ECE 534  Random Processes (Spring 2019)
Department of Electrical and Computer Engineering
University of Illinois at UrbanaChampaign
Lectures: Monday and Wednesday at 11:00AM  12:20PM in Room 1015, ECE Building.
Instructor: Ilan Shomorony, ilans@illinois.edu, 324 CSL. Office hours: Tuesday 1:002:30pm
TAs: Parisa Karimi, parisa2@illinois.edu. Office hours: Thursday 11:00am12:30pm CSL 114
Amish Goel, agoel10@illinois.edu. Office hours: Wednesday 3:305:00pm ECEB 3036
Recitations: Biweekly on Friday 11am12pm, ECEB 2017 (First recitation: Feb. 1)
Prerequisites: ECE 313 (Undergraduate Probability); Knowledge of linear systems and undergraduate real analysis will be helpful
Text: B. Hajek, Random Processes for Engineers. Available at
http://hajek.ece.illinois.edu/ECE534Notes.html
Announcements
 Office Hours on Tuesday 02/18 moved to 3:305pm
 Second recitation: Friday, 02/15
 There will be no office hours on Tuesday 02/12, and no lecture on Wednesday 02/13.
 Solutions to Probability Quiz
 Probability Quiz:
 Time: Wednesday, Feb. 6, 7:00pm8:30pm
 Location: ECEB 1013 and ECEB 1015
 You will be allowed one 8.5 x 11” sheet (front and back) of handwritten notes. No calculators or other electronic devices will be allowed.
 List of topics
 If you have a conflict, send an email to ilans@illinois.edu ASAP
Topics
 Probability Review
 Convergence of a Sequence of Random Variables
 Minimum Mean Squared Error Estimation
 Jointly Gaussian random variables and vectors
 Random Walks and Brownian Motion
 DiscreteTime Markov Chains
 ContinuousTime Markov Chains and Poisson Processes
 Stationarity, WSS and Ergodicity
 Martingales and the AzumaHoeffding Inequality
 Random Processes Through Linear Systems
 Kalman and Wiener Filtering
 Other topics as time permits
Grading
 Homework 15%
 Probability Review Quiz  10%
 First midterm exam  20%
 Second midterm exam  20%
 Final Exam  35%
