- 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 and 28: xx Iin,sec Ileak In-phase component
- Page 29 and 30: xxii RB RCOMP Rcorr Reff R f RGM Re
- 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: 6 Introduction mary resonator excit
- Page 47 and 48: 10 Micromechanical Gyroscopes be wr
- Page 49 and 50: 12 Micromechanical Gyroscopes how t
- Page 51 and 52: 14 Micromechanical Gyroscopes for V
- Page 53 and 54: 16 Micromechanical Gyroscopes z’
- Page 55 and 56: 18 Micromechanical Gyroscopes Non-p
- Page 57 and 58: 20 Micromechanical Gyroscopes cause
- Page 59 and 60: 22 Micromechanical Gyroscopes Sensi
- Page 61 and 62: 24 Micromechanical Gyroscopes onato
- Page 63 and 64: 26 Micromechanical Gyroscopes strat
- Page 65 and 66: 28 Micromechanical Gyroscopes sacri
- Page 67 and 68: 30 Micromechanical Gyroscopes menta
- Page 69 and 70: 32 Micromechanical Gyroscopes The x
- Page 71 and 72: 34 Micromechanical Gyroscopes Figur
- Page 73 and 74: 36 Micromechanical Gyroscopes Figur
- Page 75 and 76: 38 Micromechanical Gyroscopes Figur
- Page 77 and 78: 40 Micromechanical Gyroscopes The s
- Page 79 and 80: La: Lateral, movement along the sub
- Page 81 and 82: 44 Micromechanical Gyroscopes The d
- Page 83 and 84: 7) Single-axis gyroscope & accelero
- Page 85 and 86: 14) Specified as peak-to-peak noise
- Page 87 and 88: 50 Synchronous Demodulation F y,all
- Page 89 and 90: 52 Synchronous Demodulation Now, th
- Page 91 and 92: 54 Synchronous Demodulation Similar
- Page 93 and 94: 56 Synchronous Demodulation Gain (
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58 Synchronous Demodulation at the
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60 Synchronous Demodulation 3.4 Non
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62 Synchronous Demodulation signal
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64 Synchronous Demodulation bandwid
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Chapter 4 Primary Resonator Excitat
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4.1 Electrostatic (Capacitive) Actu
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4.1 Electrostatic (Capacitive) Actu
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4.1 Electrostatic (Capacitive) Actu
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4.2 Dynamics of Excitation 75 H x/F
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4.3 Digital Techniques in Primary R
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4.3 Digital Techniques in Primary R
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4.4 Discussion 81 DAC output (V) DA
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4.4 Discussion 83 DAC output (dBc)
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Chapter 5 Compensation of Mechanica
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5.1 Compensation Methods 87 Uncompe
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5.2 Control Loops for Quadrature Si
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5.2 Control Loops for Quadrature Si
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5.2 Control Loops for Quadrature Si
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5.3 Discussion 95 5.3 Discussion In
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98 Zero-Rate Output The contributio
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100 Zero-Rate Output Various ways t
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102 Zero-Rate Output 6.1.4 Direct E
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104 Zero-Rate Output where ηI and
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106 Zero-Rate Output where it has a
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108 Zero-Rate Output The equation s
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Chapter 7 Capacitive Sensor Readout
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7.1 Effects of Electrostatic Forces
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7.1 Effects of Electrostatic Forces
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7.2 Continuous-Time Front-Ends 117
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7.2 Continuous-Time Front-Ends 119
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7.2 Continuous-Time Front-Ends 121
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7.2 Continuous-Time Front-Ends 123
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7.3 Switched-Capacitor Discrete-Tim
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7.3 Switched-Capacitor Discrete-Tim
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7.3 Switched-Capacitor Discrete-Tim
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7.3 Switched-Capacitor Discrete-Tim
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7.3 Switched-Capacitor Discrete-Tim
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7.3 Switched-Capacitor Discrete-Tim
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7.3 Switched-Capacitor Discrete-Tim
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7.4 Discussion 139 As described at
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Chapter 8 Implementation A prototyp
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8.1 Sensor Element 143 detection of
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Figure 8.4 A block diagram of the i
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8.2 System Design 147 By setting fs
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8.2 System Design 149 resonator to
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8.2 System Design 151 By combining
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8.2 System Design 153 In the presen
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8.3 Sensor Readout Electronics 155
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8.3 Sensor Readout Electronics 157
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8.3 Sensor Readout Electronics 159
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8.3 Sensor Readout Electronics 161
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8.3 Sensor Readout Electronics 163
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8.3 Sensor Readout Electronics 165
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8.3 Sensor Readout Electronics 167
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8.3 Sensor Readout Electronics 169
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8.3 Sensor Readout Electronics 171
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8.3 Sensor Readout Electronics 173
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8.4 Other Analog Circuit Blocks 175
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8.4 Other Analog Circuit Blocks 177
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8.4 Other Analog Circuit Blocks 179
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8.4 Other Analog Circuit Blocks 181
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8.5 Digital Signal Processing 183 b
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8.5 Digital Signal Processing 185 T
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8.6 Experimental Results 187 Noise
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8.6 Experimental Results 189 Correc
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8.6 Experimental Results 191 r.m.s.
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8.6 Experimental Results 193 The re
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8.6 Experimental Results 195 Eq. (6
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8.6 Experimental Results 197 this c
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8.6 Experimental Results 199 Output
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8.6 Experimental Results 201 Allan
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Chapter 9 Conclusions and Future Wo
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power-up to the point where the sen
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208 Bibliography [9] R. Neul, U.-M.
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210 Bibliography [31] L. Meirovitch
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212 Bibliography [55] M. Lemkin and
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214 Bibliography [78] A. Thomae, R.
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216 Bibliography [100] R. Schreier
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218 Bibliography [124] C. Hierold,
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220 Bibliography [149] E. B. Hogena
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222 Effect of Nonlinearities First,
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224 Effect of Nonlinearities + 3B3
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226 Effect of Nonlinearities and re
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228 Effect of Mechanical-Thermal No
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Appendix C Parallel-Plate Actuator
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Appendix D Noise Properties of SC R
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are shown in Fig. D.2. With the sam
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then the last two terms are not cor
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Appendix E Photograph of the Sensor
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ISBN 978-951-22-9296-7 ISBN 978-951