ECEN3714 Network AnalysisLecture #1 12 January 2015Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
ECEN3714 Network AnalysisLecture #1 12 January 2015Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
Goal of this class:Goal of this class:
Builds on Material from ECEN2613 Add to your Circuit Design &
Analysis Tool Set Examine Transform Theory
Laplace Transforms Fourier Series (subset of Fourier Transforms)
Provide a hands-on experience with experiments related to the lectures.
Why bother learning mathfunctions when machines can
do it?
Why bother learning mathfunctions when machines can
do it?
Because you can't always trust those fancy machines.
Because you can't always trust those fancy machines.
Class Home Page
www.okstate.edu/elec-engr/scheets/ecen3714/
Class Home Page
www.okstate.edu/elec-engr/scheets/ecen3714/ECEN Home Page
PeopleScheets
Personal Home Page
Contact InformationContact Information EMail: [email protected] Phone (405)744-6553 Tentative Office Hours
Monday & Wednesday: 1:00 – 2:00 pm Tuesday & Thursday: 1:00 – 2:30 pm
Lab Teaching Assistant Tristan Underwood [email protected]
GradingGrading Class Work
10 x 10 point Quizzes 2 x 100 point Exams 1 x 150 point Comprehensive Final 450 points Total
Lab Work 10 x 10 point Lab Experiments 1 x 30 point Practical 1 x 30 point Design Project 160 points Total
Overall Class work weighted 1.0, Lab work weighted 1.375 670 points total; 450 + 160*1.375 = 450 + 220
90%, 80%, 70% etc. A/B/C break points will be curved... unless you miss any lab work, then no curve.
Extra CreditExtra Credit
Errors in text, HW solutions, instructor notes, test or quiz solutions, lab manual(20 points max)
Attend IEEE functions (15 points) 3 presentations (3 points apiece + dinner) ECE spring banquet (6 points)
LecturesLectures Quiz or Exam Every Friday
Except: 16 January, 13 March, & 1 May Quizzes
Open book, notes, instructor Tests
Open book & notes Monday & Wednesday
Lectures Feel free to interrupt with pertinent questions or
comment at any time
GradingGrading In Class: Quizzes, Tests, Final Exam
Open Book & Open NotesWARNING! Study for them like they’re closed book!
Ungraded Homework: Assigned most every classNot collectedSolutions ProvidedPayoff: Tests & Quizzes
ECEN3714 Network AnalysisLecture #1 12 January 2014Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
ECEN3714 Network AnalysisLecture #1 12 January 2014Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
Review Appendix (Complex Numbers)& Chapter 12.1
Ungraded Homework Problems: None
Why work the ungraded Homework problems?Why work the ungraded Homework problems?
An Analogy: Linear Systems vs. Soccer Reading text = Reading a book about Soccer Looking at the problem solutions =
watching a scrimmage Working the problems =
practicing or playing in a scrimmage Quiz = Exhibition Game or Scrimmage Test = Big Game
To succeed in this class...To succeed in this class...
Show some self-discipline!! Important!!For every hour of class...
... put in 1-2 hours of your own effort.
PROFESSOR'S LAMENTIf you put in the timeYou should do fine.If you don't,You likely won't.
CheatingCheating Don’t do it!
If caught, expect to get an ‘F’ for the course.
My idol:Judge Isaac ParkerU.S. Court: Western District of Arkansas1875-1896
a.k.a. “Hanging Judge Parker”
LabsLabs
Start at Scheduled Time on Week #2 But NOT in scheduled place First 2 Wednesday Labs in EN 510 First 2 Friday Labs in EN 019
5 Hertz Square Wave...5 Hertz Square Wave...
1 volt peak, 2 volts peak-to-peak, 0 mean
0
1.5
-1.50 1.0
Generating a Square Wave...Generating a Square Wave...
0
1.5
-1.50 1.0
0
1.5
-1.50 1.0
1 vp5 Hz
1/3 vp15 Hz
Generating a Square Wave...Generating a Square Wave...
0
1.5
-1.50 1.0
1/5 vp25 Hz
0
1.5
-1.50 1.0
5 Hz+
15 Hz
Generating a Square Wave...Generating a Square Wave...
0
1.5
-1.50 1.0
1/7 vp35 Hz
0
1.5
-1.50 1.0
5 Hz+
15 Hz+
25 Hz
Generating a Square Wave...Generating a Square Wave...
0
1.5
-1.50 1.0
5 Hz+
15 Hz+
25 Hz+
35 Hz
cos2*pi*5t - (1/3)cos2*pi*15t + (1/5)cos2*pi*25t - (1/7)cos2*pi*35t)
Generating a Square Wave...Generating a Square Wave...
5 cycle per second square wave generated using first 50 cosines, Absolute Bandwidth = 495 Hertz.
0
1.5
-1.50 1.0
Generating a Square Wave...Generating a Square Wave...
5 cycle per second square wave generated using first 100 cosines, Absolute Bandwidth = 995 Hertz.
0
1.5
-1.50 1.0
Sines & CosinesSines & Cosines Can be used to construct any time domain
waveform x(t) = ∑ [ aicos(2πfit) + bisin(2πfit) ] cosines & sines are 90 degrees apart
cos(2πft) + j sin(2πft) Phasor
ejπft = cos(2πft) + j sin(2πft) cos(2πft) = Real {ejπft } sin(2πft) = Imaginary {ejπft } Wikipedia Example
Phasor ProjectionPhasor Projection
Projection on Real Axis = Cosine
Projection on Imaginary Axis = Sine
Snapshot after 1 phasor revolution
ECEN3714 Network AnalysisLecture #2 14 January 2015Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
ECEN3714 Network AnalysisLecture #2 14 January 2015Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
Read 13.1 – 13.4 Ungraded Homework Problems
12.1, 2, & 3
OSI IEEEOSI IEEE
January General Meeting 5:50-6:30 pm, Wednesday, 21 January ES201b
Reps from Grand River Dam will present Operate 3 dams, 2 lakes, Salina Pump Storage
Dinner will be served All are invited
Complex NumbersRectangular & Polar Coordinates
Complex NumbersRectangular & Polar Coordinates
Easiest to use...
Addition (x+y) Rectangular
Subtraction (x-y) Rectangular
Multiplication (x*y) Rectangular or Polar
Division (x/y) Polar
3 ways to represent a complex number
Ex) 9 + j9 = 81 / 45o = 81ejπ/4
Last Time…Last Time…
Two complex numbers
x = 7 + j4 = 8.062 / 29.74o = 8.062ej0.1652π
y = 2 – j4 = 4.472/ - 63.43o = 4.472e-j0.3524π
Pierre-SimonMarquis de LaplacePierre-SimonMarquis de Laplace Born 1749 Died 1827 French Mathematician
& Astronomer Previously, you've had y(t) = function{ x(t) }
Solved in time domain (derivatives?, integrals?) In 1785, Laplace noticed it's frequently easier
to solve these via x(t) → X(s) →Y(s) → y(t) transform massage transform
ECEN3714 Network AnalysisLecture #3 16 January 2015Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
ECEN3714 Network AnalysisLecture #3 16 January 2015Dr. George Scheetswww.okstate.edu/elec-eng/scheets/ecen3714
Problems: 13.2, 4, & 6
OSI IEEEOSI IEEE
January General Meeting 5:50-6:30 pm, Wednesday, 21 January ES201b
Reps from Grand River Dam will present Operate 3 dams, 2 lakes, Salina Pump Storage
Dinner will be served + 3 pts extra credit All are invited
Time BoundsTime Bounds
None Specified?Assume 0- < t < ∞ = 0 < t < ∞ (Default bounds for this class)
Assume time function = 0 where not specified
Example: x(t) = 7t; t > 3Assume x(t) = 0 when t < 3
Laplace TransformLaplace Transform
F(s) = f(t) e-st dt
0-
∞
"s" is a complex number = σ + jω
Fourier Transform is similar σ = 0 Lower Bound = -∞
CorrelationCorrelation
Provides a measure of how "alike" x(t) and y(t) are
If integral evaluates positive x(t1) and y(t1) tend to be doing same thing
t1 an arbitrary time if x(t1) is positive, y(t1) tends to be positive if x(t1) is negative, y(t1) tends to be negative
x(t) y(t) dt
CorrelationCorrelation
If integral evaluates negative x(t1) and y(t1) tend to be doing the opposite
If evaluates = 0 x(t) & y(t) are not related (uncorrelated)
no predictability
x(t) y(t) dt
Laplace Transform of e-2tLaplace Transform of e-2t
t
e-0t = u(t)
t
e-2t
This evaluates to F(0) = 1/2
Laplace Transform of e-2tLaplace Transform of e-2t
F(2) = e-2t e-2t dt
0-
∞
F(s) = e-2t e-2t dt
0-
∞
Laplace Transform of e-2tLaplace Transform of e-2t
t
e-2t
Product is e-4t, which has area F(2) = 1/4.
t
e-st evaluated at s = 2Ideally, these twowaveforms would have the highest + correlation.
Laplace Transformis an imperfectcorrelator.