CU4001 Wavelets and Subband Coding Syllabus:
CU4001 Wavelets and Subband Coding Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVES:
To introduce the fundamentals concepts of wavelet transforms.
To study system design using Wavelets
To learn the different wavelet families & their applications.
To study signal compression and sub-band coding
UNIT I INTRODUCTION TO WAVELETS
Introduction to Multirate signal processing- Decimation and Interpolation, Quadrature Mirror Filters, Subband coding, Limitations of Fourier transform, Short time Fourier transform and its drawbacks, Continuous Wavelet transform, Time frequency representation, Wavelet System and its characteristics, Orthogonal and Orthonormal functions and function space
UNIT II MULTIRESOLUTION CONCEPT AND DISCRETE WAVELET TRANSFORM
Multiresolution formulation of wavelet systems- signal spaces, scaling function, wavelet function and its properties, Multiresolution analysis, Haar scaling and wavelet function, Filter banks Analysis and Synthesis, 1D and 2D Discrete wavelet transform, Wavelet Packets, Tree structured filter bank, Multichannel filter bank, Undecimated wavelet transform.
UNIT III WAVELET SYSTEM DESIGN
Refinement relation for orthogonal wavelet systems, Restrictions on filter coefficients, Design of Daubechies orthogonal wavelet system coefficients, Design of Coiflet and Symlet wavelets.
UNIT IV WAVELET FAMILIES
Continuous Wavelets- Properties of Mexican hat wavelet, Morlet, Gaussian and Meyer wavelets. Orthogonal wavelets- Properties of Haar wavelets, Daubechies wavelets, Symlets, Coiflets and Discrete Meyer wavelets. Properties of Biorthogonal wavelets, Applications of wavelet families.
UNIT V SIGNAL COMPRESSION AND SUBBAND CODING
Compression Systems Based on Linear Transforms – Speech and Audio Compression – Image Compression – Video Compression – Joint Source-Channel Coding
COURSE OUTCOMES:
Upon completion of this course, the students will be able to:
CO1: Understand the fundamental concepts of wavelet transforms
CO2: Apprehend detailed knowledge about wavelet transform
CO3: Understand system design using wavelets
CO4: Compare different wavelet families
CO5: Analyze signal compression and sub-band coding
TOTAL:45 PERIODS
REFERENCES
1. C.Sidney Burrus, Ramesh Gopinath & Haito Guo, “Introduction to wavelets and wavelet transform”, Prentice Hall, 1998.
2. G.Strang and T.Nguyen, “Wavelet and filter banks”, Wesley and Cambridge Press, 1996.
3. Metin Akay, “Time frequency and wavelets in biomedical signal processing”, Wiley-IEEE Press, October 1997.
4. M.Vetterli and J. Kovacevic, “Wavelets and sub band coding”, Prentice Hall, 1995.
5. .P.Vaidyanathan, “Multi rate systems and filter banks”, Prentice Hall 1993
6. Raguveer m Rao & Ajith S. Bopardikar, “Wavelet transforms – Introduction to theory and applications”, Addison Wesley, 1998
7. S.Mallet, “A Wavelet tour of Signal Processing”, Academic Press 1998