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DIGITAL SIGNAL PROCESSING (18EE63)

 

DIGITAL SIGNAL PROCESSING

Course Code 18EE63 
CIE Marks 40
Number of Lecture Hours/Week (L:T:P)
(L:T:P) 3:2:0 
SEE Marks 60
Credits 04 
Exam Hours 03

Course Learning Objectives:

 To define Discrete Fourier transform and its proper ties.
 To evaluate DFT of various signals using properties of DFT.
 To explain different linear filtering techniques.
 To explain the evaluation of DFT and inverse DFT using fast and efficient al gorithms
 To discuss impulse invariant transformation, bilinear transformation techniques and their    proper ties.
 To design infinite impulse response Butterworth digital filters using impulse invariant and
bilin ear transformation techniques.
 To design infinite impulse response Chebyshev digital filters using impulse invariant and
bilin ear transformation techniques.
 To discuss direct, cascade, parallel and ladder methods of realizing a digital IIR filter.
 To discuss window functions used for the design of FIR filters.
 To discuss windowing technique of designing FIR filter.
 To discuss frequency sampling technique of designing FIR filter.
 To discuss direct, cascade and linear phase form of realizing a digital FIR filter.


Module-1

Discrete Fourier Transforms: Definitions, properties-linearity, shift, symmetry Properties- circulaconvolution – periodic convolution, use of tabular arrays, circular arrays, Stock ham’s method, linear convolution – two finite duration sequence, one finite & one infinite duration, overlap add and save methods.

Click here to download Module-1


Module-2

Fast Fourier Transforms Algorithms: Introduction, decimation in time algorithm, first
decomposition, number of computations, continuation of decomposition, number of mul ti plicati onscomputational efficiency, decimation in frequency algorithms, Inverse radix – 2 algor ithms.


Module-3

Design of IIR Digital Filters: Introduction, impulse invariant transformation, bilinear
transformations, All pole analog filters- Butterworth & Chebyshev filters, design of digitaButterworth filter by impulse invariant transformation and bilinear transformation, Frequenctransformations.

Module-4

Design of IIR Digital Filters (Continued): Design of digital Chebyshev type 1filter by impulsinvariant transformation and bilinear transformation, Frequency transformations.
Realization of IIR digital systems: direct form, cascade form and parallel form, Ladder struct ur es foequal degree polynomial 

Module-5

Design of FIR Digital Filters: Introduction, windowing, rectangular, modified rectangular. Hamming, Hanning, Blackman window, design of FIR digital filters by use of windows, Design of FIR digital filters-frequency sampling techniques.
Realization of FIR systems: direct form, cascade form, linear phase form.

Course Outcomes: At the end of the course the student will be able t o:

 Apply DFT and IDFT to perform linear filtering techniques on given sequences to determine the output.
 Apply fast and efficient algorithms for computing DFT and inverse DFT of a given sequence
 Design and realize infinite impulse response Butterworth and Chebyshev digital filters using impulse invariant and bilinear transformation techniques.
 Develop a digital IIR filter by direct, cascade, parallel, ladder and FIR filter by direct, cascade and linear phase methods of realization.
 Design and realize FIR filters by use of window function and frequency sampling method.


Question paper pattern:

 The question paper will have ten questi ons.
 Each full question is for 20 marks.
 There will be 2 full questions (with a maximum of three sub questions in one full
question)from each modul e.
 Each full question with sub questions will cover the contents under a modul e.
 St udents will have to a nswer 5 ful l questi ons, selecting on e ful l questi on from each modul e.

Text Book:

1 Introduction to Digital SignaProcessing Jhonny R. Jhonson Pearson 1st Edition, 2016

Reference Books

1. Digital Signal Processing – Pr inciples, Algorithms, and ApplicationJhon G. Proakis
Dimitris G. Manola kis Pearson 4th Edition, 2007.
2. Digital Signal Processing A.NagoorKani McGraw Hill 2nd Edition, 2012
3 Digital Signal Processing Shaila D. Apte Wiley 2nd Edition, 2009
4 Digital Signal Processing Ashok Amberdar Cengage 1st Edition, 2007
5 Digital Signal Processing Tarun Kumar Rawat Oxford 1st Edition, 2015

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