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VTU-M.TECH. COMPUTER ENGINEERING-Digital Signal Processing
Posted Date: 12 Sep 2008 Resource Type: Articles/Knowledge Sharing Category: Syllabus
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Posted By: Lenin Member Level: Diamond
Rating:  Points: 2
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Digital Signal Processing
Subject Code: 08SCE323 I.A. Marks: 50
Hours/Week: 4 Exam Hours: 03
Total Hours: 52 Exam Marks: 100
1. The Discrete Fourier Transform : Its Properties and Applications
Frequency Domain Sampling: The Discrete Fourier Transform: Frequency
Domain Sampling and Reconstruction of Discrete-Time Signals, The
Discrete Fourier Transform (DFT), The DFT as a Linear Transformation,
Relationship of the DFT to other Transforms. Properties of the DFT:
Periodicity, Linearity and Symmetry Properties, Multiplication of Two
DFT’s and Circular Convolution, Additional DFT Properties; Linear
Filtering Methods Based on the DFT: Use of the DFT in Linear Filtering,
Filtering of Long Data Sequences; Frequency Analysis of Signals using
the DFT.
2. Efficient Computation of the DFT: Fast Fourier Transform
Algorithms
Efficient Computation of the DFT: FFT Algorithms : Direct Computation
of the DFT, Divide-and-Conquer Approach to Computation of the DFT,
Radix-2 FFT Algorithms, Radix-4 FFT Algorithms, Split-Radix FFT
Algorithms, Implementation of FFT Algorithms.
Applications of FFT Algorithms: Efficient computation of the DFT of
Two Real Sequences, Efficient computation of the DFT of a 2N-Point
Real Sequence, Use of the FFT Algorithm in Linear filtering and
Correlation.
A Linear filtering approach to Computation of the DFT: The Goertzel
Algorithm, The Chirp-Z Transform Algorithm.
Quantization Effects in the Computation of the DFT: Quantization Errors
in the Direct Computation of the DFT, Quantization Errors in FFT
Algorithms.
3. Implementation of Discrete-Time Systems
Structures for the Realization of Discrete-Time Systems.
Structures for FIR Systems: Direct-Form Structures, Cascade-Form
Structures, Frequency-Sampling Structures, Lattice Structure.
Structures for IIR Systems: Direct-Form Structures, Signal Flow Graphs
and Transposed Structures, Cascade-Form Structures, Parallel-Form
Structures, Lattice and Lattice-Ladder Structures for IIR Systems.
State-Space System Analysis and Structures: State-Space Descriptions of
Systems Characterized by Difference Equations, Solution of the State-
Space Equations, Relationships between Input-Output and State-Space
Descriptions, State-Space Analysis in the Z-Domain, Additional State-
Space Structures.
Representation of Numbers: Fixed-Point Representation of Numbers,
Binary Floating-Point Representation of Numbers, Errors Resulting from
Rounding and Truncation.
Quantization of Filter Coefficients: Analysis of Sensuitivity to
Quantizatior of Filter Coefficients, Quantization of Coefficients in FIR
Filters.
Round-Off Effects in Digital Filters: Limit-Cycle Oscillations in
Recursive Systems, Scaling to Prevent Overflow, Statistical
Characterization of Quantization effects in Fixed-Point Realizations of
Digital Filters.
4. Design of Digital Filters
General Considerations: Causality and its Implications, Characteristics of
Practical Frequency-Selective Filters.
Design of FIR Filters: Symmetric And Antisymetric FIR Filters, Design of
Linear-Phase FIR Filters Using Windows, Design of Linear-Phase FIR
Filters by the Frequency-Sampling Method, Design of Optimum
Equiripple Linear-Phase FIR Filters, Design of FIR Differentiators,
Design of Hilbert Transformers, Comparison of Design Methods for
Linear-Phase FIR filters.
Design of IIR Filters from Analog Filters: IIR Filter Design by
Approximation of Derivatives, IIR Filter Design by Impulse Invariance,
IIR Filter Design by the Bilinear Transformation, The Matched-Z
Transformation, Characteristics of commonly used Analog Filters, Some
examples of Digital Filters Designs based on the Bilinear Transformation.
Frequency Transformations: Frequency Transformations in the Analog
Domain, Frequency Transformations in the Digital Domain.
Design of Digital Filters based on Least-Squares method: Padé
Approximations method, Least-Square design methods, FIR least-Squares
Inverse (Wiener) Filters, Design of IIR Filters in the Frequency domain.
Text Books:
1. John G. Proakis and Dimitris G. Manolakis: Digital Signal Processing,
3rd Edition, Pearson Education, 2003.
(Chapters 5, 6, 7 and 8)
Reference Books:
1. Paulo S. R. Diniz, Eduardo A. B. da Silva And Sergio L. Netto: Digital
Signal Processing: System Analysis and Design, Cambridge University
Press, 2002.
2. Sanjit K. Mitra: Digital Signal Processing: A Computer Based Approach,
Tata Mcgraw-Hill, 2001.
3. Alan V.Oppenheim and Ronald W.Schafer: Digital Signal Processing,
Pearson Education, 2003.
For more details, visit http://www.vtu.ac.in
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