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

**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

PART - A

**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

DFTs 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.

PART B

**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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