NUST School of Electrical Engineering and Computer Science
A center of excellence for quality education and research
Signals and Systems
CSE-310
Spring-2009
Credit Hour: 3+0
Prerequisite: BS240 - Advanced Engineering Mathematics I
Instructor:
Khalida Noori
Office:
Faculty Block Room
Time and Place:
# A 214
Email: khalida.noori@seecs.edu.pk
Tel:
051-9085-2273
Office Hours
Course Objective:
This course would develop a good understanding about Signals and Systems as they occur in various domains. Various Signal
Transformations and associated mathematical representations would be elaborated. It would help develop expertise to model,
analyze and process signals as it occurs in different domains.
Text Book:
1.
Signals And Systems by Alan V. OppenHeim
Reference Books: (Although not limited to but to name a few)
2.
3.
4.
Signals And Systems – Continuous and Discrete by Rodger E. Ziemer, William H. Tranter, D. Ronald Fannin
Signals And Systems – Analysis Using Transform Methods and MATLAB by M.J. Roberts
Digital Signal Processing – A Computer Based Approach Third Edition by Sanjit K. Mitra
Main Topics to be Covered: Few topics, but subject to change, to be covered are the following:
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Signals And Systems – General Overview
Linear Time Invariant Systems
Fourier Series Representation
Fourier Series Transform
Time and Frequency Characteristics
Sampling
Laplace Transform
Z Transform
Linear Feedback Systems
(All highlighted items are core components of course. Others are optional and would be covered based on time availability)
Weightage
Quizzes
One Hour Tests
Assignments
Term paper
Final Test
:
:
:
:
:
10%
30 %
05%
05-10%
45-50%
Grading Policy
Quiz policy
The quizzes will be unannounced and normally last for ten minutes. The question framed is to test the concepts involved in last
lecture. It will be the instructor’s will to choose the number of quizzes for evaluations purposes.
Khalida Noori
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Spring-2008
Conduct of Labs
There are no mandatory labs. Optional matlab exercises are recommended.
Assignments
In order to give practice and comprehensive understanding of subject, home assignments will be given. The students
are advised to do the assignment themselves. Copying of assignment is highly discouraged and taken as cheating case and will be
forwarded for disciplinary action. The questions in assignment are more challenging to give students the confidence and
extensive knowledge about the subject and enable them to prepare for the exams.
Tools / Software requirements
Matlab as a visualization tool to see the practicality of concepts studied during course - Optional
Data Repository
For checking assignment allocation, quiz grades, Award Lists etc, all data would be posted at
http://www.seecs.edu.pk/~khalida.noori
Khalida Noori
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Spring-2008
Digital Logic and Design-Lecture Breakdown
Week
No. of
Lectures
Signals And Systems Course
1
1
1
1
Topic
Signals and Systems
Introduction and Background
Review
Signal classes
1
1
signal transformations
2
1
Exponential and Sinusoidal
Signals
2
1
2
1
3
1
Special Signals and their
representations
CT and DT Systems and their
properties
CT and DT Systems and their
properties
7
3
6
1
LTIs
Introduction
3
1
Convolution SUM
4
1
Convolution Integral
4
4
1
1
Properties of LTI Systems
differential and difference
equations
5
1
differential and difference
equations
5
5
6
6
6
continuous-time (CT) and discretetime (DT) signals; signal energy
and power
time shift, reversal, and scaling;
periodic signals; even and odd
signals
CT and DT Complex Exponential
and Sinusoidal Signals, Periodicity
Properties
unit impulse and unit step signals
Memory, Invertibility
Causality, Stability, Time
Invariance, Linearity
DT and CT representation in terms
of impulses
DT Unit Impulse Response,
Convolution-Sum representation of
LTI Systems
CT Unit Impulse Response,
Convolution-Integral
Representation of LTI Systems
Linear Constant-Coefficient
Differential and Difference
Equations.
Block Diagram Representation of
1st Order Systems
Revision
Revision
OHT1
7
7
1
7
1
Khalida Noori
Content
Fourier Series Representation
Introduction, Background, LTI
System Response
Continuous Time Periodic
Signals
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Fourier Series Representation of
Continuous Time Periodic Signals
Spring-2008
7
8
1
1
Convergence of Fourier Series
Properties of Continuous Time
Fourier Series
8
1
Discrete Time Periodic Signals
8
1
9
1
9
1
9
1
10
1
Properties of Discrete Time
Fourier Series
Fourier Series and LTI Systems
Fourier Series Transform
Continuous Time Fourier
Transform
Continuous Time Fourier
Transform
Properties of CTFT
10
10
11
11
11
1
1
1
1
1
Convolution
Multiplication
Discrete Time Fourier Transform
Discrete Time Fourier Transform
Properties of DTFT
12
12
12
13
13
13
14
1
1
Convolution
Multiplication
Revision
OHT2
1
1
14
1
1
Time and Frequence
Characteristics
Sampling
10
7
14
15
15
15
1
1
1
1
16
16
16
1
1
1
6
17
Khalida Noori
1
Linearity, Time Shifting, Time
Reversal, Time Scaling,
Multiplication, Conjugation and
Conjugate Symmetry, Parseval's
Relation
Fourier Series Representation of
Discrete Time Periodic Signals,
Convergence
Multiplication, First Difference,
Parseval's Relation
FT of Aperiodic Signal,
Convergence, Examples
FT of Aperiodic Signal,
Convergence, Examples
Linearity, Time Shifting,
Conjugation, Differentialtion and
Integration, Time and Frequencey
Scaling, Duality, Parseval's
Relation
DTFT, Convergence, Examples
DTFT, Convergence, Examples
Linearity, Time and Frequency
Shifting, Conjugation, Differencing
and Accumulation, Time Reversal,
Time Expansion, Differentiation,
Parseval's Relation
Time allocated may change
depending on the available time
Time allocated may change
depending on the available time
The Laplace Transform
Laplace Transform
Region of Convergence
Inverse Laplace Transform
Geometric Evaluation of FT from
Pole-Zero Plot
Properties of Laplace Transform
Analysis of LTIs
Analysis of LTIs
Z Transform
Ztransform
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Spring-2008
17
17
18
1
1
1
18
18
19
19
19
20
1
1
Khalida Noori
Region Of Convergence
Inverse Ztransform
Geometric Evaluation of FT from
Pole-Zero Plot
Properties of ZT
Analysis of LTIs
Revision
Final
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Spring-2008