book

Practical Signals Theory with MATLAB Applications, 2nd Edition

Name: Practical Signals Theory with MATLAB Applications, 2nd Edition
Author: Richard J. Tervo
ISBN: 9781394266555

by Richard J. Tervo

December 2025

Intermediate to advanced

480 pages

21h 45m

English

Wiley

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Cover
Table of Contents
Title Page
Copyright
Dedication
About the Author
Preface
Acknowledgements
About the Companion Website
Chapter 1: Practical MATLAB with Signals Theory
1.1 Introduction1.2 Visualizing Functions1.3 MATLAB M-Files1.4 Numerical Integration1.5 The for Loop1.6 Conditional and Logical Expressions1.7 Piecewise Continuous Signals1.8 Complex Numbers in MATLAB1.9 Conclusions1.10 Worked Problems1.11 End of Chapter ExercisesBibliographyNotes

Chapter 2: Introduction to Signals and Systems
2.1 Introduction2.2 Introduction to Signal Manipulation2.3 Basic Signals2.4 The Sinusoidal Signal2.5 Conclusions2.6 Worked Problems2.7 End of Chapter ExercisesBibliographyNotes
Chapter 3: Classification of Signals
3.1 Introduction3.2 Odd and Even Signals3.3 Periodic Signals3.4 Energy and Power Signals3.5 Complex Signals3.6 Discrete Time Signals3.7 Random Signals3.8 Conclusions3.9 Worked Problems3.10 End of Chapter ExercisesBibliographyNotes
Chapter 4: Linear Systems
4.1 Introduction4.2 Definition of a Linear System4.3 LTI System Response Function h(t)4.4 Convolution4.5 Determining h(t) in an Unknown System4.6 Causality4.7 Combined Systems4.8 Convolution and Random Numbers4.9 Useful Hints and Help with MATLAB4.10 Chapter Summary4.11 Conclusions4.12 Worked Problems4.13 End of Chapter ExercisesBibliographyNotes
Chapter 5: The Fourier Series
Chapter Overview5.1 Introduction5.2 Expressing Signals by Components5.3 Part One – Orthogonal Signals5.4 Orthogonality5.5 Part Two – The Fourier Series5.6 Computing Fourier Series Components5.7 Odd and Even Square Waves5.8 Gibb’s Phenomenon5.9 Setting-Up the Fourier Series Calculation5.10 Some Common Fourier Series5.11 Practical Harmonics5.12 Part Three: The Complex Fourier Series5.13 The Complex Fourier Series5.14 Complex Fourier Series Components5.15 Properties of the Complex Fourier Series5.16 Analysis of a DC Power Supply5.17 The Fourier Series with MATLAB5.18 Conclusions5.19 Worked Problems5.20 End of Chapter ExercisesBibliographyNotes
Chapter 6: The Fourier Transform
6.1 Introduction6.2 Properties of the Fourier Transform6.3 The Rectangle Signal6.4 The Sinc Function6.5 Signal Manipulations: Time and Frequency6.6 Fourier Transform Pairs6.7 Rapid Changes vs. High Frequencies6.8 Conclusions6.9 Worked Problems6.10 End of Chapter ExercisesBibliographyNotes
Chapter 7: Practical Fourier Transforms
7.1 Introduction7.2 Convolution: Time and Frequency7.3 Transfer Function of a Linear System7.4 Energy in Signals: Parseval’s Theorem for the Fourier Transform7.5 Data Smoothing and the Frequency Domain7.6 Ideal Filters7.7 A Real Low-Pass Filter7.8 The Modulation Theorem7.9 Periodic Signals and the Fourier Transform7.10 The Analog Spectrum Analyzer7.11 Conclusions7.12 Worked Problems7.13 End of Chapter ExercisesBibliographyNote
Chapter 8: The Laplace Transform
8.1 Introduction8.2 The Laplace Transform8.3 Exploring the s-Domain8.4 Visualizing the Laplace Transform8.5 Properties of the Laplace Transform8.6 Differential Equations8.7 Laplace Transform Pairs8.8 Circuit Analysis with the Laplace Transform8.9 State Variable Analysis8.10 Conclusions8.11 Worked Problems8.12 End of Chapter ExercisesBibliographyNotes
Chapter 9: Discrete Signals
9.1 Introduction9.2 Discrete Time vs. Continuous Time Signals9.3 A Discrete Time Signal9.4 Data Collection and Sampling Rate9.5 Introduction to Digital Filtering9.6 Illustrative Examples9.7 Filtering Application with MATLAB9.8 Conclusions9.9 Worked Problems9.10 End of Chapter ExercisesBibliographyNotes
Chapter 10: The z-Transform
10.1 Introduction10.2 The z-Transform10.3 Calculating the z-Transform10.4 A Discrete Time Laplace Transform10.5 Properties of the z-Transform10.6 z-Transform Pairs10.7 Transfer Function of a Discrete Linear System10.8 MATLAB Analysis with the z-Transform10.9 Digital Filtering – FIR Filter10.10 Digital Filtering – IIR Filter10.11 Conclusions10.12 Worked Problems10.13 End of Chapter ExercisesNotes
Chapter 11: Communication Systems
11.1 Introduction11.2 Amplitude Modulation11.3 Suppressed Carrier Transmission11.4 Superheterodyne Receiver11.5 Digital Communications11.6 Phase Shift Keying11.7 Spread Spectrum Systems11.8 Conclusions11.9 Worked Problems11.10 End of Chapter ExercisesBibliographyNotes
Appendix A: Reference Tables
A.1 Fourier TransformA.2 Laplace TransformA.3 z-Transform
Appendix B: The Illustrated Fourier Transform
Appendix C: The Illustrated Laplace Transform
Appendix D: The Illustrated z-Transform
Appendix E: MATLAB Reference Guide
E.1 Defining SignalsE.2 Complex NumbersE.3 Plot CommandsE.4 Signal OperationsE.5 Defining SystemsNote
Index
End User License Agreement

Content preview from Practical Signals Theory with MATLAB Applications, 2nd Edition

Appendix AReference Tables

A.1 Fourier Transform

cap s of f equals integral over negative normal infinity under prefix plus of normal infinity s of t times e super negative j times two times pi times f times t normal d t

s of t equals integral over negative normal infinity under prefix plus of normal infinity cap s of f times e super prefix plus of j times two times pi times f times t normal d f

A.1.1 Fourier Transform Theorems

Linearity:

Amplifying:

Scaling:

s of k times t long left right arrow cap f one divided by absolute value of k times cap s of f divided by k

Time shift:

Convolution:

Multiplication:

Modulation:

Derivative:

multirelation d divided by d times t times s of t equals s super prime of t equals long left right arrow cap f j times two times pi times f cap s of f

Integral:

Sampling:

n ary summation over n equals negative normal infinity under prefix plus of normal infinity over delta times left parenthesis t minus n times cap t right parenthesis long left right arrow cap f one divided by cap t times n ary summation over n equals negative normal infinity under prefix plus of normal infinity over delta times left parenthesis f minus n divided by cap t right parenthesis

Parseval:

A.2 Laplace Transform

Two-sided:

One-sided:

A.2.1 Laplace Transform ...

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