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You are here:Open notes-->VTU-->DIGITAL-SIGNAL-PROCESSING-10CS752-


How to study this subject

Subject Code: 10CS752 I.A. Marks : 25
Hours/Week : 04 Exam Hours: 03
Total Hours : 52 Exam Marks: 100
UNIT – 1 7 Hours
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 77
Methods Based on the DFT: Use of the DFT in Linear Filtering, Filtering of
Long Data Sequences; Frequency Analysis of Signals using the DFT.
UNIT – 2 7 Hours
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.
UNIT – 3 6 Hours
Implementation of Discrete-Time Systems – 1: 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.
UNIT – 4 6 Hours
Implementation of Discrete-Time Systems – 2: 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.
UNIT – 5 6 Hours
Implementation of Discrete-Time Systems – 3: Quantization of Filter
Coefficients: Analysis of Sensitivity to Quantizatior of Filter Coefficients,
Quantization of Coefficients in FIR Filters78
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.
UNIT – 6 7 Hours
Design of Digital Filters – 1: 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 LinearPhase
FIR Filters, Design of FIR Differentiators, Design of Hilbert
Transformers, Comparison of Design Methods for Linear-Phase FIR filters.
UNIT – 7 6 Hours
Design of Digital Filters – 2: 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.
UNIT – 8 7 Hours
Design of Digital Filters – 3: Frequency Transformations: Frequency
Transformations in the Analog Domain, Frequency Transformations in the
Digital Domain.
Design of Digital Filters based on Least-Squares method: Padι
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, PHI, Indian Reprint, 2008. 

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