SIGNALS AND SYSTEMS (18EE54)

SIGNALS AND SYSTEMS

Course Code 18EE54 CIE Marks 40
Number of Lecture Hours/Week (L:T:P) 3:0:0 SEE Marks 60
Credits 03 Exam Hours 03

Course Learning Objectives:

· To discuss arising of signals in different systems.
· To classify the signals and define certain elementary signals.
· To explain basic operations on signals and properties of systems.
· To explain the use of convolution integral and convolution summation in analyzing the response
of linear time invariant systems in continuous and discrete time domains.
· To explain the properties of linear time invariant systems in terms of impulse response description.
· To explain determination of response of a given linear time invariant system and to provide a
block diagram representation to it.
· To explain Fourier transform representation of continuous time and discrete time non –periodic
signals and the properties of Fourier Transforms.
· To explain the applications of Fourier transform representation to study signals and linear time
invariant systems. To explain the use of Z-transform in the complex exponential representation of
discrete time signals and the analysis of systems.

Module-1

Introduction: Definitions of signals and a system, classification of signals, basic operations on signals.
Elementary signals viewed as interconnections of operations, properties of systems.

Module-2

Time – Domain Representations for LTI Systems: Convolution, impulse response, properties, solution of differential and difference equations, block diagram representation.

 

Module-3

The Continuous-Time Fourier Transform: Representation of a non -periodic signals: continuous-time
Fourier transform (FT), Properties of continuous-time Fourier transform, Applications. Frequency
response of LTI systems, Solutions of differential equations.

 

Module-4

The Discrete-Time Fourier Transform: Representations of non-periodic signals: The discrete-time
Fourier transform (DTFT), Properties of DTFT and applications. Frequency response of LTI system,
Solutions of difference equations.

 

Module-5

Z- Transforms: Introduction, Z-transform, properties of ROC, properties of Z-transforms, inversion of
Z-transform methods - power series and partial expansion, Transforms analysis of LTI systems, transfer
function, stability and causality, unilateral Z-transform and its application to solve difference equations.

 

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

· Explain the generation of signals, behavior of system and the basic operations that can be performed
on signals and properties of systems.
· Apply convolution in both continuous and discrete domain for the analysis of systems given impulse
response of a system.
· Solve the continuous time and discrete time systems by various methods and their representation by block diagram.
· Perform Fourier analysis for continuous and discrete time, linear time invariant systems.
· Apply Z-transform and properties of Z transform for the analysis of discrete time systems.

Question paper pattern:

· The question paper will have ten questions.
· 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 module.
· Each full question with sub questions will cover the contents under a module.
Students will have to answer 5 full questions, selecting one full question from each module.

Text Book

1 Signals and Systems Simon Haykin,
Berry Van Veen
Wiley 2nd Edition,2002

Reference Books

1 Fundamentals of Signals and
Systems
Michael J.
Roberts, Govind
K Sharma
McGraw Hill 2nd Edition 2010

2 Signals and Systems NagoorKani McGraw Hill 1st Edition 2010

3 Signals and Systems
A Primer with MATLAB
Matthew N.O. Sadiku
Warsame H. Ali
CRC Press 1st Edition, 2016

4 Signals and Systems Anand Kumar PHI 3rd Edition, 2015