R. JACOB (JAKE) BAKER, PhD, is an engineer, educator, and inventor. He has more than twenty years of engineering experience and holds over 200 granted or pending patents in integrated circuit design. Jake is the author of several circuit design books. For a detailed biography, please visit: http://CMOSedu.com/jbaker/jbaker.htm.
Preface | p. XV |
Signals, Filters, and Tools | p. 1 |
Sinusoidal Signals | p. 1 |
The Pendulum Analogy | p. 1 |
Describing Amplitude in the x-y Plane | p. 3 |
In-Phase and Quadrature Signals | p. 4 |
The Complex (z-) Plane | p. 6 |
Comb Filters | p. 8 |
The Digital Comb Filter | p. 11 |
The Digital Differentiator | p. 14 |
An Intuitive Discussion of the z-Plane | p. 15 |
Comb Filters with Multiple Delay Elements | p. 17 |
The Digital Integrator | p. 19 |
The Delaying Integrator | p. 20 |
An Important Note | p. 21 |
Representing Signals | p. 21 |
Exponential Fourier Series | p. 22 |
Fourier Transform | p. 23 |
Dirac Delta Function (Unit Impulse Response) | p. 23 |
Sampling and Aliasing | p. 27 |
Sampling | p. 28 |
Impulse Sampling | p. 28 |
A Note Concerning the AAF and the RCF | p. 30 |
Time Domain Description of Reconstruction | p. 31 |
An Important Note | p. 33 |
Decimation | p. 33 |
The Sample-and-Hold (S/H) | p. 35 |
S/H Spectral Response | p. 35 |
The Reconstruction Filter (RCF) | p. 39 |
Circuit Concerns for Implementing the S/H | p. 39 |
An Example | p. 40 |
The Track-and-Hold (T/H) | p. 41 |
Interpolation | p. 43 |
Zero Padding | p. 44 |
Hold Register | p. 46 |
Linear Interpolation | p. 49 |
K-Path Sampling | p. 50 |
Switched-Capacitor Circuits | p. 51 |
Non-Overlapping Clock Generation | p. 53 |
Circuits | p. 54 |
Implementing the S/H | p. 54 |
Finite Op-Amp Gain-Bandwidth Product | p. 55 |
Autozeroing | p. 57 |
Correlated Double Sampling (CDS) | p. 59 |
Selecting Capacitor Sizes | p. 61 |
The S/H with Gain | p. 61 |
Implementing Subtraction in the S/H | p. 63 |
A Single-Ended to Differential Output S/H | p. 65 |
The Discrete Analog Integrator (DAI) | p. 66 |
A Note Concerning Block Diagrams | p. 68 |
Fully-Differential DAI | p. 69 |
DAI Noise Performance | p. 70 |
Analog Filters | p. 73 |
Integrator Building Blocks | p. 73 |
Lowpass Filters | p. 73 |
Active-RC Integrators | p. 75 |
Effects of Finite Op-Amp Gain Bandwidth Product, f[subscript un] | p. 78 |
Active-RC SNR | p. 82 |
MOSFET-C Integrators | p. 83 |
Why Use an Active Circuit (an Op-Amp)? | p. 85 |
g[subscript m]-C (Transconductor-C) Integrators | p. 86 |
Common-Mode Feedback Considerations | p. 88 |
A High-Frequency Transconductor | p. 89 |
Discrete-Time Integrators | p. 90 |
An Important Note | p. 94 |
Exact Frequency Response of an Ideal Discrete-Time Filter | p. 94 |
Filtering Topologies | p. 95 |
The Bilinear Transfer Function | p. 95 |
Active-RC Implementation | p. 97 |
Transconductor-C Implementation | p. 97 |
Switched-Capacitor Implementation | p. 98 |
The Biquadratic Transfer Function | p. 99 |
Active-RC Implementation | p. 101 |
Switched-Capacitor Implementation | p. 106 |
High Q | p. 107 |
Q Peaking and Instability | p. 112 |
Transconductor-C Implementation | p. 114 |
Digital Filters | p. 119 |
SPICE Models for DACs and ADCs | p. 119 |
The Ideal DAC | p. 119 |
SPICE Modeling the Ideal DAC | p. 120 |
The Ideal ADC | p. 121 |
Number Representation | p. 123 |
Increasing Word Size (Extending the Sign-Bit) | p. 124 |
Adding Numbers and Overflow | p. 125 |
Subtracting Numbers in Two's Complement Format | p. 126 |
Sinc-Shaped Digital Filters | p. 126 |
The Counter | p. 126 |
Aliasing | p. 127 |
The Accumulate-and-Dump | p. 129 |
Lowpass Sinc Filters | p. 129 |
Averaging without Decimation: A Review | p. 132 |
Cascading Sinc Filters | p. 132 |
Finite and Infinite Impulse Response Filters | p. 133 |
Bandpass and Highpass Sinc Filters | p. 134 |
Canceling Zeroes to Create Highpass and Bandpass Filters | p. 134 |
Frequency Sampling Filters | p. 138 |
Interpolation using Sinc Filters | p. 139 |
Additional Control | p. 142 |
Cascade of Integrators and Combs | p. 142 |
Decimation using Sinc Filters | p. 143 |
Filtering Topologies | p. 145 |
FIR Filters | p. 145 |
Stability and Overflow | p. 146 |
Overflow | p. 147 |
The Bilinear Transfer Function | p. 148 |
The Canonic Form (or Standard Form) of a Digital Filter | p. 151 |
General Canonic Form of a Recursive Filter | p. 154 |
The Biquadratic Transfer Function | p. 155 |
Comparing Biquads to Sinc-Shaped Filters | p. 157 |
A Comment Concerning Multiplications | p. 158 |
Data Converter SNR | p. 163 |
Quantization Noise | p. 163 |
Viewing the Quantization Noise Spectrum Using Simulations | p. 164 |
Bennett's Criteria | p. 165 |
An Important Note | p. 166 |
RMS Quantization Noise Voltage | p. 166 |
Treating Quantization Noise as a Random Variable | p. 168 |
Quantization Noise Voltage Spectral Density | p. 169 |
Calculating Quantization Noise from a SPICE Spectrum | p. 171 |
Power Spectral Density | p. 172 |
Signal-to-Noise Ratio (SNR) | p. 173 |
Effective Number of Bits | p. 173 |
Coherent Sampling | p. 175 |
Signal-to-Noise Plus Distortion Ratio | p. 176 |
Spurious Free Dynamic Range | p. 177 |
Dynamic Range | p. 177 |
Specifying SNR and SNDR | p. 178 |
Clock Jitter | p. 178 |
Using Oversampling to Reduce Sampling Clock Jitter Stability Requirements | p. 181 |
A Practical Note | p. 182 |
A Tool: The Spectral Density | p. 182 |
The Spectral Density of Deterministic Signals: An Overview | p. 183 |
The Spectral Density of Random Signals: An Overview | p. 185 |
Specifying Phase Noise from Measured Data | p. 189 |
Improving SNR using Averaging | p. 190 |
An Important Note | p. 191 |
Using Averaging to Improve SNR | p. 192 |
Ideal Signal-to-Noise Ratio | p. 194 |
Linearity Requirements | p. 194 |
Adding a Noise Dither | p. 195 |
Jitter | p. 198 |
Anti-Aliasing Filter | p. 198 |
Using Feedback to Improve SNR | p. 199 |
Data Converter Design Basics | p. 203 |
The One-Bit ADC and DAC | p. 204 |
Passive Noise-Shaping | p. 205 |
Signal-to-Noise Ratio | p. 208 |
Decimating and Filtering the Modulator's Output | p. 209 |
SNR Calculation using a Sinc Filter | p. 211 |
Offset, Matching, and Linearity | p. 212 |
Resistor Mismatch | p. 213 |
The Feedback DAC | p. 213 |
DAC Offset | p. 214 |
Linearity of the First-Order Modulator | p. 214 |
Dead Zones | p. 215 |
Improving SNR and Linearity | p. 215 |
Second-Order Passive Noise-Shaping | p. 216 |
Passive Noise-Shaping Using Switched-Capacitors | p. 218 |
Increasing SNR using K-Paths | p. 220 |
Revisiting Switched-Capacitor Implementations | p. 224 |
Effects of the Added Amplifier on Linearity | p. 224 |
Improving Linearity Using an Active Circuit | p. 225 |
Second-Order Noise-Shaping | p. 227 |
Signal-to-Noise Ratio | p. 229 |
Discussion | p. 230 |
Noise-Shaping Data Converters | p. 233 |
First-Order Noise Shaping | p. 233 |
A Digital First-Order NS Demodulator | p. 235 |
Modulation Noise in First-Order NS Modulators | p. 236 |
RMS Quantization Noise in a First-Order Modulator | p. 237 |
Decimating and Filtering the Output of a NS Modulator | p. 239 |
Pattern Noise from DC Inputs (Limit Cycle Oscillations) | p. 241 |
Integrator and Forward Modulator Gain | p. 243 |
Comparator Gain, Offset, Noise, and Hysteresis | p. 246 |
Op-Amp Gain (Integrator Leakage) | p. 247 |
Op-Amp Settling Time | p. 248 |
Op-Amp Offset | p. 250 |
Op-Amp Input-Referred Noise | p. 250 |
Practical Implementation of the First-Order NS Modulator | p. 251 |
Second-Order Noise-Shaping | p. 253 |
Second-Order Modulator Topology | p. 253 |
Integrator Gain | p. 257 |
Implementing Feedback Gains in the DAI | p. 260 |
Using Two Delaying Integrators to Implement the Second-Order Modulator | p. 263 |
Selecting Modulator (Integrator) Gains | p. 264 |
Noise-Shaping Topologies | p. 264 |
Higher-Order Modulators | p. 265 |
M[superscript th]-Order Modulator Topology | p. 265 |
Filtering the Output of an M[superscript th]-Order NS Modulator | p. 266 |
Implementing Higher-Order, Single-Stage Modulators | p. 267 |
Multi-Bit Modulators | p. 269 |
Simulating a Multibit NS Modulator Using SPICE | p. 269 |
Error Feedback | p. 271 |
Implementation Concerns | p. 274 |
Cascaded Modulators | p. 275 |
Second-Order (1-1) Modulators | p. 275 |
Third-Order (1-1-1) Modulators | p. 277 |
Third-Order (2-1) Modulators | p. 277 |
Implementing the Additional Summing Input | p. 279 |
Bandpass Data Converters | p. 285 |
Continuous-Time Bandpass Noise-Shaping | p. 287 |
Passive-Component Bandpass Modulators | p. 287 |
An Important Note | p. 289 |
Active-Component Bandpass Modulators | p. 289 |
Signal-to-Noise Ratio | p. 290 |
Modulators for Conversion at Radio Frequencies | p. 291 |
Switched-Capacitor Bandpass Noise-Shaping | p. 292 |
Switched-Capacitor Resonators | p. 292 |
Second-Order Modulators | p. 294 |
Fourth-Order Modulators | p. 296 |
A Common Error | p. 297 |
A Comment about 1/f Noise | p. 297 |
Digital I/Q Extraction to Baseband | p. 297 |
A High-Speed Data Converter | p. 301 |
The Topology | p. 301 |
Clock Signals | p. 301 |
Path Settling Time | p. 302 |
Implementation | p. 303 |
Filtering | p. 306 |
Examples | p. 307 |
Direction | p. 312 |
Discussion | p. 312 |
Understanding the Clock Signals | p. 315 |
Practical Implementation | p. 316 |
Generating the Clock Signals | p. 316 |
The Components | p. 318 |
The Switched-Capacitors | p. 318 |
The Amplifier | p. 318 |
The Clocked Comparator | p. 319 |
The ADC | p. 320 |
Conclusion | p. 322 |
Index | p. 325 |
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