Course Coordinator 2018-19, Semester-II L T P C

Lavanya Kovvuru Digital Signal Processing 3 0 0 3

Total Contact Hours– 63
Prerequisite: Signals and systems
Course Completion Status Report

Course objectives:

1. To understand the mathematical approach to manipulate discrete time signals

2. To provide the knowledge about the principles behind the discrete Fourier transform (DFT) and its fast computation
3. To study the design techniques of FIR and IIR Filters
4. To study the different digital structures available to implement the filter design
5. To be able to implement signal processing algorithms in Software
6. To understand the concept of Multirate digital signal processing.

***** Lecture Plan****

Lecture Date Contact Completion Remarks Weekly Monthly

Topics to be covered Hours Status(Yes/ test test
No)
Unit -1: Discrete time signals & systems
L -1 01/01/19 Basic elements of Digital signal 1.5 Yes
Processing, concept of discrete time
signals
L-2 03/01/19 characterization and classification of 1.5 Yes
signals, typical signal processing
operations WT-1
L -3 04/01/19 advantages of DSP over analog signal 1.5 Yes
processing, the concept of frequency in
continuous-time and discrete-time signals
L-4 07/01/19 Tutorial 1.5 Yes
L-5 08/01/19 Basic idea of sampling and reconstruction 1.5 Yes
of signal, sampling theorem WT-2
L -6 09/01/19 Discrete time systems, Time domain 1.5 Yes
characterization of LTI DTS: Convolution
sum
L-7 17/01/19 LTI DTS: Impulse & Step Responses 1.5 Yes MT-1
L-8 18/01/19 Simple Interconnection schemes, Linear 1.5 Yes
Constant Coefficient Difference Equations,
Classification of LTI DTS: FIR & IIR,
Recursive, & Non‐recursive.
L-9 21/01/19 Tutorial. 1.5 Yes
Unit-II: DTFT & Z-Transforms
L-10 23/01/19 Representation of sequences by DTFT, 1.5 Yes
Symmetry properties of the DTFT
L-11 24/01/19 Symmetry properties of the DTFT, DTFT 1.5 Yes WT-3
theorems
L-12 25/01/19 Frequency domain characterizations of LTI 1.5 Yes
Discrete time systems
L-13 28/01/19 Yes
Definition, mapping between s-plane and
z-plane, unit circle, Region of convergence 1.5
(ROC), ROC properties
L-14 30/01/19 properties of Z-transform, Z transform on Yes
sequences with examples and exercises,
1.5
characteristic families of signals along with
ROCs
L-15 31/01/19 convolution, correlation and multiplication Yes
using Z-transform, initial value theorem, 1.5 WT-4
Perseval’s relation
L-16 01/02/19 Yes
Inverse Z-transform by contour integration,
power series & partial-fraction expansions 1.5
with examples and exercises
L-17 04/02/19 Tutorial 1.5 Yes
Unit-III: DFT& FFT
L-18 06/02/19 DFT: The Fourier transform of periodic Yes
1.5
signals, Sampling the Fourier transform,
L-19 07/02/19 The DFT and its properties, Circular and Yes
1.5
linear convolution using the DFT.
L-20 08/02/19 FFT: Efficient computation of the DFT, Yes WT-5
Goertzel algorithm, Decimation in‐Time 1.5
FFT algorithm
L-21 11/02/19 Decimation‐in‐Frequency FFT algorithm Yes
1.5
and exercises
L-22 13/02/19 Tutorial 1.5 Yes
Unit-IV: IIR & FIR Digital Filters
L-23 14/02/19 IIR Digital Filters: Analog filter 1.5 Yes MT-2
L-24 15/02/19 approximations: Butterworth and 1.5 Yes
WT-6
L-25 18/02/19 Chebyshev Filters 1.5 Yes
L-26 20/02/19 Design of Digital IIR filters from 1.5 Yes
Analog filters
L-27 21/02/19 Impulse Invariant Transformation & Yes
Bilinear Transformation, Analog and 1.5
Digital frequency transformations
L-28 22/02/19 Tutorial 1.5 Yes
L-29 25/02/19 FIR Digital Filters: Characteristics and
1.5
Yes
frequency response of FIR Digital Filters
L-30 27/02/19 Design of FIR Digital Filters: 1.5 Yes
L-31 28/02/19 Windowing method, Frequency Yes WT-7
1.5
sampling method.
L32 01/03/19 Tutorial 1.5 Yes
Unit V: Digital Filter Structures
L-33 06/03/19 Block diagram representation: basic Yes
building blocks, analysis of block 1.5
diagrams,
L-34 07/03/19 Basic FIR digital filter structures: Direct Yes
1.5
Form structures
L-35 11/03/19 Cascade form structures 1.5 Yes
WT-8
L-36 13/03/19 poly-phase realization 1.5 No To be completed MT-3
L-37 14/03/19 Tutorial 1.5 No
L-38 18/03/19 FIR Cascaded lattice structures 1.5 No
L-39 20/03/19 IIR Cascaded lattice structures 1.5 No
L-40 22/03/19 Tutorial 1.5 No
25/03/19 Unit V: Filter Realizations Using CAD
Tools & Multirate signal processing:
L-41 27/03/19 Design and implementation of IIR Filters, 1.5 Yes
L-42 28/03/19 FIR Filters. FFT Algorithms without using 1.5 Yes
L-43 29/03/19 inbuilt functions. 1.5 Yes WT-9
L-44 01/04/19 Tutorial 1.5 Yes
L-45 03/04/19 Implementation of Pole-zero diagram for
1.5 Yes
discrete systems and other relevant topics.
L-46 04/04/19 Multirate signal processing: decimation &
1.5 No To be completed
interpolation.
L-47 05/04/19 Tutorial 1.5 No

Course outcomes:
On successful completion of the course, student will be able to do
Course outcomes Achieved or not

CO 1 Interpret, represent and process discrete/digital signals and systems Yes

CO 2 Thorough understanding of frequency domain analysis of discrete time signals Yes

CO 3 Ability to design and analyze DSP systems like FIR and IIR filters Yes

CO 4 Practical implementation issues such as computational complexity, hardware To be done

resource limitations as well as cost of DSP processors
CO 5 Understand the spectral analysis of signals Yes

Achieving Course Objectives:

1. Understood the mathematical approach to manipulate discrete time signals.
2. Provided the knowledge about the principles behind the discrete Fourier transform (DFT) and its fast computation.
3. Studied the design techniques of FIR and IIR Filters.
4. Studied the different digital structures available to implement the filter design.
5. Implemented signal processing algorithms in Software.

Learning Resources
Textbooks
1. John G. Proakis, DimitrisG.Manolakis, “Digital Signal Processing, Principles, Algorithms, and Applications”, 4th edition, Pearson
Education / PHI, 2007
2. A.V.Oppenheim and R.W. Schaffer,“Discrete Time Signal Processing”, 3rd edition,Pearson Education/PHI,2014.

Reference Books
1. B.P.Lahti, Roger Green, “Essentials of Digital Signal Processing”, Cambridge University Press, 2014.
2. Andreas Antoniou, “Digital Signal Processing”, TATA McGraw Hill, 2006.
3. A.Anand Kumar, “Digital Signal Processing”, 2nd edition, Pearson Education / PHI, 2015

Web Resources
1. Prof. Alan V. Oppenheim, Massachusetts Institute of Technology (MIT), ‘Digital Signal Processing’, URL:
https://ocw.mit.edu/resources/res-6-008-digital-signal-processing-spring-2011/index.htm
2. Prof. S C Dutta Roy, NPTEL-IIT Delhi, ‘Digital Signal Processing’, URL: http://nptel.ac.in/courses/117102060/
 3. Prof. T K Basu, NPTEL-IIT Kharagpur, ‘Digital Signal Processing’, URL: http://nptel.ac.in/courses/108105055/

Name of the Faculty: V. Naresh