Gateways Into Electronics

CONTENTS

Preface

1 Linear Systems

1-1 Introduction

1-2 Linear Differential Equations with Constant Coefficients

1-3 Frequency Response

1-4 Step Response

1-5 Correspondences Between Step and Frequency Responses

1-6 Filters and the Frequency Content of Waveforms

Exercises

Appendix: Step and Frequency Responses of Second-Order Systems

AI-1 Second-Order Lag

AI-2 Resonator

2 Generalized Functions and Integral Transforms

2-1 Introduction

2-2 Mathematical Background

2-3 Convolutions of Functions

2-4 Laplace Transforms of Functions

2-5 Generalized Functions

2-6 Integrals and Convolutions of Generalized Functions

2-7 Convergence of Generalized Functions

2-8 Laplace Transforms of Generalized Functions

2-9 Impulse Response and Convolution

2-10 Fourier Transforms

2-10-1 Functions of Rapid Descent and Generalized Functions of Slow Growth

2-10-2 Fourier Transforms of Generalized Functions of Slow Growth

2-10-3 Functions of Integrable Square

2-10-4 Alternative Expressions for the Transforms

2-11 Shannon's Sampling Theorem

Exercises

Appendix: Table of Laplace Transforms

3 Circuit Theory

3-1 Circuit Elements

3-2 The Basics: Kirchhoff's Laws and Superposition

3-3 Impedances and Admittances

3-4 Dependent Sources: The Transformer

3-5 Structural Considerations

3-6 Thévenin's Theorem

3-7 Source Transformations

3-8 Two-Ports

3-9 Power and Energy

Exercises

4 From Fields to Circuits

4-1 Introduction

4-2 Maxwell's Equations in Vacuum

4-3 Low-Frequency Potentials and Fields

4-4 The Drude–Lorentz Model of ...