# Schaum's Outline of Signals and Systems, Fourth Edition

, by Hsu, Hwei**Note:**Supplemental materials are not guaranteed with Rental or Used book purchases.

- ISBN: 9781260454246 | 126045424X
- Cover: Paperback
- Copyright: 10/16/2019

Preface to The Second Edition

Preface to The First Edition

To the Student

Contents

Chapter 1. Signals and Systems

1.1 Introduction

1.2 Signals and Classification of Signals

1.3 Basic Continuous-Time Signals

1.4 Basic Discrete-Time Signals

1.5 Systems and Classification of Systems

Solved Problems

Chapter 2. Linear Time-Invariant Systems

2.1 Introduction

2.2 Response of a Continuous-Time LTI System and the Convolution Integral

2.3 Properties of Continuous-Time LTI Systems

2.4 Eigenfunctions of Continuous-Time LTI Systems

2.5 Systems Described by Differential Equations

2.6 Response of a Discrete-Time LTI System and Convolution Sum

2.7 Properties of Discrete-Time LTI Systems

2.8 Eigenfunctions of Discrete-Time LTI Systems

2.9 Systems Described by Difference Equations

Solved Problems

Chapter 3. Laplace Transform and Continuous-Time LTI Systems

3.1 Introduction

3.2 The Laplace Transform

3.3 Laplace Transforms of Some Common Signals

3.4 Properties of the Laplace Transform

3.5 The Inverse Laplace Transform

3.6 The System Function

3.7 The Unilateral Laplace Transform

Solved Problems

Chapter 4. The z-Transform and Discrete-Time LTI Systems

4.1 Introduction

4.2 The z-Transform

4.3 z-Transforms of Some Common Sequences

4.4 Properties of the z-Transform

4.5 The Inverse z-Transform

4.6 The System Function of Discrete-Time LTI Systems

4.7 The Unilateral z-Transform

Solved Problems

Chapter 5. Fourier Analysis of Continuous-Time Signals and Systems

5.1 Introduction

5.2 Fourier Series Representation of Periodic Signals

5.3 The Fourier Transform

5.4 Properties of the Continuous-Time Fourier Transform

5.5 The Frequency Response of Continuous-Time LTI Systems

5.6 Filtering

5.7 Bandwidth

Solved Problems

Chapter 6. Fourier Analysis of Discrete-Time Signals and Systems

6.1 Introduction

6.2 Discrete Fourier Series

6.3 The Fourier Transform

6.4 Properties of the Fourier Transform

6.5 The Frequency Response of Discrete-Time LTI Systems

6.6 System Response to Sampled Continuous-Time Sinusoids

6.7 Simulation

6.8 The Discrete Fourier Transform

Solved Problems

Chapter 7. State Space Analysis

7.1 Introduction

7.2 The Concept of State

7.3 State Space Representation of Discrete-Time LTI Systems

7.4 State Space Representation of Continuous-Time LTI Systems

7.5 Solutions of State Equations for Discrete-Time LTI Systems

7.6 Solutions of State Equations for Continuous-Time LTI Systems

Solved Problems

Chapter 8. Random Signals

8.1 Introduction

8.2 Random Processes

8.3 Statistics of Random Processes

8.4 Gaussian Random Process

Solved Problems

Chapter 9. Power Spectral Density and Random Signals in Linear System

9.1 Introduction

9.2 Correlations and Power Spectral Densities

9.3 White Noise

9.4 Response of Linear System to Random Input

Solved Problems

Appendix A. Review of Matrix Theory

A.1 Matrix Notation and Operations

A.2 Transpose and Inverse

A.3 Linear Independence and Rank

A.4 Determinants

A.5 Eigenvalues and Eigenvectors

A.6 Diagonalization and Similarity Transformation

A.7 Functions of a Matrix

A.8 Differentiation and Integration of Matrices

Appendix B. Review of Probability

B.1 Probability

B.2 Random Variables

B.3 Two-Dimensional Random Variables

B.4 Functions of Random Variables

B.5 Statistical Averages

Appendix C. Properties of Linear Time-Invariant Systems and Various Transforms

C.1 Continuous-Time LTI Systems

C.2 The Laplace Transform

C.3 The Fourier Transform

C.4 Discrete-Time LTI Systems

C.5 The z-Transform

C.6 The Discrete-Time Fourier Transform

C.7 The Discrete Fourier Transform

C.8 Fourier Series

C.9 Discrete Fourier Series

Appendix D. Review of Complex Numbers

D.1 Representation of Complex Numbers

D.2 Addition, Multiplication, and Division

D.3 The Complex Conjugate

D.4 Powers and Roots of Complex Numbers

Appendix E. Useful Mathematical Formulas

E.1 Summation Formulas

E.2 Euler’s Formulas

E.3 Trigonometric Identities

E.4 Power Series Expansions

E.5 Exponential and Logarithmic Functions

E.6 Some Definite Integrals

Schaum’s Signals and Systems Videos

Schaum’s Signals and Systems MATLAB Videos

MATLAB Prints for Online Videos

Index

Preface to The First Edition

To the Student

Contents

Chapter 1. Signals and Systems

1.1 Introduction

1.2 Signals and Classification of Signals

1.3 Basic Continuous-Time Signals

1.4 Basic Discrete-Time Signals

1.5 Systems and Classification of Systems

Solved Problems

Chapter 2. Linear Time-Invariant Systems

2.1 Introduction

2.2 Response of a Continuous-Time LTI System and the Convolution Integral

2.3 Properties of Continuous-Time LTI Systems

2.4 Eigenfunctions of Continuous-Time LTI Systems

2.5 Systems Described by Differential Equations

2.6 Response of a Discrete-Time LTI System and Convolution Sum

2.7 Properties of Discrete-Time LTI Systems

2.8 Eigenfunctions of Discrete-Time LTI Systems

2.9 Systems Described by Difference Equations

Solved Problems

Chapter 3. Laplace Transform and Continuous-Time LTI Systems

3.1 Introduction

3.2 The Laplace Transform

3.3 Laplace Transforms of Some Common Signals

3.4 Properties of the Laplace Transform

3.5 The Inverse Laplace Transform

3.6 The System Function

3.7 The Unilateral Laplace Transform

Solved Problems

Chapter 4. The z-Transform and Discrete-Time LTI Systems

4.1 Introduction

4.2 The z-Transform

4.3 z-Transforms of Some Common Sequences

4.4 Properties of the z-Transform

4.5 The Inverse z-Transform

4.6 The System Function of Discrete-Time LTI Systems

4.7 The Unilateral z-Transform

Solved Problems

Chapter 5. Fourier Analysis of Continuous-Time Signals and Systems

5.1 Introduction

5.2 Fourier Series Representation of Periodic Signals

5.3 The Fourier Transform

5.4 Properties of the Continuous-Time Fourier Transform

5.5 The Frequency Response of Continuous-Time LTI Systems

5.6 Filtering

5.7 Bandwidth

Solved Problems

Chapter 6. Fourier Analysis of Discrete-Time Signals and Systems

6.1 Introduction

6.2 Discrete Fourier Series

6.3 The Fourier Transform

6.4 Properties of the Fourier Transform

6.5 The Frequency Response of Discrete-Time LTI Systems

6.6 System Response to Sampled Continuous-Time Sinusoids

6.7 Simulation

6.8 The Discrete Fourier Transform

Solved Problems

Chapter 7. State Space Analysis

7.1 Introduction

7.2 The Concept of State

7.3 State Space Representation of Discrete-Time LTI Systems

7.4 State Space Representation of Continuous-Time LTI Systems

7.5 Solutions of State Equations for Discrete-Time LTI Systems

7.6 Solutions of State Equations for Continuous-Time LTI Systems

Solved Problems

Chapter 8. Random Signals

8.1 Introduction

8.2 Random Processes

8.3 Statistics of Random Processes

8.4 Gaussian Random Process

Solved Problems

Chapter 9. Power Spectral Density and Random Signals in Linear System

9.1 Introduction

9.2 Correlations and Power Spectral Densities

9.3 White Noise

9.4 Response of Linear System to Random Input

Solved Problems

Appendix A. Review of Matrix Theory

A.1 Matrix Notation and Operations

A.2 Transpose and Inverse

A.3 Linear Independence and Rank

A.4 Determinants

A.5 Eigenvalues and Eigenvectors

A.6 Diagonalization and Similarity Transformation

A.7 Functions of a Matrix

A.8 Differentiation and Integration of Matrices

Appendix B. Review of Probability

B.1 Probability

B.2 Random Variables

B.3 Two-Dimensional Random Variables

B.4 Functions of Random Variables

B.5 Statistical Averages

Appendix C. Properties of Linear Time-Invariant Systems and Various Transforms

C.1 Continuous-Time LTI Systems

C.2 The Laplace Transform

C.3 The Fourier Transform

C.4 Discrete-Time LTI Systems

C.5 The z-Transform

C.6 The Discrete-Time Fourier Transform

C.7 The Discrete Fourier Transform

C.8 Fourier Series

C.9 Discrete Fourier Series

Appendix D. Review of Complex Numbers

D.1 Representation of Complex Numbers

D.2 Addition, Multiplication, and Division

D.3 The Complex Conjugate

D.4 Powers and Roots of Complex Numbers

Appendix E. Useful Mathematical Formulas

E.1 Summation Formulas

E.2 Euler’s Formulas

E.3 Trigonometric Identities

E.4 Power Series Expansions

E.5 Exponential and Logarithmic Functions

E.6 Some Definite Integrals

Schaum’s Signals and Systems Videos

Schaum’s Signals and Systems MATLAB Videos

MATLAB Prints for Online Videos

Index