Signals and Systems: A Primer with MATLAB

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