Online proceedings - EDA Publishing Association

The oscillator output phase noise calculated from the
Leeson formula is then:
S
2 2
1 ν
0 2 2en
Rm
f ) = 10log([1 ( ) ] )
2
2
(18)
f 2Q
V R
ϕ
( +
2
x f
11-13 May 2011, Aix-en-Provence, France
2. Flicker noise
The flicker_noise function is also added into the
transconductance amplifier plus pin. Flicker noise is directly
visible on the output phase noise. The results are consistent
with the Leeson effect.
IV. CONCLUSION AND FUTURE WORK
As a fundamental result, a MEMS oscillator model has been
developed using the multiphysics Verilog-A language. This
model includes the mechanical and piezoelectric equations,
and the electronic circuitry. This description main asset lies in
allowing the study of critical parameters influencing
performances and especially the phase noise analysis.
This model will be used to compare the influence on phase
noise performances of different types of transduction (optical
and electrostatic…) and other types of oscillator circuits as
PLL oscillator circuit [7]. These values will also be compared
with experimental results obtained with MEMS oscillators.
REFERENCES
[1] O. Le Traon, “The VIA Vibrating Beam Accelerometer: Concept and
Performances”, Proceedings of the PLAN Symposium, 1998.
[2] O. Le Traon, D. Janiaud, M. Pernice, S. Masson, S. Muller, J-Y
Tridera, “A New Quartz Monolithic Differential Vibrating Beam
Accelerometer”, Position, Location, And Navigation Symposium, pp.6-15,
2006
[3] Loreto Rodríguez-Pardo, “Sensitivity, Noise, and Resolution
in QCM Sensors in Liquid Media”, IEEE Sensors Journal, vol.5, n°6, 2005
[4] O. Le Traon, “The VIA Vibrating Beam Accelerometer: Concept and
Performances”, Proceedings of the PLAN Symposium, 1998.
[5] D.B. Leeson “A simple model of feedback oscillator noise spectrum”,
Proceedings of the IEEE, vol. 54, issue 2, p. 329-330, 1966.
[6] E. Rubiola, R. Brendel “A generalization of the Leeson effect”,
arXiv:1004.5539 [physics.ins-det], April 2010.
[7] R. Levy, D. Janiaud, O. Le Traon, S. Muller, JP. Gilles, G. Raynaud,
“A new analog oscillator electronics applied to a piezoelectric
vibrating gyro”, Proceedings of the IEEE Frequency Control Symposium
pp.326-329, 2004
Author Biography:
Guillaume Papin is engineer from the ENSMM since 2010. He is currently a
PhD student at ONERA working on the development of multi-physic models
to improve phase noise performances of vibrating MEMS sensors.
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