Adv. Digital Signal Processing - Multirate and wavelets

By
Gadre, V. M.
(2014-02)

Modules / Lectures : Introduction ; The Haar Wavelet ; The Haar Multiresolution Analysis ; Wavelets And Multirate Digital Signal Processing ; Equivalence - Functions And Sequences ; The Haar Filter Bank ; Haar Filter Bank Analysis And Synthesis ; Relating psi, phi and the Filters ; Iterating the filter bank from Psi, Phi ; Z-Domain Analysis Of Multirate Filter Bank ; Two Channel Filter Bank ; Perfect Reconstruction - Conjugate Quadrature ; Conjugate Quadrature Filters - Daubechies Family of MRA ; Daubechies' Filter Banks - Conjugate Quadrature Filters ; Time And Frequency Joint Perspective ; Ideal Time Frequency Behaviour ; The Uncertainty Principle ; Time Bandwidth Product Uncertainty ; Evaluating and Bounding squareroot t.squareroot omega ; The Time Frequency Plane & its Tilings ; Short time Fourier Transform & Wavelet Transform in General ; Reconstruction & Admissibility ; Admissibility in Detail Discretization of Scale ; Logarithmic Scale Discretization, Dyadic Discretization ; The Theorem of (DYADIC) Multiresolution Analysis ; Proof of the Theorem of (DYADIC) Multiresolution Analysis ; Introducing Variants of The Multiresolution Analysis Concept ; JPEG 2000 5/3 FilterBank & Spline MRA ; ; Orthogonal Multiresolution Analysis with Splines ; Building Piecewise Linear Scaling Function, Wavelet ; The Wave Packet Transform ; Nobel Identities & The Haar Wave Packet Transform ; The Lattice Structure for Orthogonal Filter Banks ; Constructing the Lattice & its Variants ; The Lifting Structure & Polyphase Matrices ; The Polyphase Approach - The Modulation Approach ; Modulation Analysis and The 3-Band Filter Bank, Applications ; The Applications *Data Mining, *Face Recognition ; Proof that a non-zero function can not be both time and band-limited ; M-Band Filter Banks and Looking Ahead ; Tutorial -Session 1 ; Student's Presentation ; Tutorial on Uncertainty Product ; Tutorial on Two band Filter Bank ; Tutorial -Frequency Domain Analysis of Two band Filter Bank ; Zoom in and Zoom out using Wavelet Transform ; More Thoughts on Wavelets : Zooming In ; Towards selecting Wavelets through vanishing moments ; In Search of Scaling Coefficients ; Wavelet Applications ;

Published by:

National Programme on Technology Enhanced Learning (NPTEL)

DOER Persistent Identifier: http://doer.col.org/handle//123456789/3810
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