system and circuit design for a capacitive mems gyroscope - Aaltodoc

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mx my Vibrating mass in the x-direction Vibrating mass in the y-direction n Arbitrary integer, > 0 N Word length at the output of the readout circuit Nbits ngap ns Nstages Number of output bits from an ADC Number of horizontal gaps in a comb-drive actuator Sample index Number of stages in a charge pump P Number of bits truncated inside the noise-shaping loop ppm Parts per million, 10 −6 Q Quality factor, Q = √ km/D; charge Qin,sec Qin,sec xxi Quadrature component of the input of the synchronous demodulator in the secondary resonator readout Quadrature component of the input of the synchronous demodulator in the secondary resonator readout, normal- ized with respect to the primary signal Qout,pri, Qout,pri(t) Quadrature component of the output of the synchronous demodulator in the primary resonator readout Qout,sec, Qout,sec(t) Quadrature component of the output of the synchronous Qout,sec,n Qx Qy R Resistance demodulator in the secondary resonator readout Spectral density of the mechanical-thermal noise in the quadrature component of the output after demodulation Quality factor of the x-directional resonator Quality factor of the y-directional resonator r,r Radius, position vector r ′ Position vector in a rotating frame of reference
xxii RB RCOMP Rcorr Reff R f RGM Resistance through which the sensor middle electrode is biased Hysteresis-providing resistor in the comparator of CCO Correlation coefficient Effective resistance Feedback resistance Ratio between voltage and current in the transconduc- tance amplifier in VCO s Laplace variable. For real frequencies, s = jω t Time T Absolute temperature Td Ts Delay V Voltage Sampling period, Ts = 1/ fs v,v Velocity, v = ˙x v ′ Velocity of a particle in a rotating frame of reference VAC VB VBIAS VC1, VC2 Ac voltage Detection bias Biasing voltage Control voltages in an MRC Vc,cm(t) Common-mode component of a balanced carrier Vc,diff(t) Differential-mode component of a balanced carrier VCM VCMFB VCMIN VCT RL Target common-mode voltage Output voltage from the CMFB circuit Input common-mode level in a CSA VCO control voltage
Page 1 and 2: TKK Dissertations 116 Espoo 2008 SY
Page 3 and 4: Distribution: Helsinki University o
Page 6: VÄITÖSKIRJAN TIIVISTELMÄ TEKNILL
Page 9 and 10: ii introduced on a more general lev
Page 11 and 12: iv Muut tarvittavat piirilohkot - k
Page 13 and 14: vi I would like to express my grati
Page 15 and 16: viii 2.4.3 Single- and Two-Chip Imp
Page 17 and 18: x 8.4.2 High-Voltage DAC . . . . .
Page 19 and 20: xii ΔVDC ε0 εr ζI, ζQ ηI, ηQ
Page 21 and 22: xiv ω0y ωc ωcw ωe ωexc ωUGF
Page 23 and 24: xvi Cn,sw,rms COX CP Cpar Input-ref
Page 25 and 26: xviii G V/Ω G V/x G V/y G y/Ω G y
Page 27: xx Iin,sec Ileak In-phase component
Page 31 and 32: xxiv Vin,sec,de(t) Output of the se
Page 33 and 34: xxvi AGC Automatic Gain Control ALC
Page 35 and 36: xxviii ICMR Input Common-Mode Range
Page 37 and 38: xxx VRG Vibrating Ring Gyroscope XO
Page 39 and 40: 2 Introduction with more details in
Page 41 and 42: 4 Introduction effect couples vibra
Page 43 and 44: 6 Introduction mary resonator excit
Page 46 and 47: Chapter 2 Micromechanical Gyroscope
Page 48 and 49: 2.1 Operation of a Vibratory Microg
Page 60 and 61: 2.2 Mechanical-Thermal Noise 23 2.1
Page 62 and 63: 2.3 Excitation and Detection 25 req
Page 64 and 65: 2.4 Manufacturing Technologies 27 b
Page 66 and 67: 2.4 Manufacturing Technologies 29 E
Page 68 and 69: 2.5 Published Microgyroscopes 31 2.
Page 70 and 71: 2.5 Published Microgyroscopes 33 gy
Page 72 and 73: 2.5 Published Microgyroscopes 35 te
Page 74 and 75: 2.5 Published Microgyroscopes 37 th
Page 76 and 77: 2.5 Published Microgyroscopes 39 el
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2.5 Published Microgyroscopes 41 ar
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2.6 Commercially Available Microgyr
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1) User-selectable 2) Specified for
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12) Device has both analog and digi
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Chapter 3 Synchronous Demodulation
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3.1 Demodulation in Ideal Case 51 3
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3.3 Secondary Resonator Transfer Fu
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3.4 Nonlinearities in Displacement-
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3.5 Mechanical-Thermal Noise 63 Fig
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3.7 Discussion 65 non-idealities we
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68 Primary Resonator Excitation dis
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70 Primary Resonator Excitation The
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72 Primary Resonator Excitation and
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74 Primary Resonator Excitation 4.2
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76 Primary Resonator Excitation * H
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78 Primary Resonator Excitation dis
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80 Primary Resonator Excitation res
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82 Primary Resonator Excitation DAC
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84 Primary Resonator Excitation ac
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86 Compensation of Mechanical Quadr
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Figure 5.6 A feedback loop with Σ
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Chapter 6 Zero-Rate Output The zero
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6.1 Sources of Zero-Rate Output 99
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6.2 Effects of Synchronous Demodula
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6.3 Effects of Quadrature Compensat
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6.5 Discussion 109 source in the el
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112 Capacitive Sensor Readout Typic
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114 Capacitive Sensor Readout 7.1.1
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116 Capacitive Sensor Readout stati
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118 Capacitive Sensor Readout corre
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120 Capacitive Sensor Readout examp
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122 Capacitive Sensor Readout large
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124 Capacitive Sensor Readout DC an
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126 Capacitive Sensor Readout (a)
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128 Capacitive Sensor Readout In th
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130 Capacitive Sensor Readout suffi
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132 Capacitive Sensor Readout (a)
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134 Capacitive Sensor Readout negli
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136 Capacitive Sensor Readout reset
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138 Capacitive Sensor Readout incre
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140 Capacitive Sensor Readout is co
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142 Implementation such a way that
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144 Implementation 8.2 System Desig
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146 Implementation 8.2.1 Sensor Rea
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148 Implementation together with th
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150 Implementation approach require
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152 Implementation used for clock g
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154 Implementation Because of the d
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156 Implementation plied from the C
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158 Implementation of a PMOS transi
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160 Implementation R eff (MΩ) 1000
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162 Implementation R eff (MΩ) 1000
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164 Implementation effective resist
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166 Implementation is applied to th
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168 Implementation ther differences
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170 Implementation (a) (b) (c) V in
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172 Implementation V inp V inn V C2
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174 Implementation (a) -z -2 z -1 1
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Figure 8.19 Schematic of the implem
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178 Implementation teresis are equa
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180 Implementation From the silicon
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182 Implementation V inp V inn C 1p
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184 Implementation as an XOR operat
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186 Implementation triggered by the
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188 Implementation Θ 1 (°) 2.5 2
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190 Implementation R.m.s. noise (dB
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192 Implementation Quadrature outpu
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194 Implementation Signal (dBFS)
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196 Implementation itor towards gro
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198 Implementation Finally, the mea
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200 Implementation Root Allan varia
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202 Implementation Technology Table
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204 Conclusions and Future Work usi
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Bibliography [1] H. C. Nathanson an
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Bibliography 209 [20] L. Aaltonen,
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Bibliography 211 [45] J. M. Bustill
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Bibliography 213 [68] B. V. Amini,
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Bibliography 215 [88] S. R. Zarabad
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Bibliography 217 [113] Z. Y. Chang
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Bibliography 219 [138] ——, “N
Page 258 and 259:
Appendix A Effect of Nonlinearities
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+ 3ABD · sin((ω0x − 2ωΩ)t + 2
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+ 3BC2 · cos((3ω0x + ωΩ)t − T
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Appendix B Effect of Mechanical-The
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lowing an identical path, the power
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232 Parallel-Plate Actuator with Vo
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234 Noise Properties of SC Readout
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Page 275 and 276:
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Appendix F Microphotograph of the I
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system and circuit design for a capacitive mems gyroscope - Aaltodoc

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