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), 1.1-3, 1.1-5, 1.1-8, 1.2-2, 1.2-3, 1.3-1, 1.3-2
SOLUTIONS - Assignment 2: Assigned 1/26; Due 2/2: Problems 1.3-5, 1.4-1, 1.4-3, 1.4-4, 1.4-5, 1.4-8 (use u-substitution), 1.4-10, 1.5-1, 1.5-7, 1.7-1, 1.7-2, 1.7-7
SOLUTIONS - Assignment 3: Assigned 2/2; Due 2/9: Problems 2.2-1, 2.2-2, 2.2-6, 2.3-1, 2.3-2, 2.4-1, 2.4-4, 2.4-5, 2.4-7, 2.4-11 (a, c, d), 2.4-18 (a, b, d, f, h)
SOLUTIONS - Assignment 4: Assigned 2/16; Due 2/25: Problems 2.7-1, 2.7-2, 4.1-1 (a, c, b, d, e, h), 4.1-2 (a), 4.1-3 (a, b, c, d, e, f, h, i), 4.2-1 (a, b, c, d, e, f, g, h), 4.2-3, 4.2-5, 4.3-5, 4.3-6
SOLUTIONS - Assignment 5: Assigned 2/25; Due 3/9: Problems 4.4-2, 4.4-4, 4.5-2, 4.6-1, 6.1-1 (a, b, c, d), 6.1-2, 6.1-3, 6.1-5, 6.1-6, 6.1-7, 6.3-4, 6.3-9, 6.4-2
SOLUTIONS - Assignment 6: Assigned 3/9; Due 3/25: Problems 6.5-3, 6.5-4, 6.5-6, 6.5-9, 7.1-1, 7.1-3, 7.1-5 (b), 7.1-7 (b), 7.2-1, 7.2-2, 7.2-3, 7.2-4
SOLUTIONS - Assignment 7: Assigned 4/1; Due 4/8: Problems 7.3-1, 7.3-4, 7.3-6, 7.3-7, 7.4-1, 7.4-3, 7.5-3, 7.6-1, 7.7-4
SOLUTIONS - Assignment 8: Assigned 4/8; Due 4/15: Problems 8.1-1, 8.1-2, 8.1-6, 8.1-7, 8.2-1, 8.2-2, 8.3-1, 8.3-2
SOLUTIONS - Assignment 8: Assigned 4/22; Due 5/6: Problems 3.1-1, 3.1-2, 3.2-2, 3.3-2, 3.3-4, 3.4-2, 3.7-1, 5.1-1, 5.1-2 (b, f), 5.1-4 (a, b), 5.1-5, 5.2-3 (a), 5.2-9 (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 z-transforms; 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 Ben-Dor
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, 471-6259.
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, self-giving 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, re-taking 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 11-802.
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. 1-52 pp. 53-64 |
|
1/21 | Chapter 1: Complex Numbers, Signals, Operations |
pp. 1-24, pp. 68-86 |
|
1/26 | Impulse response, exponents, linearity, summary | pp. 86-131 | HW 1 Due Beginning of Class |
1/28 | Chapter 2: System response, Impulse response |
pp. 151-171 | |
2/2 | Convolution | pp. 171-192 | HW 2 Due Beginning of Class |
2/4 | Interconnected Systems, Zero state response | pp. 192-226 | |
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 double-sided crib sheet allowed |
All Material to Date |
|
2/16 | Chapter 4: Laplace Transforms |
pp. 340-359 | |
2/18 | Laplace Transform Properties | pp. 360-371 | |
2/23 | Laplace Transforms in System Analysis | pp. 371-384 | |
2/25 | Laplace in Electrical Circuits, Feedback, op-amps | pp. 384-423, pp. 467-468 | HW 4 Due Beginning of Class |
3/2 | Chapter 6: Fourier Series (FS) |
pp. 594-614 | |
3/4 | Exponential form of Fourier Series | pp. 614-633 | |
3/9 | Parsevals Theorem, System Analysis with FS |
pp. 633-640 | HW 5 Due Beginning of Class |
3/11 | Signals as Vectors | pp. 641-661 | |
3/16 | No Class – Spring Break | ||
3/18 | No Class – Spring Break | ||
3/23 | Chapter 7: Fourier Transform (FT) |
pp. 678-698 | |
3/25 | Review for Exam 2 Laplace Transform, Fourier Series, Fourier Transform |
pp. 698-719 | HW 6 Due Beginning of Class |
3/30 | Exam 2 in class, closed book, two double-sided crib sheets allowed |
All Material since Exam 1 | |
4/1 | Fourier Transform Properties, FT to analyze Systems and Filters | pp. 699-729 | |
4/6 | Energy, Modulation, Comm. Systems | pp. 728-746 | |
4/8 | Chapter 8: Sampling Theorem – discrete samples |
pp. 770-798 | HW 7 Due Beginning of Class |
4/13 | Reconstructing sampled signals, Spectrum sampling, A/D and D/A | pp. 778-798 | |
4/15 | The DFT zero padding, aliasing, FFT | pp. 798-817 | HW 8 Due Beginning of Class |
4/20 | Exam 3 in class, closed book, three double-sided crib sheets allowed |
All Material since Exam 2 | |
4/22 | Discrete Fourier Transform (DFT); Chapter 3: Discrete Time Systems |
pp. 245-259 | |
4/27 | Discrete Time System examples | pp. 259-276 | |
4/29 | Discrete impulse response, convolution | pp. 276-299 | |
5/4 | Chapter 5: Z-Transform for discrete signals, properties |
pp. 494-514 | |
5/6 | Z-Transform operations, difference equations, zero-state response | pp. 515-524 | HW 9 Due Beginning of Class |
Saturday 5/15 9am-12noon |
Final Exam, closed book, four double-sided 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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