Basics of Spectral Analysis (116/117)

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Chapter Outline

Chapter 9 - Basics of Spectral Analysis (Fundamentals of Vibration for Test and Design Applications)

  • 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

Video Outline

Basics of Spectral Analysis (ver. 116-117)