-transverse vibration conversion with quarter-wavelength torsional support beams. A fabricated 0.1-µm-gap resonator was measured with a laser-Doppler (LD) vibrometer to have a resonant frequency of 78.518 MHz and the Q-factor of 8.5 × 10
3 in vacuum. The electrical characteristic evaluated with a network analyzer for the resonator showed the electrical transmission (
S21) and the phase shift of -42.7 dB and 12 degrees, respectively. Such a large insertion loss and small phase shift shows the need of compensation circuit to achieve the oscillation. We fabricate oscillation circuits and evaluate each component: i) In order to increase the phase shift, a
C0 compensation technique is used to cancel feedthrough current in the resonator. This compensation technique has provided the increase of the phase shift, 70 degrees; ii) A voltage follower circuit is adapted to convert the resonator impedance, alleviating mismatch loss and thus providing the increase in the transmission of the signal up to -17.4 dB; iii) An inverter amplifier is used to amplify this signal. With a loop of these circuits with the resonator, the oscillation utilizing the torsional-to-transverse vibration conversion has successfully been achieved for the first time. The measured phase noise of the oscillator at 1 kHz offset from the carrier has been -101 dBc/Hz.
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