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Signal Analysis

(Level: Intermediate, 1 Day, $195)

This is an intermediate level course on the analysis of signals common in sound and vibration testing such as those from accelerometers and microphones. Essential elements of general data acquisition such as filters, detectors, and sampling are covered. There is an emphasis on the use of FFT analyzers. Completion of a basic acoustics or vibration course or equivalent experience is recommended.

1) Basic Concepts

  • Simple Oscillatory Motion
    • Frequency
    • Phase
  • Fourier Series and Transform
  • Spectral Display Formats
    • Magnitude/Phase
    • Real/Imaginary
  • Scales: Lin, Log, and dB
2) Detectors
  • Pk, Pk-Pk, and RMS
  • RMS Calculation
  • Time Constants and Averaging
  • Peak Hold
3) Filters
  • Types
  • Amplitude Response
  • Phase Response and Time Delay
  • Step Response
  • Compromise: Frequency vs. Time
  • Specifications
4) Acquisition
  • General Block Diagram
  • AC and DC Coupling
  • Noise
  • Overload
  • Linearity and Distortion
  • # of Bits and Dynamic Range
  • Triggering
  • Aliasing, Nyquist, and AA Filters
5) FFT Analysis
  • FT, DFT, and FFT
  • Lines vs. Points
  • Resolution vs. Time Block
  • Leakage and Windowing
  • Overlap Processing
  • Real-time Rate
  • Averaging

6) FFT Functions

  • Block Diagram of 2 Channel Analyzer
  • Instantaneous Spectrum
  • Auto And Cross Spectrum
  • Auto and Cross Correlation
  • Frequency Response
  • Coherence
  • Impulse Response
  • Histogram
  • Probability Density
  • Power Spectral Density
7) Fractional Octave Analysis
  • Constant Bandwidth vs. Constant Percentage Bandwidth Filters
  • Why Use Fractional Octaves
  • Synthesized vs. Digital Filter
  • FFT vs. Digital Filter
8) Spectra of Common Signal
  • Sine, Square
  • Repetitive
  • Impulse
  • Decaying Sine
  • Random, White, and Pink
9) Special Topics
  • Order Analysis and Tracking
  • Zoom Processing
  • Shock Response Spectra (SRS)

 


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