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Module I
Linear algebra :- (quantitative analysis)
Group, ring & Vector space, concept of Orthogonality .
Introduction to Generalised Fourier Theory.
Short Time Fourier Transform.
Basic Multirate Operations:- Upsampling, downsampling
Module II
Polyphase decomposition, Filterbanks,
Filter banks example :- Uniform DFT Filter bank & 2 channel QMF banks.
Paraunitarity, 2 channel paraunitarity QMF banks.
Applications of Multirate processing :- Fractional sampling rate conversion, sub band coding
Module III
Continuous Wavelet transform, definition, Scaling functions, basis.
Discrete Wavelet Transform.
Examples: Orthogonal wave lets (Haar&Daub4wavelets), Bi-orthogonal Wave lets.
Multiresolution Analysis, Wavelet implementation using Mallet's Algorithm
Wavelet Applications : Image Compression, Denoising.
Text Books: -
Module I :
1. Hoffman &Kunze-Linear Algebra,PHI
2. Herstien-Topics in Algebra,John Willey
Module II :
1. Proakis-Digital Signal Processing 3rd Edn.,Prentice Hall Inc.
2. P.P. Vaidyanathan- Multirate Systems and Filter banks, prentice Hall Inc.
Module III :
1. Rao & Bopardi8kar-wavelet Transforms, Addison Wesly.
2. Vetterly & Kovacevic - wavelets & Sub band coding, prentice Hall Inc.
Question Paper: -
The question paper will consist of two parts. Part 1 is to cover entire syllabus, and compulsory for 40 marks. This may contain 10 question of 4 marks each. Part II is to cover three modules. There can be three question from each module( 10 marks each )out of which two are to be answered. |
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