Completed
Angle between Functions & their Decomposition
Class Central Classrooms beta
YouTube videos curated by Class Central.
Classroom Contents
Foundations of Wavelets and Multirate Digital Signal Processing
Automatically move to the next video in the Classroom when playback concludes
- 1 Introduction
- 2 Haar wavelet
- 3 Origin of wavelets
- 4 Dyadic wavelet
- 5 Dilates and translates of Haar wavelet
- 6 L2 norm of a function
- 7 Piecewise constant representation of a function
- 8 Ladder of subspaces
- 9 Scaling function of Haar wavelet
- 10 Demonstration: Piecewise constant approximation of functions
- 11 Vector representation of sequences
- 12 Properties of norm
- 13 Parsevals theorem
- 14 Equivalence of functions & sequences
- 15 Angle between Functions & their Decomposition
- 16 Additional Information on Direct-Sum
- 17 Introduction to filter banks
- 18 Haar Analysis filter bank in Z-domain
- 19 Haar Synthesis filter bank in Z-domain
- 20 Moving from Z-domain to frequency domain
- 21 Frequency Response of Haar Analysis Low pass Filter bank
- 22 Frequency Response of Haar Analysis High pass Filter bank
- 23 Disqualification of Ideal Filter bank
- 24 Ideal Two-band Filter bank
- 25 Realizable Two-band Filter bank
- 26 Demonstration: DWT of images
- 27 Relating Fourier transform of scaling function to filter bank
- 28 Fourier transform of scaling function
- 29 Construction of scaling and wavelet functions from filter bank
- 30 Demonstration: Constructing scaling and wavelet functions.
- 31 Conclusive Remarks and Future Prospects
