Linear Systems and Signals
EE 313, Unique 16050, Spring 2010
Professor Ted Rappaport
TTH 2:00 – 3:30 PM
ENS 127
Final Exam: Saturday, May 15, 9:00 AM – 12:00 PM in ETC 2.136
MATLAB and LabVIEW Information — Getting Started
Remote Access to MATLAB — Instructions
Homework Assignments
 Assignment 1: Assigned 1/19; Due 1/26: Problems B2, B3, B7, B14, B26 (use cumulative sum and factorial (gamma) functions in MATLAB), 1.13, 1.15, 1.18, 1.22, 1.23, 1.31, 1.32
SOLUTIONS  Assignment 2: Assigned 1/26; Due 2/2: Problems 1.35, 1.41, 1.43, 1.44, 1.45, 1.48 (use usubstitution), 1.410, 1.51, 1.57, 1.71, 1.72, 1.77
SOLUTIONS  Assignment 3: Assigned 2/2; Due 2/9: Problems 2.21, 2.22, 2.26, 2.31, 2.32, 2.41, 2.44, 2.45, 2.47, 2.411 (a, c, d), 2.418 (a, b, d, f, h)
SOLUTIONS  Assignment 4: Assigned 2/16; Due 2/25: Problems 2.71, 2.72, 4.11 (a, c, b, d, e, h), 4.12 (a), 4.13 (a, b, c, d, e, f, h, i), 4.21 (a, b, c, d, e, f, g, h), 4.23, 4.25, 4.35, 4.36
SOLUTIONS  Assignment 5: Assigned 2/25; Due 3/9: Problems 4.42, 4.44, 4.52, 4.61, 6.11 (a, b, c, d), 6.12, 6.13, 6.15, 6.16, 6.17, 6.34, 6.39, 6.42
SOLUTIONS  Assignment 6: Assigned 3/9; Due 3/25: Problems 6.53, 6.54, 6.56, 6.59, 7.11, 7.13, 7.15 (b), 7.17 (b), 7.21, 7.22, 7.23, 7.24
SOLUTIONS  Assignment 7: Assigned 4/1; Due 4/8: Problems 7.31, 7.34, 7.36, 7.37, 7.41, 7.43, 7.53, 7.61, 7.74
SOLUTIONS  Assignment 8: Assigned 4/8; Due 4/15: Problems 8.11, 8.12, 8.16, 8.17, 8.21, 8.22, 8.31, 8.32
SOLUTIONS  Assignment 8: Assigned 4/22; Due 5/6: Problems 3.11, 3.12, 3.22, 3.32, 3.34, 3.42, 3.71, 5.11, 5.12 (b, f), 5.14 (a, b), 5.15, 5.23 (a), 5.29 (a, c, d)
SOLUTIONS
Lecture Notes
 January 19
 January 21
 January 26
 January 28
 February 2
 February 4
 February 9 – Exam 1 Review
 February 16
 February 18
 February 23
 February 25
 March 2
 March 4
 March 9
 March 11
 March 23
 March 25
 April 1
 April 6
 April 8
 April 13
 April 15
 April 22
 April 27
 April 29
 May 4
 May 6
 May 12 – Review Session
Exam Solutions
Class Information
EE 313 builds a mathematical foundation for analyzing linear signal processing, communication, and control systems. Topics include representation of signals and systems; system properties; sampling; Laplace and ztransforms; transfer functions and frequency response; convolution; stability; Fourier series; Fourier transform; AM/FM modulation; and applications.
EE 313 feeds into several ECE technical areas, including Signal/Image Processing, Communications/Networking, and Robotics/Controls.
Prerequisites
Electrical Engineering 411, 331, or Biomedical Engineering 311 with a grade of at least C; and Mathematics 427K with a grade of at least C.
Instructor Information
Instructor: Dr. Ted S. Rappaport
Office Location: ENS 433A
Office Hours: Tue. 3:30 – 5:00 PM; Wed. 12:00 – 12:30 PM and 3:30 – 4:30 PM
Help Session: Wed. 4:30 – 6:00 PM in ENS 637
Graduate Teaching Assistant and Grader
Eshar BenDor
esharbd@gmail.com
Office Hours: Mon. and Wed. 11:00AM – 12:30PM; Fri. 3:30 – 5:00 PM in ENS 138
Required Text
B.P. Lathi, Linear Systems and Signals, Oxford, 2002.
Grading
Homework will be due at the beginning of class – no exceptions. Late homework will not be accepted. For maximum retention of material and best class performance, read the appropriate portions of text prior to lecture. You are on your honor.
 Homework …………………… 15%
 Exams (3, each at 20%) ….. 60%
 Final Exam …………………… 25%
Although plus/minus grades will typically not be assigned for the final grade in this course, in some instances, plus/minus grades may be issued.
Students with disabilities may request appropriate academic accommodations from the Division of Diversity and Community Engagement, Services for Students with Disabilities, 4716259.
Honor Policy
Faculty in the ECE Department are committed to detecting and responding to all instances of scholastic dishonesty and will pursue cases of scholastic dishonesty in accordance with university policy. Scholastic dishonesty, in all its forms, is a blight on our entire academic community. All parties in our community — faculty, staff, and students — are responsible for creating an environment that educates outstanding engineers, and this goal entails excellence in technical skills, selfgiving citizenry, and ethical integrity. Industry wants engineers who are competent and fully trustworthy, and both qualities must be developed day by day throughout an entire lifetime. Scholastic dishonesty includes, but is not limited to, cheating, plagiarism, collusion, falsifying academic records, or any act designed to give an unfair academic advantage to the student. Penalties for scholastic dishonesty are severe and can include, but are not limited to, a written reprimand, a zero on the assignment/exam, retaking the exam in question, an F in the course, or expulsion from the University. Please do not jeopardize your career by an act of scholastic dishonesty. Details about academic integrity and what constitutes scholastic dishonesty can be found at the website for the UT Dean of Students Office and the General Information Catalog, Section 11802.
Tutoring Resources
There are a number of free tutoring resources catering to several undergraduate classes, including EE313.
ECE Tutoring – www.ece.utexas.edu/undergraduate/tutoring.cfm
HKN Tutoring – hkn.ece.utexas.edu/services.php
Lecture Schedule
Date  Topic  Reading Assignments  Important Class Events 

1/19  Introduction, How to Succeed in 313, MATLAB 
pp. 152 pp. 5364 

1/21  Chapter 1: Complex Numbers, Signals, Operations 
pp. 124, pp. 6886 

1/26  Impulse response, exponents, linearity, summary  pp. 86131  HW 1 Due Beginning of Class 
1/28  Chapter 2: System response, Impulse response 
pp. 151171  
2/2  Convolution  pp. 171192  HW 2 Due Beginning of Class 
2/4  Interconnected Systems, Zero state response  pp. 192226  
2/9  Review for Exam 1 with GTA  All Material to Date  HW 3 Due Beginning of Class 
2/11  Exam 1 in class, closed book, one doublesided crib sheet allowed 
All Material to Date 

2/16  Chapter 4: Laplace Transforms 
pp. 340359  
2/18  Laplace Transform Properties  pp. 360371  
2/23  Laplace Transforms in System Analysis  pp. 371384  
2/25  Laplace in Electrical Circuits, Feedback, opamps  pp. 384423, pp. 467468  HW 4 Due Beginning of Class 
3/2  Chapter 6: Fourier Series (FS) 
pp. 594614  
3/4  Exponential form of Fourier Series  pp. 614633  
3/9  Parsevals Theorem, System Analysis with FS 
pp. 633640  HW 5 Due Beginning of Class 
3/11  Signals as Vectors  pp. 641661  
3/16  No Class – Spring Break  
3/18  No Class – Spring Break  
3/23  Chapter 7: Fourier Transform (FT) 
pp. 678698  
3/25  Review for Exam 2 Laplace Transform, Fourier Series, Fourier Transform 
pp. 698719  HW 6 Due Beginning of Class 
3/30  Exam 2 in class, closed book, two doublesided crib sheets allowed 
All Material since Exam 1  
4/1  Fourier Transform Properties, FT to analyze Systems and Filters  pp. 699729  
4/6  Energy, Modulation, Comm. Systems  pp. 728746  
4/8  Chapter 8: Sampling Theorem – discrete samples 
pp. 770798  HW 7 Due Beginning of Class 
4/13  Reconstructing sampled signals, Spectrum sampling, A/D and D/A  pp. 778798  
4/15  The DFT zero padding, aliasing, FFT  pp. 798817  HW 8 Due Beginning of Class 
4/20  Exam 3 in class, closed book, three doublesided crib sheets allowed 
All Material since Exam 2  
4/22  Discrete Fourier Transform (DFT); Chapter 3: Discrete Time Systems 
pp. 245259  
4/27  Discrete Time System examples  pp. 259276  
4/29  Discrete impulse response, convolution  pp. 276299  
5/4  Chapter 5: ZTransform for discrete signals, properties 
pp. 494514  
5/6  ZTransform operations, difference equations, zerostate response  pp. 515524  HW 9 Due Beginning of Class 
Saturday 5/15 9am12noon 
Final Exam, closed book, four doublesided crib sheets allowed 
All Material to Date 
INSTRUCTOR INFORMATION
Professor Ted Rappaport
TTH 2:00 – 3:30 PM
ENS 127
Final Exam: Saturday, May 15, 9:00 AM – 12:00 PM in ETC 2.136
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