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Electronics & Communication Engineering

Electronics & Communication

Adv Digital Signal Processing Multirate and wavelets

Adv Digital Signal Processing Multirate and wavelets

01 Introduction

02 The Haar Wavelet

03 The Haar Multiresolution Analysis

04 Wavelets And Multirate Digital Signal Processing

05 Equivalence- Functions And Sequences

06 The Haar Filter Bank

07 Haar Filter Bank Analysis And Synthesis

08 Relating psi, phi and the Filters

09 Iterating the filter bank from Psi, Phi

10 Z-Domain Analysis Of Multirate Filter Bank

11 Two Channel Filter Bank

12 Perfect Reconstruction - Conjugate Quadrature

13 Conjugate Quadrature Filters - Daubechies' Family of MRA

14 Daubechies' Filter Banks - Conjugate Quadrature Filters

15 Time And Frequency Joint Perspective

16 Ideal Time Frequency Behaviour

17 The Uncertainty Principle

18 Time Bandwidth Product Uncertainty

19 Evaluating and Bounding squareroot t.omega

20 The Time Frequency Plane & its Tilings

21 Short time Fourier Transform & Wavelet Transform in General

22 Reconstruction & Admissibility

23 Admissibility in Detail Discretization of Scale

24 Logarithmic Scale Discretization, Dyadic Discretization

25 The Theorem of (DYADIC) Multiresolution Analysis

26 Proof of the Theorem of (DYADIC) Multiresolution Analysis

27 Introducing Variants of The Multiresolution Analysis Concept

28 FilterBank Spline MRA

29 Orthogonal Multiresolution Analysis with Splines

30 Building Piecewise Linear Scaling Function, Wavelet

31 The Wave Packet Transform

32 Nobel Identities & The Haar Wave Packet Transform

33 The Lattice Structure for Orthogonal Filter Banks

34 Constructing the Lattice & its Variants

35 The Lifting Structure & Polyphase Matrices

36 The Polyphase Approach - The Modulation Approach

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

38 The Applications Data Mining Face Recognition

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

40 M-Band Filter Banks and Looking Ahead

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