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Lecture

Lecture Notes

The lecture notes can be downloaded Initiates file downloadhere (38 MB, last edit on April 13, 2017)

Material

DateContentRemarks
October 19Initiates file downloadHandout on Fourier series(updated on October 26)
October 26Initiates file downloadExample on the Gibbs phenomenon
October 26Initiates file downloadSlides on Hilbert spaces
November 7Initiates file downloadNotebook examples on dilation and scaling
November 7Initiates file downloadSlides on the Haar basis functions
November 7Initiates file downloadNotebook example for function approximation with Haar wavelets(updated on November 8)
November 15Initiates file downloadNotebook with a demo application of the Haar transform
November 15Initiates file downloadSlides on the Haar wavelet transform
November 15Initiates file downloadSlides on the estimation of Haar coefficients
November 15Initiates file downloadSlides with a demo of the Haar approximation
November 15Initiates file downloadOverview on functions and operations for Haar wavelets
November 16Initiates file downloadNotebook with examples on the Fourier transform
November 16Initiates file downloadSlides on "Fourier Essentials"
November 22Initiates file downloadNotebook with a demo on the 1-D Haar transform
November 22Initiates file downloadNotebook on the estimation of Haar coefficients on a jump discontinuity
November 28Initiates file downloadNotebook on filtering discrete signals
November 28Initiates file downloadSlides on filters and signals
November 28Initiates file downloadOverview page on convolution identities for periodic functions and sequences
December 5Initiates file downloadSlides on orthogonal filters and reconstruction, Daubechies and Coiflet filters
December 5Initiates file downloadSlides with a short summary of the construction of Daubechies filters
December 5Initiates file downloadNotebook on the construction of Daubechies D4 and D6 filters
December 5Initiates file downloadNotebook on the construction of C6 filters
December 5Initiates file downloadNotebook containing some examples of wavelet filter coefficients
December 12Initiates file downloadSlides: From filters to scaling and wavelet functions via the cascade algorithm or via dyadic interpolation
December 12Initiates file downloadNotebook on approximation of scaling and wavelet functions using the cascade algorithm
December 12Initiates file downloadNotebook on filters and matrices of all currently considered filters
December 12Initiates file downloadSynopsis on discrete wavelet transforms
December 12Initiates file downloadNotebook on dyadic approximation of the scaling and wavelet functions
December 13Initiates file downloadSlides "A closer look at the cascade algorithm"
December 13Initiates file downloadNotebook on the approximation of polynomial functions by wavelet scaling functions
December 13Initiates file downloadNotebook on filters and matrices of all currently considered filters
December 19Initiates file downloadSlides "Denoising using Wavelets"
December 19Initiates file downloadNotebook "Denoising using Wavelets" (Part 1)
December 19Initiates file downloadNotebook "Denoising using Wavelets" (Part 2)
December 19Initiates file downloadNotebook "Denoising using Wavelets" (Part 3)
December 19Initiates file downloadNotebook "Denoising using Wavelets" (Part 4)
January 11Initiates file downloadNotebook on bit approximation
January 11Initiates file downloadNotebook on embedded trees in 1-D DWT
January 11Initiates file downloadNotebook on progressive transmission
January 11Initiates file downloadSlides on the SPIHT method
January 11Initiates file downloadNotebook with examples on the SPIHT method
January 21Initiates file downloadSlides on Multiresolution Analysis
January 21Initiates file downloadNotebook on orthogonality of the sinc function
January 21Initiates file downloadNotebook on approximation and vanishing moments
January 24Initiates file downloadSlides on Biorthogonal Filter Pairs and Wavelets
January 24Initiates file downloadNotebook on biorthogonal filter pairs (B-splines, CDF-7/9)
January 24Initiates file downloadSlides on the constructon of biorthogonal filter pairs
January 24Initiates file downloadNotebook on approximations with hat functions
January 24Initiates file downloadSlides to motivate bi-orthogonality
January 24Initiates file downloadNotebook on approximation and vanishing moments
January 31Initiates file downloadSlides on construction of orthogonal and biorthogonal wavelets via lifting
January 31Initiates file downloadNotebook on the CDF 7/9 filter pair
February 6Initiates file downloadNotebook with an illustration of the Continuous Wavelet Transform (CWT)
February 6Initiates file downloadSlides on Continuous wavelet transform and edge detection
February 6Initiates file downloadNotebook with an illustration of the a-trous algorithm
February 6Initiates file downloadSlides on wavelets and edge detection
February 6Initiates file downloadNotebook on edge detection with the Sobel operator
February 6Initiates file downloadNotebook on edge detection with wavelets
February 6Initiates file downloadNotebook with an illustration on edge detection