Digital Signal Processing

A Primer With MATLAB®

Samir I. Abood

• Publisher: CRC Press
• Year: 2020
• Print ISBN: 9781032337166
• eBook ISBN: 9781000765755
• Edition: 1
• Topic: Technology & Engineering
• Subtopic: Electrical Engineering & Telecommunications
• Index: Technology & Engineering

Digital Signal Processing: A Primer with MATLAB® provides excellent coverage of discrete-time signals and systems. At the beginning of each chapter, an abstract states the chapter objectives. All principles are also presented in a lucid, logical, step-by-step approach. As much as possible, the authors avoid wordiness and detail overload that could hide concepts and impede understanding.

In recognition of 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 C and applied gradually throughout the book.

Each illustrative example is immediately followed by practice problems along with its answer. Students can follow the example step-by-step to solve the practice problems 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 onto 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. It helps students see how the concepts are used in real-life situations.

Also, 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 hte problems are solved in two or three ways to facilitate a deeper understanding and comparison of different approaches.

Designed for a three-hour semester course, Digital Signal Processing: A Primer with MATLAB® is intended as a textbook for a senior-level undergraduate student in electrical and computer engineering. The prerequisites for a course based on this book are knowledge of standard mathematics, including calculus and complex numbers.

1 Continuous and Discrete Signals

Mathematically, signals are represented as a function of one or more independent variables. At this point, we are focusing the attention on signals that involve a single independent variable. Conventionally, it will generally refer to the independent variable as time. There are two types of signals: continuous-time signals and discrete-time signals. In this chapter will focus on the kinds of signals

This chapter gives you a quick way to become familiar with the MATLAB software by introducing you the basic features, commands, and functions. You will discover that entering and solving complex numbers in MATLAB is as easy as entering and solving real numbers, especially with the help of MATLAB built-in complex functions. Upon completion this chapter, and Appendix A you should know how to start MATLAB, how to get HELP, how to assign variables in MATLAB and to perform the typical complex numbers operations (i.e., complex conjugate, addition, subtraction, multiplication, division, expression simplification) and the conversions of complex numbers in both rectangular and polar forms with and without using MATLAB built-in functions.

1.1 Continuous Signals

The continuous-time signal is the signals or quantities that can be defined and represented at certain time instants of the sequence. A speech signal as a function of time can be classified as a continuous-time signal while the discrete-time signal is the signals or quantities that can be defined and represented at certain time instants of the sequence. The weekly Dow Jones stock market index is an example of a discrete-time signal.

To distinguish between continuous-time and discrete-time signals, we use the symbol “t” to denote the continuous variable and “n” to indicate the discrete-time variable. And for the continuous-time signals, we will enclose the independent variable in parentheses (•), for discrete-time signals we will insert the independent variable in square brackets [•].

...

Table of contents

• Cover
• Half-Title
• Title
• Copyright
• Dedication
• Contents
• Preface
• Acknowledgments
• Author
• Chapter 1 Continuous and Discrete Signals
• Chapter 2 Signals Properties
• Chapter 3 Convolution
• Chapter 4 Difference Equations
• Chapter 5 Discrete-Time Fourier Series
• Chapter 6 Discrete-Time Fourier Transform (DTFT)
• Chapter 7 Discrete Fourier Transform (DFT)
• Chapter 8 Fast Fourier Transform (FFT)
• Chapter 9 Z-Transform
• Chapter 10 Z-Transform Applications in DSP
• Chapter 11 Pole-Zero Stability
• Chapter 12 Sampling
• Chapter 13 Digital Filters
• Chapter 14 Implementation of IIR
• Chapter 15 Implementation of FIR
• Chapter 16 Digital Filter Design
• Selected Bibliography
• Appendix A: Complex Numbers
• Appendix B: Mathematical Formulas
• Appendix C: MATLAB
• Index