Applications Open now for May 2025 Batch | Applications Close: May 20, 2025 | Exam: July 13, 2025

Applications Open now for May 2025 Batch | Applications Close: May 20, 2025 | Exam: July 13, 2025

Diploma Level

Signals and Systems

by Prof. Lakshmi Narasimhan Theagarajan

Course ID: EE2101

Course Credits: 4+1

Course Type: Diploma

Pre-requisites: EE1103 -  Electrical and Electronic Circuits

What you’ll learn

At the end of this course, the student should be able to: 1. Understand and apply the concepts about linear time-invariant (LTI) systems
understand and apply Fourier Series representation of periodic continuous-time signals
understand and apply Fourier Transform representation of periodic and aperiodic continuous-time signals4. Apply Laplace transforms to analyze LTI Systems

Course structure & Assessments

5 credit course, weekly online assignments, 2 in-person invigilated quizzes, 1 in-person invigilated end term exam. For details of standard course structure and assessments, visit Academics page.

WEEK 1 Introduction to signals --- continuous-time, discrete-time, Analog, Digital, Signal representation and analysis, Manipulation of signals (Time shifting and scaling)
WEEK 2 Adding and subtracting signals, complex-valued signals, phasors
WEEK 3 Even and Odd symmetry, Orthogonal signals, even-odd signals, conjugate symmetry, periodicity, manipulation of periodic signals, Energy and Power of signals
WEEK 4 Dirac delta signal, energy signal, power signal, time scaling of energy and power signals
WEEK 5 Introduction to systems and their properties --- causal, memory, Invertibility, stability, Time invariance, Linear, LTI systems, Convolution
WEEK 6 Properties of convolution, convolution with Dirac Delta, LTI system properties, Unit step response of LTI systems
WEEK 7 Fourier Analysis, Fourier series and properties
WEEK 8 Parseval's theorem for Fourier series, Dirchilet's conditions for Fourier series
WEEK 9 Fourier Transform, The Uncertainty principle, properties of Fourier Transform, Symmetry in Fourier Transform, Duality of Fourier Transform
WEEK 10 Fourier transform in LTI systems, Idea Low pass filter, Fourier transform of step signal and periodic signals, Fourier Transform for circuit analysis
WEEK 11 Laplace Transform, Region of Convergence, Pole-Zero plots, Bode Plot
WEEK 12 Properties of Laplace Transform, Initial and Final Value Theorem, Laplace Transform in Circuit Analysis
+ Show all weeks

Prescribed Books

The following are the suggested books for the course:

Signals and Systems: Oppenheim, Willsky and Nawab (2nd Edn).

Principles of Linear Systems and Signals: B.P. Lathi (2nd Edn)

About the Instructors

Prof. Lakshmi Narasimhan Theagarajan
Professor, Department Of Electrical Engineering, IIT Madras

Lakshmi Narasimhan is an Assistant Professor at the Department of Electrical Engineering, IIT Madras. He obtained his PhD from the Indian Institute of Science, Bangalore in 2016. He was a postdoctoral fellow at Syracuse University, New York, and a Fulbright research scholar at MIT, Boston. He has also worked in Cisco Systems R&D and National Instruments R&D. His research areas include statistical learning, inference, and physical layer design for high-dimensional wireless communications.

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