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• About the Author
• Contents at a Glance
• Table of Contents
• Introduction
• About This Book
• Conventions Used in This Book
• What You’re Not to Read
• Foolish Assumptions
• How This Book Is Organized
• Icons Used in This Book
• Where to Go from Here
• Part I: Getting Started with Signals and Systems
• Chapter 1: Introducing Signals and Systems
• Applying Mathematics
• Getting Mixed Signals . . . and Systems
• Classifying Signals
• Signals and Systems in Other Domains
• Testing Product Concepts with Behavioral Level Modeling
• Exploring Familiar Signals and Systems
• Using Computer Tools for Modeling and Simulation
• Seeing the Big Picture
• Chapter 2: Brushing Up on Math
• Revealing Unknowns with Algebra
• Making Nice Signal Models with Trig Functions
• Manipulating Numbers: Essential Complex Arithmetic
• Catching Up with Calculus
• Finding Polynomial Roots
• Chapter 3: Continuous-Time Signals and Systems
• Considering Signal Types
• Getting Hip to Signal Classifications
• Transforming Simple Signals
• Checking Out System Properties
• Choosing Linear and Time-Invariant Systems
• Chapter 4: Discrete-Time Signals and Systems
• Exploring Signal Types
• Surveying Signal Classifications in the Discrete-Time World
• Computer Processing: Capturing Real Signals in Discrete-Time
• Classifying Systems in Discrete-Time
• Part II: Exploring the Time Domain
• Chapter 5: Continuous-Time LTI Systems and the Convolution Integral
• Establishing a General Input/Output Relationship
• Working with the Convolution Integral
• Stepping Out and More
• Chapter 6: Discrete-Time LTI Systems and the Convolution Sum
• Specializing the Input/Output Relationship
• Simplifying with Convolution Sum Properties and Techniques
• Working with the Convolution Sum
• Chapter 7: LTI System Differential and Difference Equations in the Time Domain
• Getting Differential
• Checking out the Difference Equations
• Part III: Picking Up the Frequency Domain
• Chapter 8: Line Spectra and Fourier Series of Periodic Continuous-Time Signals
• Sinusoids in the Frequency Domain
• General Periodic Signals: The Fourier Series Representation
• Chapter 9: The Fourier Transform for Continuous-Time Signals and Systems
• Tapping into the Frequency Domain for Aperiodic Energy Signals
• Getting Around the Rules with Fourier Transforms in the Limit
• LTI Systems in the Frequency Domain
• Chapter 10: Sampling Theory
• Seeing the Need for Sampling Theory
• Periodic Sampling of a Signal: The ADC
• Analyzing the Impact of Quantization Errors in the ADC
• Analyzing Signals in the Frequency Domain
• Applying the Low-Pass Sampling Theorem
• Reconstructing a Bandlimited Signal from Its Samples: The DAC
• Chapter 11: The Discrete-Time Fourier Transform for Discrete-Time Signals
• Getting to Know DTFT
• Working with Special Signals
• LTI Systems in the Frequency Domain
• Taking Advantage of the Convolution Theorem
• Chapter 12: The Discrete Fourier Transform and Fast Fourier Transform Algorithms
• Establishing the Discrete Fourier Transform
• The DFT/IDFT Pair
• DFT Theorems and Properties
• Computing the DFT with the Fast Fourier Transform
• Application Example: Transform Domain Filtering
• Part IV: Entering the s- and z-Domains
• Chapter 13: The Laplace Transform for Continuous-Time
• Seeing Double: The Two-Sided Laplace Transform
• Digging into the One-Sided Laplace Transform
• Checking Out LT Properties
• Getting Back to the Time Domain
• Working with the System Function
• Chapter 14: The z-Transform for Discrete-Time Signals
• The Two-Sided z-Transform
• The Region of Convergence
• Returning to the Time Domain
• Surveying z-Transform Properties
• Leveraging the System Function
• Chapter 15: Putting It All Together: Analysis and Modeling Across Domains
• Relating Domains
• Using PyLab for LCC Differential and Difference Equations
• Mashing Domains in Real-World Cases
• Part V: The Part of Tens
• Chapter 16: More Than Ten Common Mistakes to Avoid When Solving Problems
• Miscalculating the Folding Frequency
• Getting Confused about Causality
• Plotting Errors in Sinusoid Amplitude Spectra
• Missing Your Arctan Angle
• Being Unfamiliar with Calculator Functions
• Foregoing the Return to LCCDE
• Ignoring the Convolution Output Interval
• Forgetting to Reduce the Numerator Order before Partial Fractions
• Forgetting about Poles and Zeros from H(z)
• Missing Time Delay Theorems
• Disregarding the Action of the Unit Step in Convolution
• Chapter 17: Ten Properties You Never Want to Forget
• LTI System Stability
• Convolving Rectangles
• The Convolution Theorem
• Frequency Response Magnitude
• Convolution with Impulse Functions
• Spectrum at DC
• Frequency Samples of N-point DFT
• Integrator and Accumulator Unstable
• The Spectrum of a Rectangular Pulse
• Odd Half-Wave Symmetry and Fourier Series Harmonics
• Index