UTA EE 3317 Section 001: Linear Systems Fall 2008

Tuesday Thursday 11:00 AM to 12:20 PM GACB103

 

redballt.gif (398 bytes)Instructor:  Kambiz Alavi, PhD, Professor, alavi@uta.edu, 540 Nedderman Hall, 817/272-5633, fax 817/272-2253 

   Office Hours: 1:30 -2:30 PM Tuesday and Thursday

 

redballt.gif (398 bytes)Syll3317_Syllab_Spring_08Sec001.docabus

redballt.gif (398 bytes)GTA

    Name: Xiao Hu

    Office Hours: Wednesday 9:00AM-12:00Noon (IEEE mentoring office)

                         Wednesday 2:00PM-5:00PM      (IEEE mentoring office)

    Email:   Xiao.hu@mavs.uta.edu

 

Text book: Lathi Linear Systems and Signals 2nd Ed. 2005. ISBN978-0-19-515833-5 or 4

Supplementary texts and material

    Student Edition of Matlab, windows version

    HANDOUTS AND LINKS AS ASSIGNED

    CUTHBERT NYACK  Applets and Tutorials:

            Home: http://cnyack.homestead.com/

 

                a.   Control:             http://controlcan.homestead.com/

                 b.  Linear Systems: http://cnyack.homestead.com/files/idxpages.htm

                 c.  Circuits:             http://circuitscan.homestead.com/

                 d.  DSP:                 http://dspcan.homestead.com/

Recommended Textbook as Ref. SIGNALS AND SYSTEMS 4TH ED. ZIEMER ET AL   ISBN 0-13-496456-X

******************************************************************************************* 

Learning Activities:

 

 

       HW 1      Due Thursday. 9/04/08 changed to 09/09/08

       HW1 Hints

       HOMEWORK TEMPLATE  

        Browse through http://cnyack.homestead.com/files/idxpages.htm

            RLC-Circuits, Capacitively coupled circuits. and RLC-Circuits, Inductively coupled circuits.

 

         Review MATLAB

 

HW #2 Due Tuesday 09/09/08

 

HW #3 Due Thursday 09/25/08

Poularakis_Seely1.pdf

SK1_overview1.pdf

SK3_RLC1.pdf

Notes on Linear Systems

 

 

HW #4 Due Thursday 09/25/08

 

HW#5

HW #6  Due Tuesday November 6, 2008  EXTENDED TO 11/11/08

HW#7Due Tuesday November 13, 2008

 

HW #8  Due Friday 11/21/08 5 PM

 

 

http://ocw.mit.edu/NR/rdonlyres/Electrical-Engineering-and-Computer-Science/6-003Fall-2003/9BEA2A94-230F-4F38-ABAE-F552B8E549A9/0/lecture4.pdf

 

EXTRA CREDIT #1

TEAM MATLAB ASSIGNMENT: 2 person team:

Write a script (function m-file if like) to calculate convolution of two arbitrary functions. Features:

1) you type in two analytic function as input and the m-file plots both functions and calculates and plots the convolution
2. The same operations when the tewo functions are given as two lists (arrays).

 

MATLAB Functions, feval, inline functions,

 

HOMEWORK SOLUTIONS

Homework  #1 Solution

Homework  #2 Solution

Homework  #3 Solution

Homework  #4 Solution

Homework  #5 Solution

Homework  #6 Solution

Homework  #7 Solution

 

 

 

EXAM SOLUTIONS

 

EXAM I Spring 07

EXAM I Spring 07 Solution

 

EXAM I Fall 08 Solution

 

 

OLD    FINAL           Sp07Final(rev6').doc

FALL 07 EXAM II    +3317F07EXII(rev7)'.doc

EXAM II Fall 07 Solution

 

 

 

EXAM I TOPICS FOR FALL 08

As discussed in class, the exam will cover material from Ch1 and 2 of your text book plus material presented in class and material in your homework and handout.  Pay attention to material on how to find initial conditions at 0- and how you obtain initial conditions at 0+.  You should be able to find ZIR, impulse response, ZSR.  You need to be able to recall and apply the convolution integral. We spent a lot of time on the 2nd order RLC in class and in homework.  Therefore you should be able to handle related problems including transfer function, ZIR, ZSR, and impulse response.   You should be able to classify and manipulate signals (time shift and scaling, even and odd functions, integrate, integrate by parts, take derivative, find signal energy and power , convolve, etc.)  You should be able to describe and classify systems.  You should also be familiar  with the material based on the MIT web link below, especially pages 19 and 20. 

Topics from Chapter B.  Complex numbers, Partial Fraction Expansion (B.5),

http://ocw.mit.edu/NR/rdonlyres/Electrical-Engineering-and-Computer-Science/6-003Fall-2003/9BEA2A94-230F-4F38-ABAE-F552B8E549A9/0/lecture4.pdf

Also, consult the following website to get more insight in convolution and related topics.

***Page and Applet Index Excellent web page with many insightful applets ***

LAST FALL EXAM I:3317_002F06EXI(rev4).doc

LAST SPRING EXAM I:    EE3317EXAMISp07

 

 

FINAL EXAM TOPICS FROM SPRING 07

As mentioned in class, Final Exam is comprehensive, with emphasis on Laplace Transform, Fourier Transform, Fourier Series, and Convolution.  For Laplace study Secs. 6.1, 6.2, 6.3 and 6.4 up to (but not including)6.4-1. Tables 6.1 and 6.2 will be given.  For FS and FT, See Exam II topics.  Convolution theorem for LTI systems, and correspondence with  with FT and Laplace T should be studied.   The last HW is a good indication of what to expect.  Solution of differential equations with initial conditions (ZIR+ZSR) using Laplace, and connection between h(t) and H(s) is also important.  For LTI systems you should be able to find initial conditions, impulse response h(t), transfer function H(s), to find ZIR + ZSR.  For FT and FE refer to ExamII topics below.

                                                                                                                                                     

ExamII TOPICS For FALL 08  (11/25/08)

 

Laplace Transform

Examples:    4.3, 4.4, 4.5, 4.7, 4.8, 4.9, 4.10, 4.11, 4.12, 4.14, 4.16, 4.18, 4.24, 4.25,

Exercises:    E.4.1, E4.2 E4.4, E4.6, E4.13, E4.14

Sections:    4.1-4.5, 4.6-5, 4.7( not 4.7-1)4.8, 4.9,

Solution of Series RLC circuit with initial conditions and external source using Laplace Transform

 

Fourier Series 

  

Examples:    6.1 through 6.7, 6.9, 6.11,

Exercises:    E.6.1, E6.2, E6.5, E4.6, E4.13, E4.14

Sections:    6.1,6.3, 6.4

 

Websites:     

      Complex Fourier Series of Box Train   same as  ST7.pdf 

    Amplitude, magnitude, and phase stem plots for Fourier series of the following pulse trains:

    Box, Triangle, Trapezoid, "square" sinusoid, "triangular" sinusoid, and impulse train

    Relation between period and stem separation in frequency plots

    Relation between pulse width in time domain and spectral width and height.

    Role of Symmetry

    Solution of Series RLC circuit with initial conditions and external sinusoidal source using Fourier Series

 

 

                                                                                                                                                     

 

Future Reading Assignments and Web Links

        Chapter B,

        http://www.jhu.edu/~signals/lecture1/frames.html

 

***Page and Applet Index Excellent web page with many insightful applets ***

 

Highly recommended: The following note on Dirac delta function http://mathworld.wolfram.com/DeltaFunction.html

 

SK1_overview1.pdf

 

http://cnx.org/content/m10057/latest/

 

Read Chapter 2, All solved example

 

ee3317/Poularakis_Seely1.pdf

1. Complex Fourier Series of Box Train   same as  ST7.pdf

2. ***Page and Applet Index Excellent web page with many insightful applets ***

Examples: Fourier Series Pulse Train, Convolution 1 ,  Convolution 2, Laplace Transform Inverse by Partial Fractions, Laplace Transform 2 CC Poles   Laplace Transform 1 Zero 2 CC Poles  Amplitude Modulation  Fourier Transform, Reconstruction of Rectangular Pulse  2D Fourier Transform, "box" 

3. The Fourier Series & Transform  or Fourier Series &Transform.pdf

Part I Fourier Transforms and Sampling

Linear Systems and Digital Image Processing:

ee5359_bme5300/2005spring/notes.PDF    ee5359_bme5300/2005spring/ziemer.PDF

TEMPORAL FOURIER TRANSFORM: ee5359_bme5300/2005spring/Signals & Systems Med-Img.pdf

2-d Spatial Fourier Transform: ee5359_bme5300/Signal and Image Processing/The niceties of Fourier Transforms.url

http://www.jhu.edu/~signals/      Joy of Convolution  and  Joy of Convolution (Discrete Time)

 

 

 

 

Useful Links

 

Linear Systems

http://www.jhu.edu/~signals/lecture1/frames.html

 

http://www.jhu.edu/~signals/   

 

http://www.google.com/search?hl=en&rls=RNWE,RNWE:2006-10,RNWE:en&sa=X&oi=spell&resnum=0&ct=result&cd=1&q=impulse+response+tutorial&spell=1

 

http://dynsys.uml.edu/tutorials/secondordersystems.htm

http://homepages.inf.ed.ac.uk/rbf/HIPR2/gsmooth.htm

http://homepages.inf.ed.ac.uk/rbf/HIPR2/hipr_top.htm

 

 

 

    MATLAB LINKS AND LECTURE NOTES

    The Source:        Matlab Documentation, The Mathworks

    A List of  Links: http://www.duke.edu/~hpgavin/matlab.html

    Function Tips:    MATLAB Functions, feval, inline functions

    Very Helpful:     http://www.math.ufl.edu/help/matlab-tutorial/

    Explore This:      http://www.math.siu.edu/matlab/tutorials.html

    Check This :          http://www.math.utah.edu/~eyre/computing/matlab-intro/