ECE 503 Probability and Random Processes for Engineering Applications

Course Level

Graduate

Course Description

Probability, random variables, stochastic processes, correlation functions and spectra with applications to communications, control and computers.

Enrollment Requirements

An undergraduate course in probability

Course Texts

Papoulis, A., and S.U. Pillai. Probability, Random Variables and Stochastic Processes. 4th ed. McGraw-Hill, 2002. (Other editions acceptable.)

Course Units
3
Core Designation
Typically Offered
Fall
Available Online

ECE 501B Advanced Linear Systems Theory

Required course: No

Course Level

Graduate

Course Description

Mathematical fundamentals for analysis of linear systems. Maps and operators in finite and infinite dimensional linear vector spaces, metric spaces, and inner-product spaces. Introduction to representation theory. Eigensystems. Spectral theorems and singular value decomposition. Continuity, convergence and separability. Sturm-Louisville theory.

Enrollment Requirements

Graduate standing or permission of the instructor

Course Texts

  • Axler, Sheldon. Linear Algebra Done Right. 3rd ed. Springer, 2015.
  • Franks, L.E. Signal Theory. Revised ed. Dowden & Culver, 1981. (Provided)
  • Suggested: Solow, Daniel. How to Read and Do Proofs. 6th ed., John Wiley & Sons, 2014.

Schedule

150 minutes lecture per week

Assessment

  • Homework: 6 assignments
  • Project: 1 team project

     
Course Units
3
Core Designation
Typically Offered
Fall
Available Online
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