Librería Portfolio

For sophomore/junior-level signals and systems courses in Electrical and Computer Engineering departments.



This text provides a clear, comprehensive presentation of both the theory and applications in signals, systems, and transforms. It presents the mathematical background of signals and systems, including the Fourier transform, the Fourier series, the Laplace transform, the discrete-time and the discrete Fourier transforms, and the z-transform. The text integrates MATLAB examples into the presentation of signal and system theory and applications.

Features

Companion website enhances learning http://www.ee.washington.edu/class/SST_textbook/textbook.html

Numerous interactive examples and animated demonstrations that both professors and students can use to enhance learning.

Over 350 homework problems and over 150 examples

Problem sets are arranged so that sets of problems relating to a common concept are presented. The answer to at least one problem from each set is provided in an appendix.

Mathematical theory of systems and signals relates mathematical theory to practical systems

Provides students with motivation as they readily visualize applications of the theory presented.

MATLAB integrated into the examples and problems

Reinforces students´ understanding of concepts by implementing MATLAB examples. Enables students to learn to use MATLAB to assist in solving the end-of-chapter problems.

Short sections on the bilateral Laplace and z-transforms

Allows instructors to introduce these topics to their class.

Repetition of equations referenced

Saves students time by providing an easy reference.

Verification of results gives students valuable practice in problem solving

Verification of results requires that almost all problems´ results are verified by an independent procedure; this includes, but is not limited to, MATLAB.

Answer key to selected answers allows students to check their work on selected problems

Answers to selected problems are provided in the back of the text to enable students to gain instant feedback of their understanding of new concepts.

Instructor Solutions Manual for all problems

Available to instructors only.


New to this Edition

Presentation of the properties of the Fourier transform is revised and rearranged in Chapter 5.
A new subsection on the design and analysis of active filters is added in Chapter 6.
Sampling of continuous-time signals and reconstruction of signals from sample data are now collocated in Chapter 6.
A new subsection on quantization error is added to Chapter 6.
A new subsection on system step-response calculation and analysis using the Laplace transform is added to Chapter 7.
A new subsection on system frequency-response calculation and analysis using the z transform is added to Chapter 11.
A new example, showing frequency-response analysis of a finite-impulse-response (FIR) filter using the discrete-time Fourier transform (DTFT), is added in Chapter 12.
A new example, showing the use of the discrete Fourier transform (DFT) to implement a FIR filter, is added in Chapter 12.
Several new examples and MATLAB® applications are provided.
All end-of-chapter problem sets have been revised. The problems for each chapter are now grouped according to the applicable section of the chapter.


Table of Contents

Preface xvii
1 Introduction 1
1.1 Modeling 1
1.2 Continuous-Time Physical Systems 4
Electric Circuits, 4
Operational Amplifier Circuits, 6
Simple Pendulum, 9
DC Power Supplies, 10
Analogous Systems, 12
1.3 Samplers and Discrete-Time Physical Systems 14
Analog-to-Digital Converter, 14
Numerical Integration, 16
Picture in a Picture, 17
Compact Disks, 18
Sampling in Telephone Systems, 19
Data-Acquisition System, 21
1.4 MATLAB and Simulink 22

2 Continuous-Time Signals and Systems 23
2.1 Transformations of Continuous-Time Signals 24
Time Transformations, 24
Amplitude Transformations, 30
2.2 Signal Characteristics 32
Even and Odd Signals, 32
Periodic Signals, 34
2.3 Common Signals in Engineering 39
2.4 Singularity Functions 45
Unit Step Function, 45
Unit Impulse Function, 49
2.5 Mathematical Functions for Signals 54
2.6 Continuous-Time Systems 59
Interconnecting Systems, 61
Feedback System, 64
2.7 Properties of Continuous-Time Systems 65
Stability, 69
Linearity, 74
Summary 76
Problems 78
3 Continuous-Time Linear Time-Invariant Systems 90
3.1 Impulse Representation of Continuous-Time Signals 91
3.2 Convolution for Continuous-Time LTI Systems 92
3.3 Properties of Convolution 105
3.4 Properties of Continuous-Time LTI Systems 108
Memoryless Systems, 109
Invertibility, 109
Causality, 110
Stability, 111
Unit Step Response, 112
3.5 Differential-Equation Models 113
Solution of Differential Equations, 115
General Case, 117
Relation to Physical Systems, 119
3.6 Terms in the Natural Response 120
Stability, 121
3.7 System Response for Complex-Exponential Inputs 124
Linearity, 124
Complex Inputs for LTI Systems, 125
Impulse Response, 129
3.8 Block Diagrams 130
Direct Form I, 134
Direct Form II, 134
nth-Order Realizations, 134
Practical Considerations, 136
Summary 139
Problems 149

4 Fourier Series 154
4.1 Approximating Periodic Functions 155
Periodic Functions, 155
Approximating Periodic Functions, 156
4.2 Fourier Series 160
Fourier Series, 161
Fourier Coefficients, 162
4.3 Fourier Series and Frequency Spectra 165
Frequency Spectra, 166
4.4 Properties of Fourier Series 175
4.5 System Analysis 178
4.6 Fourier Series Transformations 185
Amplitude Transformations, 186
Time Transformations, 188
Summary 190
Problems 191

5 The Fourier Transform 201
5.1 Definition of the Fourier Transform 201
5.2 Properties of the Fourier Transform 210
Linearity, 211
Time Scaling, 212
Time Shifting, 214
Time Reversal, 215
Time Transformation, 216
Duality, 218
Convolution, 220
Frequency Shifting, 221
Time Integration, 224
Time Differentiation, 226
Frequency Differentiation, 231
Symmetry, 232
Summary, 233
5.3 Fourier Transforms of Time Functions 233
DC Level, 233
Unit Step Function, 233
Switched Cosine, 234
Pulsed Cosine, 234
Exponential Pulse, 236
Fourier Transforms of Periodic Functions, 236
Summary, 241
5.4 Application of the Fourier Transform 241
Frequency Response of Linear Systems, 241
Frequency Spectra of Signals, 250
Summary, 252
5.5 Energy and Power Density Spectra 253
Energy Density Spectrum, 253
Power Density Spectrum, 256
Power and Energy Transmission, 258
Summary, 260
Summary 262
Problems 263

6 Applications of the Fourier Transform 272
6.1 I deal Filters 272
6.2 Real Filters 279
RC Low-Pass Filter, 280
Butterworth Filter, 282
Bandpass Filters, 288
Active Filters, 289
Summary, 291
6.3 Bandwidth Relationships 291
6.4 Sampling Continuous-Time Signals 295
Impulse Sampling, 29