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.
Preface
Acknowledgments
Author
CHAPTER 1: Continuous and Discrete Signals
1.1 Continuous Signals
1.2 Discrete-Time Signals
1.3 Signals and System
1.4 Classification of Signals and System:-
1.5 Introduction to MATLAB in DSP
1.6 Some Fundamental Sequences
1.7 Generation of discrete signals in MATLAB
Problems
CHAPTER 2: Signals and System Properties
2.1 Periodic and Aperiodic Sequences
2.2 Even and Odd Parts of a Signal Symmetric Sequences
2.3 Signal Manipulations
2.3.1 Transformations of the Independent Variable
2.4 discrete-time systems
2.5 Linear time-invariant causal systems (LTI)
2.6 Definitions
2.7 System Output
Problems
CHAPTER 3: Convolution
3.1 Preface on Linear Convolution
3.2 Convolution Properties
3.3 Types of Convolutions
Problems
CHAPTER 4: Difference Equations
4.1 Difference Equations and Impulse Responses
4.2 System Representation Using Its Impulse Response
4.3 The methods that may use to solve the difference equations
4.4 The classical approach
Problems
CHAPTER 5: Discrete-Time Fourier Series(DTFS)
5.1 Discrete-Time Fourier Series (DTFS) Coefficients of Periodic Discrete Signals
5.2 Parseval’s relation
5.3 Discreet Fourier Series
Problems
CHAPTER 6:Discrete Time Fourier Transform (DTFT)
6.1 Frequency response
6.2 DTFT for any discrete signal
6.3 Inverse DTFT
6.4 Interconnection of Systems
6.5 DTFT properties
6.6 Applications of DTFT
6.7 LSI Systems and difference equations
6.8 Solving Difference Equations using DTFT
6.9 Frequency Response in MATLAB
Problems
CHAPTER 7: Discrete Fourier Transform(DFT)
7.1 Method of Decimation-in-Frequency
7.2 Method of Decimation-in-Time
7.3 Properties of Discrete Fourier Transform
7.4 Discrete Fourier Transform of a sequence in MATLAB
7.4 Discrete Fourier Transform of a sequence in MATLAB
7.5 Linear convolution using the DFT
7.6 Generation of Inverse Discrete Fourier Transform (IDFT) in MATLAB
Problems
CHAPTER 8: Fast Fourier Transform(FFT)
8.1 Fast Fourier Transform definition
8.3 Finding the FFT Of Different Signals in MATLAB
8.4 Equivalence of FFT and N-phase sequence component transformation
Problems
CHAPTER 9: Z-Transform
9.1 Z-Transform representation
9.2 Region of convergence (ROC)
9.3 Properties of the z-Transform
9.4 The Inverse z-Transform
9.4.1Partial fraction expansion and a look-up table
9.4.2Power Series
9.4.3 Contour Integration
Problems
CHAPTER 10: Z-Transform Applications in DSP
10.1 Evaluation of LTI System Response Using Z-Transform
10.2 Frequency Response using z-transform:
10.3 Pole Zero Diagrams For A Function In Z Domain
10.4 Frequency Response using z-transform
Problems
CHAPTER 11: Pole-Zero Stability
11.1 Concept Poles and Zeros
11.2 Difference Equation and Transfer Function
11.3 BIBO stability
11.4 The z-Plane Pole-Zero Plot and Stability
11.5 Stability rules
Problems
CHAPTER 12: Sampling
12.1 Relating the FT to the DTFT for discrete-time signals
12.2 Sampling
12.3 Band-Limited Signals
12.4 Sampling of continuous-time signals
12.5 Sampling Theorem
12.6 Bandpass Sampling
12.7 Quantization
12.8 Uniform and Non-uniform Quantization
12.9 Bandpass Sampling
12.10 Quantization
12.11 Uniform and Non-uniform Quantization
Problems
CHAPTER 13: Digital Filters
13.1 TYPES OF FILTERS
13.2 Infinite impulse response (IIR) digital filter
13.3 Finite Impulse Response (FIR) Digital Filter
13.4 Comparison of IIR and FIR digital filters
Problems
CHAPTER 14: Implementation of IIR
14.1 Direction-Form I Realization
14.2 Direction-Form II Realization
14.3 Cascade (Series) Realization
14.4 Parallel Realization
14.5 the transposition I
14.6 the transposition II
14.7 Implementation of a notch filter by MATLAB
14.8 Implementation of Infinite-Impulse Response filters
Problems
CHAPTER 15: Implementation of FIR
15.1 Finite Impulse Response (FIR) Filter Design
15.2 Design of Finite-Impulse Response Filters Using MATLAB
15.3 Design of FIR Filters Using Windows
Problems
CHAPTER 16: Digital Filter Design
16.1 IIR filter design
16.1.1Analog filter design
16.2 FIR filter design
Problems
Appendices
Appendix A: Mathematical Formula
Appendix B: Complex Numbers
Appendix C: Introduction to MATLAB®
Index
Biography
Samir I. Abood received his BSc and MSc from the University of Technology, Baghdad, Iraq in 1996 and 2001 respectively. From 1997 to 2001, he worked as an engineer at the same university. From 2001 to 2003, he was an assistant professor at the University of Baghdad and AL-Nahrain University, and from 2003 to 2016. Mr. Abood was an assistant professor at Middle Technical University / Baghdad – Iraq. Presently, he is doing his Ph.D. in the Electrical and Computer Engineering Department at Prairie View A & M University.
