Efnisyfirlit

• 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

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