Introduction to Digital Communications

EE 360K, Unique 16665, Fall 2010
Professor Ted Rappaport
TTH 11:00 AM - 12:30 PM
ENS 126


  • HW 5 due date has been moved to Oct. 19
  • HW 6 Assigned on Oct. 14 is due on Oct 26, Exam 2 will be held Nov 4.
  • I need to cancel office hours for Monday Nov 1.

    However, I want to provide extra hours to help you prepare for Exam 2, and will thus hold office hours from 2pm to 5pm on Tuesday, Nov. 2. If the crowd gets too big, we will move to ENS 637, and I will post a note on my door. Feel free to come in and ask anything you wish from 2pm to 5pm on Tuesday, Nov 2 (and don’t forget to vote that day, too!).

  • Hw 8 due date changed to Nov. 18
  • Final Exam

    Friday, December 10, 2 -5 PM
    ENS 116

Class Information

Course Objective

To provide students with a thorough working knowledge and ability to analyze, design, and solve engineering problems in the following topics: communication channels and their impairments; modulation; demodulation; probability-of-error analysis; source coding; error control coding; link budget analysis; equalization; synchronization and multiple access; spread spectrum; applications in wireline and wireless communication systems.


Biomedical Engineering 335 or Electrical Engineering 351K with a grade of at least C-.

Instructor Information

Instructor: Dr. Ted S. Rappaport
Office Location: ENS 433A
Office Hours: Mondays and Wednesdays, 3:00 - 4:30 PM
Wednesday Night Help Session: 5:00 – 6:00 PM, ENS 637

Required Text

Digital and Analog Communication Systems, 7th Edition
Leon W. Couch II
Prentice Hall, 2006
ISBN 9780131424920


Homework will be due at the beginning of class - no exceptions.

  • Homework ..................... 15%
  • 3 Exams (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. Attendance is not specifically calculated as part of your grade, but regular attendance is required to maintain a firm grasp of the material and to do well in this course. I will consider your regular attendance favorably in determining your final grade if you are on the borderline.

Students with disabilities may request appropriate academic accommodations from the Division of Diversity and Community Engagement, Services for Students with Disabilities, 471-6259.

By UT Austin policy, you must notify me of your pending absence at least fourteen days prior to the date of observance of a religious holy day. If you must miss a class, an examination, a work assignment, or a project in order to observe a religious holy day, you will be given an opportunity to complete the missed work within a reasonable time after the absence, provided you have recieved prior approval from Prof. Rappaport at least 14 days in advance.

Course Website

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.

Syllabus and Exam Dates (subject to change)

Please refer to and update this syllabus in your browser regularly.

DateTopicReading AssignmentsImportant Class Events
8/26 Introduction, MATLAB, Comm Systems, Information Theory, Entropy, Codes, Shannon's Band pp.1-30  
8/31 Intro to dB, Data Rate, Fourier Transform, Signal Properties pp.33-58, Appendix B  
9/2 Signal Properties, dB, Fourier Transform Review, Rect, Tri FT, Convolution pp. 33-57; Appendix A & B

HW1 Due Beginning of Class

9/7 Convolution, PSD, Autocorrelation, Orthogonal Series, FS pp.58-79; Appendix A & B  
9/9 Linear Systems, Distortion, ISI, Impulse Sampling, Dimensionality pp.79-93, pp.110-114 HW 2 Due Beginning of Class
9/14 DFT, BW of Signals, Spectrum Masks pp.94-114; Appendix B  
9/16 Probability and Random Processes, Ensemble Averages, Moments Appendix B; pp. 664-679 HW 3 Due Beginning of Class
9/21 Distributions, Gaussian Q Function, Central Limit Theorem, Multivariate Appendix B; pp.679-700  

Exam 1 in class, closed book, one double-sided crib sheet allowed

  Exam 1 covers from first day of class
9/28 Stochastic Process, Ergodicity vs. WS Stationary, PSD, ACF, W-K, PSD of Digital Signals

pp. 679-700 
pp. 397-420

9/30 Stochastic Process, Ergodicity vs. WS Stationary, PSD, ACF, W-K, PSD of Digital Signals pp. 679-700 
pp. 397-420
HW 4 Due Beginning of Class
10/5 Complex Env., Bandpass, PSD for Random Processes, Gaussian Noise pp.230-244, pp.420-447  
10/7 Complex Envelope, Additive White Gaussian Noise, Cross Correlation, WSS Bandpass Signals pp. 230-244
pp. 404-447
10/12 Superhetrodyne Receivers, Image Frequencies, Sampling, Detectors, Mixers, Components, Harmonic Distortion, AM/FM

pp. 244-295


AM, SSB, VSB, Analog Modulation

pp. 302-318

10/19 FM, Angle Modulation, Frequency Division Multiplexing (FDM) pp. 319-339, pp. 290-295 HW 5 Due Beginning of Class
10/21 Digital Modulation, Frequency Division Multiplexing (FDM) pp. 339-352  
10/26 OOK, BPSK, MPSK, QPSK, QAM, pi/4 QPSK, Nyquist Filters, Raised Cosine - no ISI pp. 180-188, pp. 352-361 HW 6 Due Beginning of Class
10/28 Spectral Efficiency, Raised Cosine Filters, MSK, OFDM pp. 361-372  
11/2 Spread Spectrum, DS, Minimum Length Sequences pp. 372-383 HW 7 Due Beginning of Class

Exam 2 in class, closed book, two double-sided crib sheets allowed

  Exam 2 covers from Exam 1
11/9 Digital Baseband signaling, Quantization, PCM, Quantization noise, Spread Spectrum, DS, Minimum Length Sequences pp. 128-147
pp. 372-383
11/11 Digital line Codes, RZ, NRZ, Spectrum, Quantization Error pp. 152-180  
11/16 Time Division Multiplexing, the Modern Digital Phone System, PCM, SNRQ pp. 199-220  
11/18 The Matched Filter, Optimizing Performance in Noise, Bit Error Rates and SNR for Digital Baseband Modulations pp. 447-488 HW 8 Due Beginning of Class
11/23 BER for Coherent Bandpass Binary Modulations Phone System, Non Coherent Detection and BER for Binary Bandpass Signals, BER for BPSK, QPSK, MSK, MPSK pp. 488-508
Exam 3 handed out in class
HW 9 Due 5PM, on Wed, 11/24
11/25 No Class - Thanksgiving Break    
11/30 Comparing Systems to Shannon's bound, Real Systems pp. 514-542, pp. 552-592  
12/2 Link Budget, Noise Figure, Final Exam Review pp. 514-542, pp. 552-592  
12/3 Turn in Exam 3   2PM, Due ENS 433
Final Exam, closed book, three double-sided crib sheets allowed All to date ENS 116

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