Course Title and Code

Signals and Systems (EE2050A)

Programme

UG

Course Credit

3-0-0-3 (Lecture-Tutorial-Practical-Total Credits)

Course Category

Core

Prerequisite

Nil

Course Content

Topics Lecture (hours)
Signals and Systems (continuous-time): Signal classification, standard signals, transformations of the independent variable, System classification, Impulse response of an LTI system, convolution integral and graphical, system properties from impulse response, complex exponential as eigenfunction of LTI systems, interconnection of LTI systems 9
Discrete-time signals and systems: Emphasize similarities and differences with continuous-time counterpart 6
Continuous-time Fourier series: Periodic signals and their properties, exponential and trigonometric FS representation of periodic signals, convergence, FS of standard periodic signals, salient properties of Fourier series, FS and LTI systems, some applications of FS 7
Continuous-time Fourier transform: Development of Fourier representation of aperiodic signals, convergence, FT of standard signals, FT of periodic signals, properties of FT, some applications of FT (eg. modulation) 7
Laplace Transform: Bilateral Laplace transform, region of convergence, Unilateral Laplace transform, properties of Laplace transform, standard Laplace transform pairs, transfer function of LTI system, characterizing LTI system properties from transfer function, brief introduction and application to simple initial value problems 7
Sampling (Bridge continuous and discrete): Sampling theorem and signal reconstruction, notion of aliasing with examples, Sampling in frequency domain 6

Learning Outcomes

Students will be able to work with various types of signals and systems both in the continuous and discrete-time form. Analyze the spectral characteristics of continuous-time periodic and non-periodic signals using Fourier series and transform, respectively. Classify systems based on their properties and determine the response. Understand the process of sampling and the effects of sampling on the signals.

Text/Reference Books

  • Principles of Linear Systems and Signals by B.P. Lathi, International Edition 2009, Oxford University Press. ISBN-13: 978-0190200176
  • Signals and Systems by A.V. Oppenheim and A.S. Willsky, Second Edition, 1998, Prentice-Hall. ASIN: 9332550239
  • Signals and Systems by S. Haykin and B. D. Van Veen, 2002, Wiley. ISBN: 9788126512652

Reviewer

V. Chandrasekar, University Distinguished Professor, Colorado State University