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Adv. Digital Signal Processing - Multirate and wavelets
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Adv. Digital Signal Processing - Multirate and wavelets
by Prof. V.M. Gadre

Signal Processing is one of the important research fields that is used widely these days in different aspects of our lives. It is a wide area of research that extends from the simplest form of one-dimensional (1-D) signal processing (e.g., 1-D filters) to the complex form of multi-dimensional (M-D) (e.g. M-D filters). In signal processing, a filter...

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About This Course

Signal Processing is one of the important research fields that is used widely these days in different aspects of our lives. It is a wide area of research that extends from the simplest form of one-dimensional (1-D) signal processing (e.g., 1-D filters) to the complex form of multi-dimensional (M-D) (e.g. M-D filters). In signal processing, a filter...

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Course Curriculum
1 Sections | 50 Lecture | 44h 55min total length
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Adv. Digital Signal Processing - Multirate and wavelets

Adv. Digital Signal Processing - Multirate and wavelets

| 44h 55min total length
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    L1- Introduction

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    L2-The Haar Wavelet

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    L3-The Haar Multiresolution Analysis

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    L4-Wavelets And Multirate Digital Signal Processing

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    L5-Equivalence - Functions And Sequences

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    L6-The Haar Filter Bank

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    L7-Haar Filter Bank Analysis And Synthesis

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    L8-Relating psi, phi and the Filters

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    L9-Iterating the filter bank from Psi, Phi

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    L10-Z-Domain Analysis Of Multirate Filter Bank

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    L11-Two Channel Filter Bank

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    L12-Perfect Reconstruction - Conjugate Quadrature

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    L13-Conjugate Quadrature Filters - Daubechies Family of MRA

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    L14-Daubechies' Filter Banks - Conjugate Quadrature Filters

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    L15-Time And Frequency Joint Perspective

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    L16- Ideal Time Frequency Behaviour

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    L17- The Uncertainty Principle

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    L18- Time Bandwidth Product Uncertainty

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    L19- Evaluating and Bounding squareroot t.squareroot omega

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    L20- The Time Frequency Plane & its Tilings

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    L21- Short time Fourier Transform & Wavelet Transform in General

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    L22- Reconstruction & Admissibility

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    L23- Admissibility in Detail Discretization of Scale

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    L24- Logarithmic Scale Discretization, Dyadic Discretization

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    L25- The Theorem of (DYADIC) Multiresolution Analysis

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    L26- Proof of the Theorem of (DYADIC) Multiresolution Analysis

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    L27- Introducing Variants of The Multiresolution Analysis Concept

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    L28- JPEG 2000 5/3 FilterBank & Spline MRA

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    L29- Orthogonal Multiresolution Analysis with Splines

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    L30- Building Piecewise Linear Scaling Function, Wavelet

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    L31- The Wave Packet Transform

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    L32- Nobel Identities & The Haar Wave Packet Transform

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    L33- The Lattice Structure for Orthogonal Filter Banks

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    L34- Constructing the Lattice & its Variants

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    L35- The Lifting Structure & Polyphase Matrices

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    L36-The Polyphase Approach - The Modulation Approach

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

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    L38-The Applications *Data Mining, *Face Recognition

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    L39-Proof that a non-zero function can not be both time and band-limited?

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    L40- M-Band Filter Banks and Looking Ahead

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    L41-Tutorial -Session 1

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    L42-Student's Presentation

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    L43-Tutorial on Uncertainty Product

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    L44-Tutorial on Two band Filter Bank

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    L45-Tutorial -Frequency Domain Analysis of Two band Filter Bank

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    L46-Zoom in and Zoom out using Wavelet Transform

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    L47-More Thoughts on Wavelets : Zooming In

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    L48-Towards selecting Wavelets through vanishing moments

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    L49-In Search of Scaling Coefficients

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    L50-Wavelet Applications

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