NPTEL : Adv. Digital Signal Processing - Multirate and wavelets (Electronics and Communication Engineering)

Co-ordinators : Prof. V.M. Gadre


Lecture 1 - Introduction

Lecture 2 - The Haar Wavelet

Lecture 3 - The Haar Multiresolution Analysis

Lecture 4 - Wavelets And Multirate Digital Signal Processing

Lecture 5 - Equivalence - Functions And Sequences

Lecture 6 - The Haar Filter Bank

Lecture 7 - Haar Filter Bank Analysis And Synthesis

Lecture 8 - Relating psi, phi and the Filters

Lecture 9 - Iterating the filter bank from Psi, Phi

Lecture 10 - Z-Domain Analysis Of Multirate Filter Bank

Lecture 11 - Two Channel Filter Bank

Lecture 12 - Perfect Reconstruction - Conjugate Quadrature

Lecture 13 - Conjugate Quadrature Filters - Daubechies Family of MRA

Lecture 14 - Daubechies' Filter Banks - Conjugate Quadrature Filters

Lecture 15 - Time And Frequency Joint Perspective

Lecture 16 - Ideal Time Frequency Behaviour

Lecture 17 - The Uncertainty Principle

Lecture 18 - Time Bandwidth Product Uncertainty

Lecture 19 - Evaluating and Bounding squareroot t.squareroot omega

Lecture 20 - The Time Frequency Plane & its Tilings

Lecture 21 - Short time Fourier Transform & Wavelet Transform in General

Lecture 22 - Reconstruction & Admissibility

Lecture 23 - Admissibility in Detail Discretization of Scale

Lecture 24 - Logarithmic Scale Discretization, Dyadic Discretization

Lecture 25 - The Theorem of (DYADIC) Multiresolution Analysis

Lecture 26 - Proof of the Theorem of (DYADIC) Multiresolution Analysis

Lecture 27 - Introducing Variants of The Multiresolution Analysis Concept

Lecture 28 - JPEG 2000 5/3 FilterBank & Spline MRA

Lecture 29 - Orthogonal Multiresolution Analysis with Splines

Lecture 30 - Building Piecewise Linear Scaling Function, Wavelet

Lecture 31 - The Wave Packet Transform

Lecture 32 - Nobel Identities & The Haar Wave Packet Transform

Lecture 33 - The Lattice Structure for Orthogonal Filter Banks

Lecture 34 - Constructing the Lattice & its Variants

Lecture 35 - The Lifting Structure & Polyphase Matrices

Lecture 36 - The Polyphase Approach - The Modulation Approach

Lecture 37 - Modulation Analysis and The 3-Band Filter Bank, Applications

Lecture 38 - The Applications *Data Mining, *Face Recognition

Lecture 39 - Proof that a non-zero function can not be both time and band-limited

Lecture 40 - M-Band Filter Banks and Looking Ahead

Lecture 41 - Tutorial -Session 1

Lecture 42 - Student's Presentation

Lecture 43 - Tutorial on Uncertainty Product

Lecture 44 - Tutorial on Two band Filter Bank

Lecture 45 - Tutorial -Frequency Domain Analysis of Two band Filter Bank

Lecture 46 - Zoom in and Zoom out using Wavelet Transform

Lecture 47 - More Thoughts on Wavelets : Zooming In

Lecture 48 - Towards selecting Wavelets through vanishing moments

Lecture 49 - In Search of Scaling Coefficients

Lecture 50 - Wavelet Applications