Instructor Dr Ghazi Al Sukkar Dept of Electrical Engineering The University of Jordan Email ghazialsukkarjuedujo 1 Fall 2014 2 Course Details Objective Establish a background in Signal and System Analysis ID: 722820
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EE 221Signals Analysis and Systems
Instructor: Dr. Ghazi Al SukkarDept. of Electrical EngineeringThe University of JordanEmail: ghazi.alsukkar@ju.edu.jo
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Fall 2014Slide2
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Course DetailsObjectiveEstablish a background in Signal and System Analysis
Get familiar with signals and systems applicationsGrading First Exam 20% Second Exam
30%
Final Exam
50%
Text Book
Signals, Systems and Transforms
,
Prentice Hall,
4
th
Edition
Charles L. Philips et.alSlide3
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Useful ReferencesSignals and Systems Analysis, second edition, By: Samir Soliman, et. al Introduction to Comm. Systems, third edition, By: Ferril
StremlerLinear Systems and Signals, B.P second edition, By: LathiSlide4
Course Websitehttp://academic.ju.edu.jo/ghazi.alsukkar/default.aspx
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OutlineIntroductionSignals, Systems and Transforms:Signal Definition
System definitionContinuous-time vs. Discrete-timeAnalog vs. DigitalAnalysis vs. SynthesisFall 20145Slide6
Signal definitionA function of one or more independent variables which conveys information on the nature of a physical phenomenon.Examples:Temperature vs. time
Closing value of a stock market vs. dayFall 20146
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Cont..
: signal of one independent variable (e.g. time), is called dependent variable.A common convention is to refer to the independent variable as time, although may in fact not. is a signal of four independent variables.
Fall 20147Slide8
ModelingPhysical signal
Mathematical functionExamples:Temperature of the room Stock Market Potentila difference between two points. Fall 20148Slide9
System definitionAn entity that manipulates one ore more signals to accomplish a function (job), thereby yielding new signals.Any
process or interaction of operations that transforms an input signal into an output signal with properties different from those of the input.Examples:- Aircraft - Transmitter- Pen - Break system- Educational system - CarFall 2014
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System representationFall 2014
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System
Excitation signal Input: I
Response signal Output: O
SISO: Single-Input Single-OutputSlide11
Types of SystemsSystems are classified according to the number of inputs and outputs to:Fall 201411
I1System
O1MIMO: Multi-Input Multi-Output
O2
I2
I3
I1
System
O
MISO: Multi-Input
Single-Output
I2
I3
I
System
SIMO:
Single-Input
Multi-Output
O1
O2
O3Slide12
Systems Modeling Physical system
Mathematical Equations Example:
Integro
-differential Equation
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Continuous-time vs. Discrete-timeThe independent variable may be either continuous or discrete.Continuous-time signals:
defined at every instant of time over some time interval.- where can take any real value.- may be 0 for a given range of values of .
Values for may be real or complex Fall 201413
Slide14
Cont..
t1, t2, and t3 are points of discontinuity. CT is defined at a continuum points in time
A CT signal is not necessarily to be continuous at every point in time. Fall 2014
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CT
t
1
t
2
t
3
tSlide15
Cont..Discrete-time signals:defined at discrete points in time and not between them.
The independent variable takes only a discrete set of values. where
Values for
may be real or complex
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Analog vs. DigitalThe signal amplitude may be either continuous or discreteAt each time value, analog signal amplitude takes real or complex value (a.k.a. continuous-valued)
Digital signal amplitude takes values from a discrete set “finite number of values” (a.k.a. discrete-valued)Fall 201416Analog continuous-time signal
Digital continuous-time signal
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Reminder:Finite set: has a beginning and an end and the number of elements is countable.Every finite set is countablee.g., {-1,0,1,2},
Infinite set: does not has start or end or has both start and end but is uncountable.e.g., infinite and countable: {…,2,4,6,8},{-1,1,3,5,7,…},{…,2,5,8,11,14,…}.e.g., infinite and uncountable:
If the signal’s amplitude (A) is a finite set the signal is Digital, otherwise it is Analog.
Fall 2014
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Cont..Example:
CT & DT: qualify the nature of the signal along the time (horizontal) axis.Analog & Digital: qualify the nature of the signal along the amplitude (vertical) axis. Fall 201418
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DT & Digital
Amplitude
DT & Analog
Amplitude
or Amplitude
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Continuous-time vs. Discrete-time systemSystems are classified according to the type of input signals and output signals.Continuous-time system: all the signals are CT signals.
Discrete-time system: all the signals are DT signals.Fall 201419
System
System
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Analysis vs. SynthesisAnalysis: study the characteristics of a system to understand how it will response to various input signals.Synthesis: design a system to achieve a desired outputs.
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TransformationTime domain vs. Frequency domainWhy Transformation?Real life examples:Fall 2014
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