**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.

**Graduate Attributes (As per NBA)**

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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