| Preface | p. xi |
| Basic Network Theory | p. 1 |
| Introduction | p. 1 |
| Magnitude and Phase Response of Analog Transfer Functions | p. 4 |
| Time Delay and Group Delay of Analog Filters | p. 5 |
| Transient Analysis Using Laplace Transforms | p. 6 |
| Sampled Data Systems | p. 8 |
| The Fourier Transform | p. 9 |
| The Fast Fourier Transform | p. 13 |
| The z Transform | p. 15 |
| Sensitivities and Monte Carlo Analysis | p. 20 |
| Polynomial Filters | p. 21 |
| References | p. 25 |
| Problems | p. 25 |
| The Low-Pass Butterworth Filter | p. 27 |
| The Butterworth Function | p. 27 |
| Pole Locations | p. 27 |
| Calculation of Filter Order | p. 28 |
| Butterworth Element Values | p. 30 |
| Reference | p. 32 |
| Problems | p. 32 |
| The Low-Pass Tchebyscheff Filter | p. 33 |
| The Tchebyscheff Function | p. 33 |
| Pole Locations | p. 35 |
| Calculation of Filter Order | p. 37 |
| Tchebyscheff Element Values | p. 40 |
| Reference | p. 40 |
| Problems | p. 41 |
| The Low-Pass Inverse Tchebyscheff Filter | p. 43 |
| The Inverse Tchebyscheff Function | p. 43 |
| Pole and Zero Locations | p. 45 |
| Calculation of Filter Order | p. 46 |
| Reference | p. 51 |
| Problems | p. 51 |
| The Low-Pass Elliptic Filter | p. 53 |
| The Tchebyscheff Rational Function | p. 53 |
| Calculation of Filter Order | p. 54 |
| Pole and Zero Locations | p. 56 |
| References | p. 59 |
| Problems | p. 59 |
| Bandpass Transformations | p. 61 |
| Impedance Scaling | p. 61 |
| Frequency Scaling | p. 61 |
| Duality and Reciprocity | p. 62 |
| Bartlett's Bisection Theorem | p. 63 |
| Low-Pass to Bandpass Transformations | p. 65 |
| Calculating the Passband Filter Order | p. 66 |
| Star-Delta Transformations | p. 68 |
| Norton's Transformations | p. 68 |
| Noncanonic Two-Terminal Networks | p. 73 |
| Canonic Two-Terminal Networks | p. 76 |
| Bandpass Design to Absorb Parasitic Capacitance | p. 78 |
| General Network Equations | p. 78 |
| Passive Topologies for Group Delay Equalization | p. 86 |
| References | p. 92 |
| Problems | p. 92 |
| Synthesis of Unequally Terminated Passive Filters | p. 93 |
| Derivation of the Input Impedance | p. 93 |
| Input Impedance Derivation for Arbitrary Load Resistance | p. 96 |
| Input Impedance for Arbitrary Source and Load Resistances | p. 97 |
| The Even-Order Tchebyscheff Type I Case | p. 97 |
| Realization Procedure for All-Pole Filters | p. 99 |
| Recursive Formulas for Butterworth-Tchebyscheff Filters | p. 99 |
| The Four Types of Elliptic Filters | p. 102 |
| Derivations of Type-b and Type-c Elliptic Filters | p. 104 |
| A Transform Variable for Finding E(s) | p. 106 |
| Models for Elliptic Filter Synthesis | p. 109 |
| Classical Filter Synthesis | p. 109 |
| The Permutation Method to Calculate Trap-Section Elements | p. 113 |
| Summary | p. 117 |
| References | p. 119 |
| Problems | p. 119 |
| Active Filters | p. 121 |
| Voltage Operational Amplifier Characteristics | p. 121 |
| Decomposition of the Transfer Function | p. 123 |
| Infinite-Gain Multiple-Feedback Realizations | p. 125 |
| Voltage-Controlled Voltage-Source (VCVS) Realizations | p. 127 |
| State Variable Realizations | p. 133 |
| Gain Optimization in Active Filters | p. 135 |
| Special Active Filter Configurations | p. 137 |
| Sensitivity of Active Filters | p. 138 |
| Very High-Q Insensitive Active Filters | p. 143 |
| Gain Optimization of the High-Q Insensitive Network | p. 147 |
| Simulation Pitfalls | p. 147 |
| Current Operational Amplifier Characteristics | p. 149 |
| Summary | p. 151 |
| References | p. 153 |
| Problems | p. 153 |
| Infinite Impulse Response Digital Filters | p. 157 |
| Digital Filter Concepts | p. 157 |
| The Antialiasing Filter | p. 158 |
| The Sample-and-Hold Circuit | p. 159 |
| Analog-to-Digital Conversion | p. 160 |
| The Digital Filter | p. 162 |
| The Bilinear Transform | p. 163 |
| Digital-to-Analog Conversion | p. 167 |
| References | p. 169 |
| Problems | p. 170 |
| Finite Impulse Response Window Filter Design | p. 171 |
| FIR Windowed Digital Filter Concepts | p. 171 |
| Fourier Series Expansion | p. 172 |
| Conditions for Linear Phase | p. 175 |
| Windows | p. 177 |
| Rectangular Window | p. 178 |
| Generalized Hamming Window | p. 179 |
| Kaiser Window | p. 180 |
| Window Summary | p. 181 |
| The Hilbert Transform | p. 183 |
| [Sigma]-[Delta] Modulator | p. 186 |
| References | p. 189 |
| Problems | p. 189 |
| Equiripple Approximation of FIR Filters | p. 191 |
| The Exchange Method of Mini-Max Approximation | p. 191 |
| The Basic Exchange Algorithm | p. 192 |
| Four Types of Finite Impulse Response Filters | p. 194 |
| The Number of Extrema in a Linear Phase FIR Filter | p. 198 |
| The Remez Exchange Algorithm | p. 199 |
| References | p. 203 |
| Problems | p. 203 |
| Switched Capacitor Filters | p. 205 |
| Switched Capacitor Equivalent Resistors | p. 205 |
| First-Order Parasitic Insensitive SC Filters | p. 215 |
| Exact Design of Second-Order Switched Capacitor Stages | p. 217 |
| Effects of Finite Op-Amp Gain and Bandwidth in SC Filters | p. 219 |
| Nonideal Considerations of SC Switches | p. 223 |
| References | p. 225 |
| Problems | p. 226 |
| Mathematical Techniques | p. 227 |
| Polynomials from Complex Roots | p. 227 |
| The Taylor Series | p. 228 |
| The Newton-Raphson Method | p. 229 |
| Partial Fraction Expansion | p. 230 |
| Quality Factor | p. 232 |
| Programs | p. 235 |
| Answers to Selected Questions | p. 253 |
| Bibliography | p. 259 |
| About the Author | p. 261 |
| Index | p. 263 |
| Table of Contents provided by Syndetics. All Rights Reserved. |
