Basics of Spectral Analysis (116/117)

• Why Use the Frequency Domain?
• Time and Frequency Domain
• Spectral Analysis ... What?
• Fourier Transforms
  • Discrete Fourier Analysis
  • Fast Fourier Transform (FFT)
  • FT Basic Relationships
• Phase of Frequency Domain Components
• Spectrum Analyzers
  • Quick Look vs. Detailed Analysis
• Power Spectral Density
  • PSD, Physical Meaning
• Transfer Functions
• Data Acquisition
• Sampling Theory—Digitizing “Rules”
  • How Often to Sample?
  • Conventional Wisdom
  • Shannon’s Theorem
  • The Nyquist Frequency
• Aliasing
  • Demo: Digitizing with Different Points/Cycle
  • Aliasing Example: Correctly Sampled Set , Undersampled Set, Comparison of Data Sets
  • The Spectral View
  • Aliasing Viewed as Folding
  • The Insidious Part
  • Alias Protection with Filters
  • Aliasing/Critical Points
• FFT Distortion
  • Windowing
  • Forcing Measured Data

Basics of Spectral Analysis (ver. 116-117)