Wideband Amplifiers (eBook)

Table of Contents 6
Acknowledgments 7
Foreword 8
Release Notes 10
Part 1 The Laplace Transform 11
About Transforms 12
1.0 Introduction 15
1.1 Three Different Ways of Expressing a Sinusoidal Function 17
1.2 The Fourier Series 21
1.3 The Fourier Integral 27
1.4 The Laplace Transform 33
1.5 Examples of Direct Laplace Transform 35
1.6 Important Properties of the Laplace Transform 41
1.7 Application of the L transform in Network Analysis 50
1.8 Complex Line Integrals 54
1.9 Contour Integrals 61
1.10 Cauchy’s Way of Expressing Analytic Functions 63
1.11 Residues of Functions with Multiple Poles, the Laurent Series 68
1.12 Complex Integration Around Many Poles: the Cauchy– Goursat Theorem 71
1.13 Equality of the Integrals 73
1.14 Application of the Inverse Laplace Transform 79
1.15 Convolution 86
Résumé of Part 1 90
Part 2: Inductive Peaking Circuits 92
The Renaissance of Inductance 93
2.0 Introduction 97
2.1 The Principle of Inductive Peaking 99
2.2 Two Pole Series Peaking Circuit 102
2.3 Three Pole Series Peaking Circuit 116
2.4 Two-Pole T-coil Peaking Circuit 124
2.5 Three-Pole T-coil Peaking Circuit 140
2.6 Four-pole L+T Peaking Circuit 151
2.7 Two-Pole Shunt Peaking Circuit 161
2.8 Three-Pole Shunt Peaking Circuit 170
2.9 Shunt–Series Peaking Circuit 177
2.10 Comparison of MFA Frequency Responses and of MFED Step Responses 189
2.11 The Construction of T-coils 191
Appendix 2.1 General Solutions for 1st -, 2nd -, 3rd - and 4th -order polynomials 199
Appendix 2.2 Normalization of complex frequency response functions 202
Part 3: Wideband Amplifier Stages With Semiconductor Devices 204
Back To Basics 205
3.0 Introduction: A Farewell to Exact Calculations 209
3.1 Common Emitter Amplifier 211
3.2 Transistor as an Impedance Converter 219
3.3 Common-Base Amplifier 235
3.4 Cascode Amplifier 238
3.5 Emitter Peaking in a Cascode Amplifier 249
3.6 Transistor Interstage T-coil Peaking 257
3.7 Differential Amplifiers 269
3.8 The 0 Doubler 275
3.9 JFET Source Follower 278
Résumé of Part 3 294
Part 4: Cascading Amplifier Stages, Selection of Poles 297
To Calculate Or Not To Calculate— That Is Not A Question 298
4.0 Introduction 302
4.1 A Cascade of Identical, DC Coupled, VG Loaded Stages 303
4.2 A Multi-stage Amplifier with Identical AC Coupled Stages 315
4.3 A Multi-stage Amplifier with Butterworth Poles (MFA) 321
4.4 Derivation of Bessel Poles for MFED Response 332
4.5 Pole Interpolation 348
4.6 Staggered vs. Repeated Bessel Pole Pairs 356
Résumé of Part 4 361
Part 5: System Synthesis And Integration 363
5.0 ‘The Product is Greater than The Sum of its Parts’ 368
5.1 Geometrical Synthesis of Inductively Compensated Multi- Stage Amplifiers— A Simple Example 369
5.2 High Input Impedance Selectable Attenuator with a JFET Source Follower 385
5.3 High Speed Operational Amplifiers 416
5.4 Improving Amplifier Linearity 452
Résumé of Part 5 488
Part 6: Computer Algorithms for Analysis and Synthesis of Amplifier–Filter Systems 493
How It All Began 494
6.0 Aim and Motivation 497
6.1 LTIC System Description — A Short Overview 498
6.2 Algorithm Syntax And Terminology 502
6.3 Poles and Zeros 503
6.4 Complex Frequency Response 511
6.5 Transient Response by Fourier Transform 525
6.6 Transient Response From Residues 546
6.7 A Simple Application Example 550
Résumé of Part 6 552
Part 7: Algorithm Application Examples 554
7.0 Introduction 557
7.1 Using Convolution: Response to Arbitrary Input Waveforms 558
7.2 System Front–End Design Consideration 567
Résumé and Conclusion 595
Index 597