Contents

• Preface
• Filtering
  • Quick start: how to filter in matlab
  • Some filter concepts
  • Standard Analog Filter topologies
  • Digital Filters
  • Implementation of Digital Filters
  
  
• The analog to digital conversion process
  • Aliasing and the Nyquist frequency
  • The delta-sigma ADC
  • oversampling
  
  
• Instrumentation
  • .
  • Tachometers / Frequency Detection
  
  
• Time domain analysis
  • Time domain differentiation (e.g. convert velocity to acceleration)
  • Time domain integration
  • Enveloping
  • Generating a signal from a frequency vector
  • Using cross-correlation to line up two periodic signals
  
  
• Frequency domain analysis
  • The Discrete Fourier Transform and Fast Fourier Transform
  • Making matlab's fft() function useful
  • Zero-Padding of FFTs
  • The windowed DFT
  • Zoom FFTs
  • Enveloped FFT
  • Total Harmonic Distortion
  • Inverse DFT
  • Reference
  
  
• Random vibrations
  • Introduction to power spectral density
  • Amplitude metrics
  • Simulating random sequences
  • Impulsive noise
  
  
• Time-Spectral Analysis
  • Short time Fourier transform
  • Gabor Transform
  • The reassignment method
  • Order tracking
  • Wavelet analysis
  • The Wigner distribution (aka the Wigner-Ville distribution)
  
  
• Experimental Modal Analysis
• AC units Conversion
• Useful formulas
  • Euler-Bernoulli Beam formulas
  
  
• Misc
• Bibliography

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This work by Daniel Kiracofe (daniel dot kiracofe at gmail dot com) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License./' $I