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Electronics & Communication Engineering
NOC:Foundations of Wavelets and Multirate Digital Signal Processing (Video)
Modules / Lectures
Origin of wavelets
Dilates and translates of Haar wavelet
L2 norm of a function
Piecewise constant representation of a function
Ladder of subspaces
Scaling function of Haar wavelet
Demonstration: Piecewise constant approximation of functions
Vector representation of sequences
Properties of norm
Equivalence of functions & sequences
Angle between Functions & their Decomposition
Additional Information on Direct-Sum
Introduction to filter banks
Haar Analysis filter bank in Z-domain
Haar Synthesis filter bank in Z-domain
Moving from Z-domain to frequency domain
Frequency Response of Haar Analysis Low pass Filter bank
Frequency Response of Haar Analysis High pass Filter bank
Ideal Two-band Filter bank
Disqualification of Ideal Filter bank
Realizable Two-band Filter bank
Demonstration: DWT of images
Relating Fourier transform of scaling function to filter bank
Fourier transform of scaling function
Construction of scaling and wavelet functions from filter bank
Demonstration: Constructing scaling and wavelet functions.
Conclusive Remarks and Future Prospects
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