Wavelet Transform and Applications

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WAVELET TRANSFORM AND ME01026031
FREE PDF ME01026031
Code: ME01026031 Credits: 3 Semester 1 EAC(

Wavelet Transform and Applications

Get the full GTU study material, English & Gujarati textbook PDFs, syllabus curriculum, and solved previous year question papers.

Wavelet Transform and Applications Syllabus — Unit-wise Content

The official GTU curriculum for Wavelet Transform and Applications (subject code ME01026031) as prescribed for EAC( · Semester 1 divides the course into 7 units, covering 13 listed topics. The unit-wise breakdown below is read from the GTU syllabus document for this subject code, so you can check what the course actually covers before deciding which papers to attempt.

Download the official syllabus PDF (ME01026031)

Unit 1 Introduction

6 lecture hours

  •  Origin of wavelets and its history  Different communities of wavelet  Classification: continuous and discrete wavelet transforms  Developments in wavelet theory applications

Unit 2 Continuous Wavelet Transform

7 lecture hours

  •  Introduction  Continuous time wavelets  Definition of CWT  Constant Q factor filtering interpretation and Time Frequency Resolution  CWT as an operator  Inverse CWT

Unit 3 Introduction to the Discrete Wavelet Transform and orthogonal

7 lecture hours

  • Wavelet decomposition:  Approximations of vectors in nested linear vector subspaces  Multi-resolution Analysis of L2 (R)  Haar Scaling function  Haar wavelet  Haar wavelet decomposition.  Haar wavelet packets and application

Unit 4 MRA Ortho-normal wavelets and their relationships to filter

6 lecture hours

  • banks:  Construction of an ortho-normal MRA  Wavelet basis for the MRA  Digital filtering interpretation  Examples of orthogonal basis generating wavelets  Interpreting ortho-normal MRA for discrete time signals  Generating scaling functions and wavelets from filter coefficients

Unit 5 Bi-orthogonal Wavelets

6 lecture hours

  •  Bi-orthogonal Wavelet bases  Filtering relationship for Bi-orthogonal filters  Bi-orthogonal scaling functions and wavelets  Two dimensional wavelets  Non separable Multi- dimensional wavelets  Wavelet Packets

Unit 6 Wavelength Transform and applications

8 lecture hours

  •  Transform coding  DTWT for image compression
  • audio compression  Wavelet based audio coding
  • video coding and multi resolution Techniques  Wavelet de-noising
  • Speckle removal
  • Edge detection and object isolation  Image fusion
  • Object detection
  • discrete wavelet multi-tone modulation

Unit 7 Beyond Wavelet

5 lecture hours

  •  Ridge lets and curve lets: Ridge let transform and Digital Curve let transform  Curve let construction  Properties and applications

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