Wavelets vs. Fourier Transforms in Signal Processing

why wavelets are often better than fourier n.w
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Discover why wavelets are often preferred over Fourier transforms in signal processing, offering superior time-frequency resolution. Gain insights into the advantages of short-time FFT (STFT) and continuous wavelet transform (CWT) for improved signal analysis.

  • Wavelets
  • Signal Processing
  • Short-time FFT
  • Fourier Transforms
  • CWT

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Presentation Transcript


  1. WHY WAVELETS ARE OFTEN BETTER THAN FOURIER TRANSFORMS Applied Signal Processing (ENGN 395)

  2. Signal CWT FFT Adapted from: https://www.analog.com/en/analog-dialogue/articles/jpeg-2000-image-compression.html

  3. Short-time FFT (STFT) chop data into small windows, apply FFT to each CWT: much better time-frequency resolution! Image credits: https://www.mathworks.com/videos/understanding-wavelets-part-4-an-example-application-of-continuous-wavelet-transform-121282.html

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