Page 8 - Schaum's Outline of Theory and Problems of Signals and Systems

Contents

Chapter 1. Signals and Systems 1
1.1 Introduction 1
1.2 Signals and Classification of Signals 1
1.3 Basic Continuous-Time Signals 6
1.4 Basic Discrete-Time Signals 12
1.5 Systems and Classification of Systems 16
Solved Problems 19

Chapter 2. Linear Time-Invariant Systems 56
2.1 Introduction 56
2.2 Response of a Continuous-Time LTI System and the Convolution Integral 56
2.3 Properties of Continuous-Time LTI Systems 58
2.4 Eigenfunctions of Continuous-Time LTI Systems 59
2.5 Systems Described by Differential Equations 60
2.6 Response of a Discrete-Time LTI System and Convolution Sum 61
2.7 Properties of Discrete-Time LTI Systems 63
2.8 Eigenfunctions of Discrete-Time LTI Systems 64
2.9 Systems Described by Difference Equations 65
Solved Problems 66

Chapter 3. Laplace Transform and Continuous-Time LTI Systems 110
3.1 Introduction 110
3.2 The Laplace Transform 110
3.3 Laplace Transforms of Some Common Signals 114
3.4 Properties of the Laplace Transform 114
3.5 The Inverse Laplace Transform 119
3.6 The System Function 121
3.7 The Unilateral Laplace Transform 124
Solved Problems 127

Chapter 4. The z-Transform and Discrete-Time LTI Systems 165
4.1 Introduction 165
4.2 The z-Transform 165
4.3 z-Transforms of Some Common Sequences 169
4.4 Properties of the z-Transform 171
4.5 The Inverse z-Transform 173
4.6 The System Function of Discrete-Time LTI Systems 175
4.7 The Unilateral z-Transform 177
Solved Problems 178

Chapter 5. Fourier Analysis of Continuous-Time Signals and Systems 211
5.1 Introduction 211
5.2 Fourier Series Representation of Periodic Signals 211
5.3 The Fourier Transform 214
5.4 Properties of the Continuous-Time Fourier Transform 219

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