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


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.


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
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.


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 -
HKN Tutoring -

Lecture Schedule

DateTopicReading AssignmentsImportant 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
Final Exam,
closed book,
four double-sided crib sheets allowed
All Material
to Date

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