Wavelets- A Mathematical Microscope

Wavelets- A Mathematical Microscope

Artem Kirsanov via YouTube Direct link

Wavelet transform overview

8 of 16

8 of 16

Wavelet transform overview

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Classroom Contents

Wavelets- A Mathematical Microscope

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  1. 1 Introduction
  2. 2 Time and frequency domains
  3. 3 Fourier Transform
  4. 4 Limitations of Fourier
  5. 5 Wavelets - localized functions
  6. 6 Mathematical requirements for wavelets
  7. 7 Real Morlet wavelet
  8. 8 Wavelet transform overview
  9. 9 Mother wavelet modifications
  10. 10 Computing local similarity
  11. 11 Dot product of functions?
  12. 12 Convolution
  13. 13 Complex numbers
  14. 14 Wavelet scalogram
  15. 15 Uncertainty & Heisenberg boxes
  16. 16 Recap and conclusion

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