9780130421555

A comprehensive set of computer exercises of varying levels of difficulty covering the fundamentals of signals and systems. The exercises require the reader to compare answers they compute in MATLAB with results and predictions made based on their understanding of material.Chapter covered include Signals and Systems; Linear Time-Invariant Systems; Fourier Series Representation of Periodic Signals; The Continuous-Time Fourier Transform; The Discrete-Time Fourier Transform; Time and Frequency Analysis of Signals and Systems; Sampling; Communications Systems; The Laplace Transform; The z-Transform; Feedback Systems.For readers interested in signals and linear systems.

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Preface

xi

Signals and Systems

1

(18)

Tutorial: Basic MATLAB Functions for Representing Signals

2

(5)

Discrete-Time Sinusoidal Signals

7

(1)

Transformations of the Time Index for Discrete-Time Signals

8

(2)

Properties of Discrete-Time Systems

10

(1)

Implementing a First-Order Difference Equation

11

(1)

Continuous-Time Complex Exponential Signals (S)

12

(2)

Transformations of the Time Index for Continuous-Time Signals (S)

14

(2)

Energy and Power for Continuous-Time Signals (S)

16

(3)

Linear Time-Invariant Systems

19

(28)

Tutorial: conv

20

(2)

Tutorial: filter

22

(4)

Tutorial: Isim with Differential Equations

26

(3)

Properties of Discrete-Time LTI Systems

29

(4)

Linearity and Time-Invariance

33

(1)

Noncausal Finite Impulse Response Filters

34

(2)

Discrete-Time Convolution

36

(2)

Numerical Approximations of Continuous-Time Convolution

38

(3)

The Pulse Response of Continuous-Time LTI Systems

41

(3)

Echo Cancellation via Inverse Filtering

44

(3)

Fourier Series Representation of Periodic Signals

47

(24)

Tutorial: Computing the Discrete-Time Fourier Series with fft

47

(4)

Tutorial: freqz

51

(1)

Tutorial: Isim with System Functions

52

(1)

Eigenfunctions of Discrete-Time LTI Systems

53

(2)

Synthesizing Signals with the Discrete-Time Fourier Series

55

(2)

Properties of the Continous-Time Fourier Series

57

(1)

Energy Relations in the Continuous-Time Fourier Series

58

(1)

First-Order Recursive Discrete-Time Filters

59

(1)

Frequency Response of a Continuous-Time System

60

(2)

Computing the Discrete-Time Fourier Series

62

(2)

Synthesizing Continuous-Time Signals with the Fourier Series (S)

64

(2)

The Fourier Representation of Square and Triangle Waves (S)

66

(3)

Continuous-Time Filtering (S)

69

(2)

The Continuous-Time Fourier Transform

71

(18)

Tutorial: freqs

71

(3)

Numerical Approximation to the Continuous-Time Fourier Transform

74

(1)

Properties of the Continuous-Time Fourier Transform

74

(5)

Time- and Frequency-Domain Characterizations of Systems

79

(2)

Impulse Responses of Differential Eqations by Partial Fraction Expansion

81

(2)

Amplitude Modulation and the Continuous-Time Fourier Transform

83

(2)

Symbolic Computation of the Continuous-Time Fourier Transform (S)

85

(4)

The Discrete-Time Fourier Transform

89

(16)

Computing Samples of the DTFT

90

(3)

Telephone Touch-Tone

93

(3)

Discrete-Time All-Pass Systems

96

(1)

Frequency Sampling: DTFT-Based Filter Design

97

(2)

System Identification

99

(2)

Partial Fraction Expansion for Discrete-Time Systems

101

(4)

Time and Frequency Analysis of Signals and Systems

105

(20)

A Second-Order Shock Absorber

106

(4)

Image Processing with One-Dimensional Filters

110

(4)

Filter Design by Transformation

114

(3)

Phase Effects for Lowpass Filters

117

(1)

Frequency Division Multiple-Access

118

(3)

Linear Prediction on the Stock Market

121

(4)

Sampling

125

(18)

Aliasing due to Undersampling

126

(2)

Signal Reconstruction from Samples

128

(3)

Upsampling and Downsampling

131

(3)

Bandpass Sampling

134

(2)

Half-Sample Delay

136

(2)

Discrete-Time Differentiation

138

(5)

Communications Systems

143

(16)

The Hilbert Transform and Single-Sideband AM

144

(3)

Vector Analysis of Amplitude Modulation with Carrier

147

(2)

Amplitude Demodulation and Receiver Synchronization

149

(3)

Intersymbol Interference in PAM Systems

152

(4)

Frequency Modulation

156

(3)

The Laplace Transform

159

(14)

Tutorial: Making Continuous-Time Pole-Zero Diagrams

159

(3)

Pole Locations for Second-Order Systems

162

(2)

Butterworth Filters

164

(1)

Surface Plots of Laplace Transforms

165

(3)

Implementing Noncausal Continuous-Time Filters

168

(5)

The z-Transform

173

(18)

Tutorial: Making Discrete-Time Pole-Zero Diagrams

174

(2)

Geometric Interpretation of the Discrete-Time Frequency Response

176

(3)

Quantization Effects in Discrete-Time Filter Structures

179

(4)

Designing Discrete-Time Filters with Euler Approximations

183

(3)

Discrete-Time Butterworth Filter Design Using the Bilinear Transformation

186

(5)

Feedback Systems

191

(10)

Feedback Stabilization: Stick Balancing

191

(3)

Stabilization of Unstable Systems

194

(3)

Using Feedback to Increase the Bandwidth of an Amplifier

197

(4)

Bibliography

201

(2)

Index

203

What is included with this book?

The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any access cards, study guides, lab manuals, CDs, etc.

The Used, Rental and eBook copies of this book are not guaranteed to include any supplemental materials. Typically, only the book itself is included. This is true even if the title states it includes any access cards, study guides, lab manuals, CDs, etc.

This book provides computer exercises for an undergraduate course on signals and linear systems. Such a course or sequence of courses forms an important part of most engineering curricula. This book was primarily designed as a companion to the second edition ofSignals and Systemsby Oppenheim and Willsky with Nawab. While the sequence of chapter topics and the notation of this book match that ofSignals and Systems,this book of exercises is self-contained and the coverage of fundamental theory and applications is sufficiently broad to make it an ideal companion to any introductory signals and systems text or course.We believe that assignments of computer exercises in parallel with traditional written problems can help readers to develop a stronger intuition and a deeper understanding of signals and linear systems. To this end, the exercises require the readers to compare the answers they compute in MATLAB with results and predictions made based on their analytic understanding of the material. The second edition has been updated to MATLAB 6, Release 12. We believe this approach actively challenges and involves the reader, providing more benefit than a passive computer demonstration. Wherever possible, the exercises have been divided into Basic, Intermediate, and Advanced Problems. In working the problems, the reader progresses from fundamental theory to real applications such as speech processing, financial market analysis and designing mechanical or communication systems. Basic Problems provide detailed instructions for readers, guiding them through the issues explored, but still requiring a justification of their results. Intermediate Problems examine more sophisticated concepts, and demand more initiative from the readers in their use of MATLAB. Finally, Advanced Problems challenge the readers' understanding of the more subtle or complicated issues, often requiring open-ended work, writing functions, or processing real data. Some of the Advanced Problems in this category are appropriate for advanced undergraduate coursework on signals and systems.Care has been taken to ensure that all the exercises in this book can be completed within MATLAB 6. To assist readers, a list of MATLAB functions used in the text can be found in the index, which notes the exercise or page number in which they are explained. Throughout this book, MATLAB functions, commands, and variables will be indicated by typewriter font. TheSsymbol following the title of an exercise indicates that the exercise requires the Symbolic Math Toolbox.A number of exercises refer to functions or data files the reader will need. These are in the Computer Explorations Toolbox, which is available from the MathWorks, Inc. via the World Wide Web.

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Computer Explorations in Signals and Systems Using MATLAB

Computer Explorations in Signals and Systems Using MATLAB

0130421553

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