# SIGNALS AND SYSTEMS(15EE54) CBCS SCHEME AND SYLLABUS,NOTES

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SIGNALS AND SYSTEMS(Core Course)

AS PER CHOICE BASED CREDIT SYSTEM (CBCS)
SEMESTER–V

Subject Code - 15EE54
IAMarks - 20
Number of Lecture Hours/Week - 04
Exam Hours - 03
Total Number of Lecture Hours - 50
Exam Marks - 80
Credits – 04

Course 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 andthe 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. 10 HOURS
Revised Bloom’s Taxonomy Level
L1 – Remembering,L2 – Understanding,L3 – Applying, L – 4 Analysing, L5 – Evaluating.

Module-2
Time – Domain Representations For LTI Systems: Convolution, impulse response, properties, solution of differential and difference equations, block diagram representation.10  HOURS
Revised Bloom’s Taxonomy Level
L1 – Remembering,L2 – Understanding,L3 – Applying,L4 – Analysing, L5 – Evaluating.

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 equations10 HOURS
Revised Bloom’s Taxonomy Level
L1 – Remembering, L2 – Understanding, L3 – Applying, L4 – Analysing, L5 – Evaluating.

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 differential equations.10 HOURS
Revised Bloom’s Taxonomy Level
L1 – Remembering, L2 – Understanding, L3 – Applying, L4 – Analysing, L5 – Evaluating..

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. 10 HOURS
Revised Bloom’s Taxonomy Level
L1 – Remembering, L2 – Understanding, L3 – Applying, L4 – Analysing, L5 – Evaluating.  V EEE (2015-16) - 13

Course outcomes:
At the end of the course the student will be able to:
Classify the signals and systems.
Explain basic operations on signals and properties of systems.
Use convolution in both continuous and discrete domain for the analysis of systems given the impulse response of a system.
Evaluate response of a given linear time invariant system.
Provide block diagram representation of a linear time invariant system.
Apply continuous time Fourier transformrepresentation to study signals and linear time invariant systems.
Apply discrete time Fourier transform representation to study signals and linear time invariant systems. Use Z-transform and properties of Z transform for the analysis of discrete time systems.

Engineering Knowledge, Problem Analysis, Modern tool usage,Ethics.

Question paper pattern:
The question paper will have ten questions.
Each full question is for 16 marks.
There will be 2full questions (with a maximum of four 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.

Textbook
1  Signals and Systems Simon Haykin, Berry Van Veen Wiley 2nd Edition,2002
Reference Books
2  Fundamentals of Signals and Systems Michael J. Roberts, Govind K Sharma McGraw Hill 2nd Edition

2010 3 Signals and Systems NagoorKani McGraw Hill 1st Edition 2010 4 Signals and Systems A Primer with MATLAB Matthew N.O.Sadiku Warsame H.Ali CRC Press 1st Edition, 2016 5 Signals and Systems Anand Kumar PHI 3rd Edition, 2015
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