Signals and Systems: A Primer with MATLAB

✍ Scribed by Matthew N. O. Sadiku, Warsame Hassan Ali, Sarhan M. Musa

• Publisher: CRC Press
• Year: 2024
• Tongue: English
• Leaves: 469
• Edition: 2
• Category: Library

✦ Synopsis

The idea of signals and systems arises in different disciplines such as science, engineering, economics, politics, and medicine. Typical examples of systems include radio and television, telephone networks, radar systems, computer networks, wireless communication, military surveillance systems, and satellite communication systems. Knowledge of a broad range of signals and systems is of practical value to engineering students because engineers must be familiar with signal and system concepts to analyze some specific signals and systems they will deal with in their professional lives. This book is intended to serve as a textbook for junior-level students in electrical and computer engineering. The main aim of this second edition is to improve the clarity of the first edition and fulfill the same objective as the first, which is to present continuous-time and discrete-time signals and systems to electrical and computer engineering students in a manner that is clearer, more interesting, and easier to understand than other texts.

✦ Table of Contents

Cover
Half Title
Title Page
Copyright Page
Dedication
Contents
Preface
Author Biographies
Notes to Students
Chapter 1: Basic Concepts
Global Positioning System
1.1. Introduction
1.2. Basic Definitions
1.3. Classification of Signals
1.3.1. Continuous-Time and Discrete-Time Signals
1.3.2. Periodic and Nonperiodic Signals
1.3.3. Analog and Digital Signals
1.3.4. Energy and Power Signals
1.3.5. Even and Odd Symmetry
1.4. Basic Continous-Time Signals
1.4.1. Unit Step Function
1.4.2. Unit Impulse Function
1.4.3. Unit Ramp Function
1.4.4. Rectangular Pulse Function
1.4.5. Triangular Pulse Function
1.4.6. Sinusoidal Signal
1.4.7. Exponential Signal
1.5. Basic Discrete-Time Signals
1.5.1. The Unit Step Sequence
1.5.2. The Unit Impulse Sequence
1.5.3. Unit Ramp Sequence
1.5.4. Sinusoidal Sequence
1.5.5. Exponential Sequence
1.6. Basic Operations on Continous Signals
1.6.1. Time Reversal
1.6.2. Time Scaling
1.6.3. Time Shifting
1.6.4. Amplitude Transformations
1.7. Basic Operations on Discrete Signals
1.7.1. Time Shifting
1.7.2. Time Reversal
1.7.3. Expansion
1.8. Classification of Systems
1.8.1. Continuous-Time and Discrete-Time Systems
1.8.2. Causal and Noncausal Systems
1.8.3. Linear and Nonlinear Systems
1.8.4. Time-Varying and Time-Invariant Systems
1.8.5. Systems With and Without Memory
1.9. Applications
1.9.1. Electric Circuits
1.9.2. Square-Law Devices
1.9.3. DSP Systems
1.10. Computing With MATLAB®
Summary
Review Questions
Problems
Chapter 2: Convolution
Enhancing Your Communication Skills
2.1. Introduction
2.2. Impulse Response
2.3. The Convolution Integral
2.4. Graphical Convolution
2.5. Block Diagram Representation
2.6. Discrete-Time Convolution
2.7. Block Diagram Realization
2.8. Deconvolution
2.9. Computing With MATLAB®
2.10. Applications
2.10.1. BIBO Stability of Continuous-Time Systems
2.10.2. BIBO Stability of Discrete-Time Systems
2.10.3. Circuit Analysis
Summary
Review Questions
Problems
Chapter 3: The Laplace Transform
Historical Profile
3.1. Introduction
3.2. Definition of the Laplace Transform
3.3. Properties of the Laplace Transform
3.3.1. Linearity
3.3.2. Scaling
3.3.3. Time Shifting
3.3.4. Frequency Shifting
3.3.5. Time Differentiation
3.3.6. Time Convolution
3.3.7. Time Integration
3.3.8. Frequency Differentiation
3.3.9. Time Periodicity
3.3.10. Modulation
3.3.11. Initial and Final Values
3.4. The Inverse Laplace Transform
3.4.1. Simple Poles
3.4.2. Repeated Poles
3.4.3. Complex Poles
3.5. Transfer Function
3.6. Applications
3.6.1. Integrodifferential Equations
3.6.2. Circuit Analysis
3.6.3. Control Systems
3.7. Computing With MATLAB®
Summary
Review Questions
Problems
Chapter 4: The Fourier Series
Historical Profile
4.1. Introduction
4.2. Trigonometric Fourier Series
4.3. Exponential Fourier Series
4.4. Properties of Fourier Series
4.4.1. Linearity
4.4.2. Time Shifting
4.4.3. Time Reversal
4.4.4. Time Scaling
4.4.5. Even and Odd Symmetries
4.4.6. Parseval’s Theorem
4.5. Truncated Complex Fourier Series
4.6. Applications
4.6.1. Circuit Analysis
4.6.2. Spectrum Analyzers
4.6.3. Filters
4.7. Computing With MATLAB®
Summary
Review Questions
Problems
Chapter 5: The Fourier Transform
5.1. Introduction
5.2. Definition of the Fourier Transform
5.3. Properties of Fourier Transform
5.3.1. Linearity
5.3.2. Time Scaling
5.3.3. Time Shifting
5.3.4. Frequency Shifting
5.3.5. Time Differentiation
5.3.6. Frequency Differentiation
5.3.7. Time Integration
5.3.8. Duality
5.3.9. Convolution
5.4. Inverse Fourier Transform
5.5. Applications
5.5.1. Circuit Analysis
5.5.2. Amplitude Modulation
5.5.3. Sampling
5.6. Parseval’s Theorem
5.7. Comparing the Fourier and Laplace Transforms
5.8. Computing With MATLAB®
Summary
Review Questions
Problems
Chapter 6: Discrete Fourier Transform
Campus Communication Network
6.1. Introduction
6.2. Discrete-Time Fourier Transform
6.3. Properties of DTFT
6.3.1. Linearity
6.3.2. Time Shifting and Frequency Shifting
6.3.3. Time Reversal and Conjugation
6.3.4. Time Scaling
6.3.5. Frequency Differentiation
6.3.6. Time and Frequency Convolution
6.3.7. Accumulation
6.3.8. Parseval’s Relation
6.4. Discrete Fourier Transform
6.5. Fast Fourier Transform
6.6. Computing With MATLAB®
6.7. Applications
6.7.1. Touch-Tone Telephone
6.7.2. Windowing
Summary
Review Questions
Problems
Chapter 7: z-Transform
Codes of Ethics
7.1. Introduction
7.2. Definition of the z-Transform
7.3. Region of Convergence
7.4. Properties of the z-Transform
7.4.1. Linearity
7.4.2. Time Shifting
7.4.3. Frequency Scaling
7.4.4. Time Reversal
7.4.5. Modulation
7.4.6. Accumulation
7.4.7. Convolution
7.4.8. Initial and Final Values
7.5. Inverse z-Transform
7.5.1. Long Division Expansion
7.5.2. Partial Fraction Expansion
7.6. Applications
7.6.1. Linear Difference Equation
7.6.2. Transfer Function
7.7. Computing With MATLAB®
Summary
Review Questions
Problems
Appendix A: Mathematical Formulas
Appendix B: Complex Numbers
Appendix C: MATLAB®
Appendix D: Answers to Odd-Numbered Problems
Index