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Electronic Filter Analysis and Synthesis

By: Michael G. Ellis

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Hardcover | 1 December 1994

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Hardcover
284 Pages

Dimensions(cm)
24.13 x 16.51 x 2.54

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Electronic Filter Analysis and Synthesis helps you save time and effort in writing CAD and analysis programs for electronic filters, and provides explicit details on how to synthesize lowpass, bandpass, bandstop, and highpass realizations for passive, active, digital and switched capacitors.

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You Can Find This Book In

Non-Fiction Science Physics Electricity Engineering & Technology Energy Technology & Engineering Electrical Engineering Electronics & Communications Engineering Electronics Engineering Circuits & Components Microwave Technology Computing & I.T.

Graphical & Digital Media Applications Computer-Aided Design CAD Technology in General

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.

Electronic Filter Analysis and Synthesis

At a Glance

Hardcover

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