Signals and Systems: A Primer with MATLAB®
468
Signals and Systems: A Primer with MATLAB®
468Hardcover(2nd ed.)
-
SHIP THIS ITEMAvailable for Pre-Order. This item will be released on July 31, 2024PICK UP IN STORE
Store Pickup available after publication date.
Available within 2 business hours
Related collections and offers
Overview
In recognition of the requirements by the Accreditation Board for Engineering and Technology (ABET) on integrating computer tools, the use of MATLAB® is encouraged in a student-friendly manner. MATLAB is introduced in Appendix B and applied gradually throughout the book.
Each illustrative example is immediately followed by a practice problem along with its answer. Students can follow the example step by step to solve the practice problem without flipping pages or looking at the end of the book for answers. These practice problems test students’ comprehension and reinforce key concepts before moving on to the next section.
Toward the end of each chapter, the authors discuss some application aspects of the concepts covered in the chapter. The material covered in the chapter is applied to at least one or two practical problems or devices. This helps students see how the concepts are applied to real-life situations.
In addition, thoroughly worked examples are given liberally at the end of every section. These examples give students a solid grasp of the solutions as well as the confidence to solve similar problems themselves. Some of the problems are solved in two or three ways to facilitate a deeper understanding and comparison of different approaches.
Ten review questions in the form of multiple-choice objective items are provided at the end of each chapter with answers. The review questions are intended to cover the "little tricks" that the examples and end-of-chapter problems may not cover. They serve as a self-test device and help students determine chapter mastery. Each chapter also ends with a summary of key points and formulas.
Designed for a three-hour semester course on signals and systems, Signals and Systems: A Primer with MATLAB® is intended as a textbook for junior-level undergraduate students in electrical and computer engineering. The prerequisites for a course based on this book are knowledge of standard mathematics (including calculus and differential equations) and electric circuit analysis.
Product Details
| ISBN-13: | 9781032468679 |
|---|---|
| Publisher: | CRC Press |
| Publication date: | 07/31/2024 |
| Edition description: | 2nd ed. |
| Pages: | 468 |
| Product dimensions: | 6.12(w) x 9.19(h) x (d) |
About the Author
Warsame H. Ali received his B.Sc from King Saud University, his M.Sc from Prairie View A&M University, and his Ph.D from the University of Houston. He is currently teaching undergraduate and graduate courses in the Electrical and Computer Engineering Department at Prairie View A&M University. He was previously with NASA, Glenn Research Center, and with Texas Instruments. Dr. Ali has authored 80 research articles in major scientific journals and conferences, given several invited talks, and received many NSF, AFRL, and DOE awards. His research interests include digital PID controllers, digital methods to electrical measurements, mixed signals testing techniques, and more.
Table of Contents
Preface xiii
Acknowledgments xv
Authors xvii
Chapter 1 Basic Concepts 1
Global Positioning System 1
1.1 Introduction 2
1.2 Basic Definitions 2
1.3 Classifications of Signals 3
1.3.1 Continuous-Time and Discrete-Time Signals 3
1.3.2 Periodic and Nonperiodic Signals 5
1.3.3 Analog and Digital Signals 6
1.3.4 Energy and Power Signals 7
1.3.5 Even and Odd Symmetry 8
1.4 Basic Continuous-Time Signals 13
1.4.1 Unit Step Function 13
1.4.2 Unit Impulse Function 14
1.4.3 Unit Ramp Function 17
1.4.4 Rectangular Pulse Function 18
1.4.5 Triangular Pulse Function 19
1.4.6 Sinusoidal Signal 19
1.4.7 Exponential Signal 20
1.5 Basic Discrete-Time Signals 25
1.5.1 Unit Step Sequence 25
1.5.2 Unit Impulse Sequence 25
1.5.3 Unit Ramp Sequence 26
1.5.4 Sinusoidal Sequence 27
1.5.5 Exponential Sequence 28
1.6 Basic Operations on Signals 30
1.6.1 Time Reversal 30
1.6.2 Time Scaling 31
1.6.3 Time Shifting 31
1.6.4 Amplitude Transformations 32
1.7 Classifications of Systems 36
1.7.1 Continuous-Time and Discrete-Time Systems 37
1.7.2 Causal and Noncausal Systems 37
1.7.3 Linear and Nonlinear Systems 39
1.7.4 Time-Varying and Time-Invariant Systems 40
1.7.5 Systems with and without Memory 41
1.8 Applications 43
1.8.1 Electric Circuit 43
1.8.2 Square-Law Device 44
1.8.3 DSP System 44
1.9 Computing with MATLAB® 45
1.10 Summary 50
Review Questions 51
Problems 52
Chapter 2 Convolution 63
Enhancing Your Communication Skills 63
2.1 Introduction 64
2.2 Impulse Response 64
2.3 Convolution Integral 65
2.4 Graphical Convolution 70
2.5 Block Diagram Representation 76
2.6 Discrete-Time Convolution 78
2.7 Block Diagram Realization 85
2.8 Deconvolution 85
2.9 Computing with MATLAB® 88
2.10 Applications 91
2.10.1 BIBO Stability of Continuous-Time Systems 91
2.10.2 BIBO Stability of Discrete-Time Systems 92
2.10.3 Circuit Analysis 93
2.11 Summary 95
Review Questions 96
Problems 97
Chapter 3 The Laplace Transform 105
Historical Profile 105
3.1 Introduction 106
3.2 Definition of the Laplace Transform 106
3.3 Properties of the Laplace Transform 110
3.3.1 Linearity 110
3.3.2 Scaling 111
3.3.3 Time Shifting 112
3.3.4 Frequency Shifting 113
3.3.5 Time Differentiation 113
3.3.6 Time Convolution 114
3.3.7 Time Integration 115
3.3.8 Frequency Differentiation 116
3.3.9 Time Periodicity 117
3.3.10 Modulation 118
3.3.11 Initial and Final Values 119
3.4 The Inverse Laplace Transform 126
3.4.1 Simple Poles 127
3.4.2 Repeated Poles 128
3.4.3 Complex Poles 129
3.5 Transfer Function 138
3.6 Applications 143
3.6.1 Integra-Differential Equations 143
3.6.2 Circuit Analysis 145
3.6.3 Control Systems 150
3.7 Computing with MATLAB® 152
3.8 Summary 157
Review Questions 158
Problems 159
Chapter 4 Fourier Series 171
Historical Profile 171
4.1 Introduction 172
4.2 Trigonometric Fourier Series 172
4.3 Exponential Fourier Series 181
4.4 Properties of Fourier Series 188
4.4.1 Linearity 188
4.4.2 Time Shifting 189
4.4.3 Time Reversal 189
4.4.4 Time Scaling 190
4.4.5 Even and Odd Symmetries 190
4.4.6 Parseval's Theorem 192
4.5 Truncated Complex Fourier Series 196
4.6 Applications 197
4.6.1 Circuit Analysis 197
4.6.2 Spectrum Analyzers 200
4.6.3 Filters 200
4.7 Computing with MATLAB® 204
4.8 Summary 208
Review Questions 210
Problems 211
Chapter 5 Fourier Transform 221
Career in Control Systems 221
5.1 Introduction 222
5.2 Definition of the Fourier Transform 222
5.3 Properties of Fourier Transform 229
5.3.1 Linearity 229
5.3.2 Time Scaling 230
5.3.3 Time Shifting 230
5.3.4 Frequency Shifting 231
5.3.5 Time Differentiation 232
5.3.6 Frequency Differentiation 232
5.3.7 Time Integration 233
5.3.8 Duality 233
5.3.9 Convolution 234
5.4 Inverse Fourier Transform 239
5.5 Applications 240
5.5.1 Circuit Analysis 241
5.5.2 Amplitude Modulation 244
5.5.3 Sampling 247
5.6 Parseval's Theorem 250
5.7 Comparing the Fourier and Laplace Transforms 253
5.8 Computing with MATLAB® 254
5.9 Summary 257
Review Questions 258
Problems 259
Chapter 6 Discrete Fourier Transform 271
Career in Communications Systems 271
6.1 Introduction 272
6.2 Discrete-Time Fourier Transform 272
6.3 Properties of DTFT 277
6.3.1 Linearity 277
6.3.2 Time Shifting and Frequency Shifting 278
6.3.3 Time Reversal and Conjugation 279
6.3.4 Time Scaling 280
6.3.5 Frequency Differentiation 281
6.3.6 Time and Frequency Convolution 282
6.3.7 Accumulation 283
6.3.8 Parseval's Relation 284
6.4 Discrete Fourier Transform 289
6.5 Fast Fourier Transform 294
6.6 Computing with MATLAB® 295
6.7 Applications 298
6.7.1 Touch-Tone Telephone 298
6.7.2 Windowing 299
6.8 Summary 301
Review Questions 302
Problems 303
Chapter 7 z-Transform 309
Codes of Ethics 309
7.1 Introduction 310
7.2 Definition of the z-Transform 311
7.3 Region of Convergence 313
7.4 Properties of the z-Transform 315
7.4.1 Linearity 316
7.4.2 Time-Shifting 316
7.4.3 Frequency Scaling 317
7.4.4 Time Reversal 318
7.4.5 Modulation 318
7.4.6 Accumulation 319
7.4.7 Convolution 320
7.4.8 Initial and Final Values 320
7.5 Inverse z-Transform 327
7.5.1 Long Division Expansion 327
7.5.2 Partial Fraction Expansion 329
7.6 Applications 332
7.6.1 Linear Difference Equation 333
7.6.2 Transfer Function 335
7.7 Computing with MATLAB® 339
7.8 Summary 343
Review Questions 344
Problems 345
Selected Bibliography 353
Appendix A Mathematical Formulas 355
Appendix B Complex Numbers 367
Appendix C Introduction to MATLAB® 375
Appendix D Answers to Odd-Numbered Problems 389
Index 415