## OTL554 Syllabus - Wavelets And Its Applications - 2017 Regulation - Open Elective | Anna University

OTL554

WAVELETS AND ITS APPLICATIONS

L T P C

3003

OBJECTIVE:
To understand the concept of Fourier transform and short time Fourier transform.
To understand the concept of continuous time wavelet transform,
To analyze the concept of interpolation and decimation.
To understand the types of filter bank.
To analyze the concept of image compression.

UNIT I

FOURIER ANALYSIS

9

Fourier basis & Fourier Transform – failure of Fourier Transform – Need for Time-Frequency Analysis – Heisenberg‟s Uncertainty principle – Short time Fourier transform (STFT) – short comings of STFT– Need for Wavelets

UNIT II

CWT AND MRA

9

Wavelet basis – Continuous time Wavelet Transform (CWT) – need for scaling function – Multi Resolution Analysis – important wavelets: Haar– Mexican hat– Meyer– Shannon– Daubachies.

UNIT III

INTRODUCTION TO MULTIRATE SYSTEMS

9

Decimation and Interpolation in Time domain - Decimation and Interpolation in Frequency domain – Multi rate systems for a rational factor.

UNIT IV

FILTER BANKS AND DWT

9

Two channel filter bank – Perfect Reconstruction (PR) condition – relationship between filter banks and wavelet basis – DWT – Filter banks for Daubachies wavelet function.

UNIT V

APPLICATIONS

9

Feature extraction using wavelet coefficients– Image compression– interference suppression– Microcalification cluster detection– Edge detection–Faulty bearing signature identification.

TOTAL: 45 PERIODS

OUTCOMES: At the end of the course , students would be able to
Analyze the need for time frequency analysis..
Design the concept of multi resolution analysis.
Analyze the multirate system for rational factor.
Analyze the relationship between the filter bank and wavelet.
Analyze the application of wavelet.

TEXT BOOKS:
1.K.P.Soman , K.I. Ramachandran, N.G. Rasmi,”Insight Into Wavelets: From Theory to Practice” PHI Learning Private Limited, Third Edition, 2010

REFERENCES BOOKS:
1.Sidney Burrus C, “ An Introduction to Wavelets “ Academic press, 2014
2.Stephane G Mallat, A Wavelet Tour of Signal Processing:The sponse way” Academic Press, Third edition, 2008