ECE 534 - Random Processes (Fall 2019)

Department of Electrical and Computer Engineering
University of Illinois at Urbana-Champaign
Lectures: Tuesdays and Thursdays at 11:00AM - 12:20PM in Room 2017, ECE Building.
Instructor: Ilan Shomorony,, 324 CSL. Office hours: Tuesday 1:30-3:00pm


  • Parisa Karimi, Office hours: Wednesday 9:30-11:00am ECEB 5034
  • Leda Sari, Office hours: Thursday 2:30-4:00pm ECEB 4036

Recitations: Biweekly on Friday 1-2pm, ECEB 2015

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


  • Solutions to probability quiz
  • Probability Quiz:
    • Time: Thursday, Sept. 12, 7:00pm
    • Location: ECEB 1002 (Grainger auditorium)
    • 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 ASAP


  • 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
  • Discrete-Time Markov Chains
  • Continuous-Time Markov Chains and Poisson Processes
  • Stationarity, WSS and Ergodicity
  • Martingales and the Azuma-Hoeffding Inequality
  • Random Processes Through Linear Systems
  • Kalman and Wiener Filtering
  • Other topics as time permits


  • Homework 15%
  • Probability Review Quiz - 10%
  • First midterm exam - 20%
  • Second midterm exam - 20%
  • Final Exam - 35%