DS4013 Multirate Signal Processing Syllabus:
DS4013 Multirate Signal Processing Syllabus – Anna University PG Syllabus Regulation 2021
COURSE OBJECTIVES:
To understand the need of multi-rate systems and its applications.
To understand the theory of maximally decimated filter banks.
To provide knowledge of para-unitary perfect reconstruction and (NPR) filter banks
To know about multirate filter banks and applications of multirate signal processing.
UNIT I FUNDAMENTALS OF MULTIRATE SYSTEMS
Basic multi-rate operations: up sampling and down sampling – time domain and frequency domain analysis; Aliasing and imaging, Interpolator and decimator design, Identities of multi-rate operations, Fractional sampling Rate operation, poly-phase representation. Interconnection of building blocks, multistage implementation, applications of multi-rate systems, special filters and filter banks.
UNIT II MAXIMALLY DECIMATED FILTER BANKS
Errors created in the QMF bank, alias-free QMF system, power symmetric QMF banks, M-channel filter banks, poly-phase representation, perfect reconstruction systems, alias-free filter banks, uniform and non-uniform tree structured filter banks., trans-multiplexers, Design of uniform DFT Perfect Reconstruction (PR) QMF banks.
UNIT III PARA-UNITARY PERFECT RECONSTRUCTION FILTER BANKS
Lossless transfer matrices, filter bank properties induced by paraunitariness, two channel Paraunitary lattices, M-channel FIR Para-unitary QMF banks, transform coding. Two channel FIR paraunitary QMF Bank- Linear phase PR Filter banks-Necessary conditions for Linear phase property-, Lattice structures for linear phase FIR PR QMF banks, Formal synthesis of linear phase FIR PR QMF lattice; Quantization Effects: -Types of quantization effects in filter banks. – coefficient sensitivity effects, dynamic range and scaling.
UNIT IV NEAR PERFECT RECONSTRUCTION (NPR) FILTER BANKS
Design of uniform and non-uniform cosine modulated filter banks and modified DFT filter banks, Pseudo-QMF bank and its design, efficient poly-phase structures, properties of cosine matrices, cosine modulated perfect reconstruction systems, Reducing amplitude distortion-meta heuristic optimization techniques Use of Interpolated FIR (IFIR) filters, Frequency response masking (FRM) filters and Farrow structure filters in filter banks, Multiplier-less filter banks to reduce hardware complexity, implementation.
UNIT V MULTIRATE FILTER BANKS AND APPLICATIONS OF MULTIRATE SIGNAL PROCESSING
The short time fourier transform, wavelet transform, Discretetime Orthonormal wavelets, Continuous – time Orthonormal wavelet basis, Multidimensional signals, Minimum sampling density, alias-free decimation, Multirate filter design, Applications of filter banks in Signal Processing and Communication such as hearing aids, cognitive radio, Software design radio channelizers, Analysis of audio, Speech, Image and video signals.
COURSE OUTCOMES:
CO1: Can analyze multirate systems
CO2:To be able to design decimated filter banks.
CO3:To be able to design Paraunitary Perfect Reconstruction (PR) Filter Banks.
CO4:To be able to Design Linear Phase Perfect Reconstruction QMF Banks.
CO5:Can Design and analyze Cosinemodulated Filter Banks
CO6:Can design and analyze a Multirate filter bank.
TOTAL:45 PERIODS
REFERENCE:
1. P. P. Vaidyanathan, Multirate Systems and Filter Banks, Pearson-Education, Delhi, 2004.
2. Li Tan,JeanJiang, Digital Signal Processing fundamentals and applications, Academic Press, 3rd edition 2018
3. Sanjit K Mitra ,Digital Signal Processing, Tata McGraw Hill, Fourth edition, 2011.
4. A. Spanias, T. Painter and V. Atti, Audio Signal Processing & Coding, Wiley-Inter science, NJ, USA, 2007.
5. Gilbert Strang and Truong Nguyen, “Wavelets and Filter Banks”, Wellesley-Cambridge Press,1996.
6. N. J. Fliege, Multirate Digital Signal Processing, John Wiley & Sons,USA,2000.
7. Vikram Gadre& Aditya Abhyankar, Multiresolution and Multirate Signal Processing: Introduction, Principles and Applications, McGraw Hill Education, First edition,2017.
8. Steven M. Kay , Modern Spectral Estimation, Pearson Education, First edition,2017.