Math 2.0

Resources / course

Wavelets and Applications X5PHEXDNMH

URIm2://res/X5PHEXDNMH
Kindcourse
CreatorsCS Sastry (instructor)
Date2026-10-27
Scopein

Expressions

e1: edition

Languageen
Date2026-10-27
Contents
  • part 1: Week 1
  • session 1: Basic functional analysis
  • session 2: Fourier Series
  • session 3: Fourier Transform-I (Fourier Integrals)
  • session 4: Fourier Transform-II (Fourier transform)
  • session 5: Fourier Transform-III (Motivations for Wavelets)
  • part 2: Week 2
  • session 6: Continuous Wavelet transform-I
  • session 7: Continuous Wavelet transform-II
  • session 8: Frames-1 || Basics of frames, tight frames
  • session 9: Frames-2 || General frames, reconstruction
  • part 3: Week 3
  • session 10: Frames-3 (Frame operator and reconstruction)
  • session 11: Frames-4 (Dual frames and their properties)
  • session 12: Frames-5 (Approximate representation of dual frame members)
  • session 13: Frames-6 (Frames of wavelets, Conditions on wavelets for frame property)
  • session 14: Frames-7 (Frames of wavelets, Dual frames of wavelets
  • part 4: Week 4
  • session 15: Riesz bases-1
  • session 16: Riesz bases-2
  • session 17: Riesz bases-3
  • session 18: Riesz bases-4
  • part 5: Week 5
  • session 19: Multiresolution Analysis-1
  • session 20: Multiresolution Analysis-2
  • session 21: Multiresolution Analysis-3
  • session 22: Multiresolution Analysis-4
  • part 6: Week 6
  • session 23: Wavelets from MRA-1
  • session 24: Wavelets from MRA-2
  • session 25: Wavelets from MRA-3
  • session 26: Wavelets from MRA-4
  • part 7: Week 7
  • session 27: Scaling functions for MRA-1
  • session 28: Scaling functions for MRA-2
  • session 29: Scaling functions for MRA-3
  • session 30: Scaling functions for MRA-4
  • part 8: Week 8
  • session 31: Scaling functions for MRA-5
  • session 32: Scaling functions for MRA-6
  • session 33: Scaling functions for MRA-7
  • session 34: Scaling functions for MRA-8
  • session 35: Scaling functions for MRA-9
  • part 9: Week 9
  • session 36: Computational aspects of wavelets-1
  • session 37: Computational aspects of wavelets-2
  • session 38: Computational aspects of wavelets-3
  • session 39: Computational aspects of wavelets-4
  • part 10: Week 10
  • session 40: Smoothness of MRA wavelets
  • session 41: Other wavelet constructions -1
  • session 42: Other wavelet constructions -2
  • part 11: Week 11
  • session 43: Multidimensional wavelets-1
  • session 44: Multidimensional wavelets-2
  • session 45: A wavelet tour of MATLAB
  • part 12: Week 12
  • session 46: Application of wavelets-1
  • session 47: Application of wavelets-2
  • session 48: Recent developments
  • session 49: Summary of the contents covered in the course

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