Signal Processing in the Frequency Domain

Signal Processing in the Frequency Domain

• Fourier Transform
  • Fourier Series
  • Fourier Transform
  • Discrete Fourier Transform
  • Fast Fourier Transform
• Envelope Spectrum Magnitude
• Statistical features in the frequency domain
  • Mean frequency
  • Median frequency
  • Maximum to minimum drop in Power Density Ratio
  • Signal to Noise Ratio
  • Signal to Motion Artifact Ratio
  • Frequency-power density mean
  • Frequency standard deviation
  • Mean frequency
  • Frequency skewness
  • p1, mean frequency
  • p2 - p4

Advantages

• Powerful analysis and accepted standard for fault detection on steady state
• A great deal of studies supports its application
• Low computational cost

Weakness

• Limited to static signals (stationary condition)

References

• niuDataDrivenTechnologyEngineering2017
• leiIntelligentFaultDiagnosis2017