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Electronic Filter Analysis and Synthesis : Microwave Library - Michael G. Ellis

Electronic Filter Analysis and Synthesis

Microwave Library

Hardcover Published: 19th December 1994
ISBN: 9780890066164
Number Of Pages: 284

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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.

Prefacep. xi
Basic Network Theoryp. 1
Introductionp. 1
Magnitude and Phase Response of Analog Transfer Functionsp. 4
Time Delay and Group Delay of Analog Filtersp. 5
Transient Analysis Using Laplace Transformsp. 6
Sampled Data Systemsp. 8
The Fourier Transformp. 9
The Fast Fourier Transformp. 13
The z Transformp. 15
Sensitivities and Monte Carlo Analysisp. 20
Polynomial Filtersp. 21
Referencesp. 25
Problemsp. 25
The Low-Pass Butterworth Filterp. 27
The Butterworth Functionp. 27
Pole Locationsp. 27
Calculation of Filter Orderp. 28
Butterworth Element Valuesp. 30
Referencep. 32
Problemsp. 32
The Low-Pass Tchebyscheff Filterp. 33
The Tchebyscheff Functionp. 33
Pole Locationsp. 35
Calculation of Filter Orderp. 37
Tchebyscheff Element Valuesp. 40
Referencep. 40
Problemsp. 41
The Low-Pass Inverse Tchebyscheff Filterp. 43
The Inverse Tchebyscheff Functionp. 43
Pole and Zero Locationsp. 45
Calculation of Filter Orderp. 46
Referencep. 51
Problemsp. 51
The Low-Pass Elliptic Filterp. 53
The Tchebyscheff Rational Functionp. 53
Calculation of Filter Orderp. 54
Pole and Zero Locationsp. 56
Referencesp. 59
Problemsp. 59
Bandpass Transformationsp. 61
Impedance Scalingp. 61
Frequency Scalingp. 61
Duality and Reciprocityp. 62
Bartlett's Bisection Theoremp. 63
Low-Pass to Bandpass Transformationsp. 65
Calculating the Passband Filter Orderp. 66
Star-Delta Transformationsp. 68
Norton's Transformationsp. 68
Noncanonic Two-Terminal Networksp. 73
Canonic Two-Terminal Networksp. 76
Bandpass Design to Absorb Parasitic Capacitancep. 78
General Network Equationsp. 78
Passive Topologies for Group Delay Equalizationp. 86
Referencesp. 92
Problemsp. 92
Synthesis of Unequally Terminated Passive Filtersp. 93
Derivation of the Input Impedancep. 93
Input Impedance Derivation for Arbitrary Load Resistancep. 96
Input Impedance for Arbitrary Source and Load Resistancesp. 97
The Even-Order Tchebyscheff Type I Casep. 97
Realization Procedure for All-Pole Filtersp. 99
Recursive Formulas for Butterworth-Tchebyscheff Filtersp. 99
The Four Types of Elliptic Filtersp. 102
Derivations of Type-b and Type-c Elliptic Filtersp. 104
A Transform Variable for Finding E(s)p. 106
Models for Elliptic Filter Synthesisp. 109
Classical Filter Synthesisp. 109
The Permutation Method to Calculate Trap-Section Elementsp. 113
Summaryp. 117
Referencesp. 119
Problemsp. 119
Active Filtersp. 121
Voltage Operational Amplifier Characteristicsp. 121
Decomposition of the Transfer Functionp. 123
Infinite-Gain Multiple-Feedback Realizationsp. 125
Voltage-Controlled Voltage-Source (VCVS) Realizationsp. 127
State Variable Realizationsp. 133
Gain Optimization in Active Filtersp. 135
Special Active Filter Configurationsp. 137
Sensitivity of Active Filtersp. 138
Very High-Q Insensitive Active Filtersp. 143
Gain Optimization of the High-Q Insensitive Networkp. 147
Simulation Pitfallsp. 147
Current Operational Amplifier Characteristicsp. 149
Summaryp. 151
Referencesp. 153
Problemsp. 153
Infinite Impulse Response Digital Filtersp. 157
Digital Filter Conceptsp. 157
The Antialiasing Filterp. 158
The Sample-and-Hold Circuitp. 159
Analog-to-Digital Conversionp. 160
The Digital Filterp. 162
The Bilinear Transformp. 163
Digital-to-Analog Conversionp. 167
Referencesp. 169
Problemsp. 170
Finite Impulse Response Window Filter Designp. 171
FIR Windowed Digital Filter Conceptsp. 171
Fourier Series Expansionp. 172
Conditions for Linear Phasep. 175
Windowsp. 177
Rectangular Windowp. 178
Generalized Hamming Windowp. 179
Kaiser Windowp. 180
Window Summaryp. 181
The Hilbert Transformp. 183
[Sigma]-[Delta] Modulatorp. 186
Referencesp. 189
Problemsp. 189
Equiripple Approximation of FIR Filtersp. 191
The Exchange Method of Mini-Max Approximationp. 191
The Basic Exchange Algorithmp. 192
Four Types of Finite Impulse Response Filtersp. 194
The Number of Extrema in a Linear Phase FIR Filterp. 198
The Remez Exchange Algorithmp. 199
Referencesp. 203
Problemsp. 203
Switched Capacitor Filtersp. 205
Switched Capacitor Equivalent Resistorsp. 205
First-Order Parasitic Insensitive SC Filtersp. 215
Exact Design of Second-Order Switched Capacitor Stagesp. 217
Effects of Finite Op-Amp Gain and Bandwidth in SC Filtersp. 219
Nonideal Considerations of SC Switchesp. 223
Referencesp. 225
Problemsp. 226
Mathematical Techniquesp. 227
Polynomials from Complex Rootsp. 227
The Taylor Seriesp. 228
The Newton-Raphson Methodp. 229
Partial Fraction Expansionp. 230
Quality Factorp. 232
Programsp. 235
Answers to Selected Questionsp. 253
Bibliographyp. 259
About the Authorp. 261
Indexp. 263
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780890066164
ISBN-10: 0890066167
Series: Microwave Library
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 284
Published: 19th December 1994
Publisher: Artech House Publishers
Country of Publication: US
Dimensions (cm): 22.9 x 15.2  x 1.9
Weight (kg): 0.59