Diploma Level

Digital Signal Processing

The objective of this course is to introduce the student to the fundamental principles and applications of Digital Signal Processing. This course will cover the basics of discrete-time signals and systems, Transform domain techniques (Fourier Transform and z-transform), sampling, DFT/FFT and diverse applications. The design of Finite Impulse Response filters will be introduced. MATLAB will be utilized to demonstrate and implement different DSP techniques.

Taught by Dr. R. David Koilpillai

Code EE3101

Credits 4 Credits

Type Diploma

Prerequisites

EE2101

Core Competencies

What You'll Learn

View Course Videos

Work with all types of discrete time signals and apply DSP techniques on them
Use time and frequency domain methods to analyze discrete time signals and systems.
Understand the process of sampling and reconstruction.
Design digital filters for different applications.

12-Week Roadmap

Course Structure & Syllabus

For details of standard term assessment timelines and exam structures, visit our Academics page.

Week 1 – 2

Review of Signals and Systems: Discrete time complex exponentials and other basic signals—scaling of the independent axis and differences from its continuous-time counterpart—system properties (linearity, time-invariance, memory, causality, BIBO stability)—LTI systems described by linear constant coefficient difference equations (LCCDE)—impulse response and convolution

Week 3 – 4

Sampling: Impulse train sampling—relationship between impulse trained sampled continuous-time signal spectrum and the DTFT of its discrete-time counterpart—scaling of the frequency axis—relationship between true frequency and digital frequency—reconstruction through sinc interpolation—aliasing—effect of sampling at a discontinuous point—relationship between analog and digital sinc—effects of oversampling—discrete-time processing of continuous-time signals

Week 5 – 6

Discrete-Time Fourier Transform (DTFT): Complex exponentials as eigensignals of LTI systems—DTFT definition—inversion formula—properties—relationship to continuous-time Fourier series (CTFS)

Week 7 – 8

Z-Transform: Generalized complex exponentials as eigensignals of LTI systems—z-transform definition—region of convergence (RoC)—properties of RoC—properties of the z-transform—inverse z-transform methods (partial fraction expansion, power series method, contour integral approach)—pole-zero plots—time-domain responses of simple pole-zero plots—RoC implications of causality and stability

Reading List

Prescribed Books & References

Discrete-Time Signal Processing by Alan V. Oppenheim and Ronald W. Schafer, 3rd edition, 2010, Prentice Hall, Upper Saddle River, NJ.
Digital Signal Processing by Tarun K Rawat, 2nd Edition, 2015, Oxford University Press.
Digital Signal Processing by John G. Proakis and Dimitris K. Manolakis, 4th edition, 2007, Prentice Hall, Upper Saddle River, NJ.
Digital Signal Processing by Sanjit Mitra, 4th edition, 2011, McGraw-Hill, New York, NY.

Faculty & Experts

About the Instructors

Dr. R. David Koilpillai

Professor , Department Of Electrical Engineering , IIT Madras

Faculty Webpage

Dr. R. David Koilpillai received B.Tech degree from IIT Madras and MS and PhD degrees (in Electrical Engineering) from California Institute of Technology, Pasadena, USA.

Prof. David has over three decades of experience in the field of wireless and cellular technologies. In June 2002, Prof. David joined IIT Madras and is currently the Qualcomm Institute Chair Professor in Electrical Engineering. He served as Dean (Planning) during 2011-2017, handling the portfolios of infrastructure, finance, and strategic planning. During the period April 2008–December 2009, he served as the Co-Chair of the IITM special task force for setting up the new IIT at Hyderabad. Dr. David also served as Head, Central Electronics Centre of IITM, during 2001–11. Dr. David’s technical areas of expertise include cellular and broadband wireless systems and DSP techniques for wireless communications. He is the faculty coordinator of the IITMSAT Student Satellite initiative. During January–July 2007, Prof. David was on sabbatical from IITM and served as the Chief Scientist, Centre of Excellence in Wireless Technology (CEWiT), a public-private R&D initiative of the Govt. of India, and was responsible for launching the national project, the Broadband Wireless Consortium of India (BWCI). Prior to joining IITM, Prof. David was at Ericsson USA for twelve years, where he held different technical and managerial positions. In 2000, he became the Director of Ericsson’s Advanced Technologies and Research Department at RTP, North Carolina. At IITM, Prof. David has established an active research and teaching program in Wireless Communications and Digital Signal Processing.

Back to Academics Overview View all Diploma Level courses