# ECE551 — Digital Signal Processing II

## Course description

Graduate-level introduction to signal processing with emphasis on vector space methods and adaptive signal processing.

The course prerequisites are undergraduate level probability and DSP. The linear algebra content will be self-contained, though taught at a somewhat fast pace.

Tuesday and Thursday, 12:30–2:00pm, Online

• Teaching Assistant: Helmuth Naumer, hnaumer2 [at] illinois [dot] edu

## Announcements

Office Hours Information here

Lecture recordings available here

Submit Homework on Compass

Midterm Solution

Lecture 22 Notes PDF

Lecture 21 Notes PDF

Lecture 19 Notes PDF

Homework 7 Solution Available!

Homework 9 Posted! PDF, LaTeX

Lecture 18 Notes (annotated) PDF

Lecture 17 Notes PDF

Homework 8 Posted! PDF, LaTeX, and image

Lecture 16 Notes (annotated) PDF

Lecture 15 Notes (annotated) PDF and Dynamic Gain Plot and Static Gain Plot

## Midterm Details

The exam has been distributed over email.

Solution

## Final Project Details

The final project will focus on your choice of a signal processing paper, with the goal of understanding the work and in some way extending it. The first deadline will be a project proposal due on November 5th, and it will conclude with a write-up and in-class presentation after Fall break (starting December 1st).

During this time, the only homework will be to continue working on the final project.

Details regarding the project are available here

## Course Overview

This plan will be refined over time.

 Time Topics Reading Week 1 Vector Space, Hilbert Space, Linear Operators [VKG] 1, 2.2, 2.3 Week 2 Projections, Bases, DTFT, Numerical Issues [VKG] 2.4 - 2.6 Week 3 Discrete-Time Signals [VKG] 3 Week 4 Multirate and Filterbanks [VKG] 3.7, 7.2-7.4, Notes Weeks 5-6 Continuous-Time, Sampling and Interpolation [VKG] 4,5 Weeks 6-7 Stochastic Processes [VKG] 3.8, 4.6, Notes Weeks 7 Estimation Notes Weeks 8 Approximation, Splines [VKG] 6 Week 9 Adaptive Signal Processing Notes Week 10 Midterm (10/29) Week 11-13 Special Topics Notes Week 14 Fall Break Weeks 15-16 Final Project Presentations N/A

Textbook

• Vetterli, Kovačević, Goyal, Foundations of Signal Processing, Cambridge University Press, August 2014; online

Alternative Linear Algebra Treatment

• Axler, Linear Algebra Done Right, available as PDF through UIUC online catalog

• Note: When you search for the book on the library website two links appear. One is broken, the other doesn't seem to properly redirect through the UIUC proxy. Use the above link. If the above link breaks, let us know.

• 40% Homeworks

• 30% Midterm

• 30% Final Project

## Detailed Syllabus

### Week 3 (9/7 - 9/11):

• Assignment 3 (Due 9/17) Solution

• Tuesday Lecture (9/8)

• Thursday Lecture (9/10)

• Reading: 3.4, 3.5, 3.6, 3.7

### Week 10 (10/26 - 10/30):

• Tuesday Lecture (10/27)

• Notes: PDF

• Thursday Lecture (10/29)

• Notes:

### Week 11 (11/2 - 11/6):

• Tuesday Lecture (11/3)

• Notes:

• Thursday Lecture (11/5)

• Notes:

### Week 12 (11/9 - 11/13):

• Tuesday Lecture (11/10)

• Notes: PDF

• Thursday Lecture (11/12)

• Notes: PDF

### Week 13 (11/16 - 11/20):

• Tuesday Lecture (11/3)

• Notes:

• Thursday Lecture (11/5)

• Notes:

• Fall Break

### Week 15 (11/30 - 12/4):

• Tuesday Lecture (12/1)

• Final Project Presentations

• Thursday Lecture (12/3)

• Final Project Presentations

### Week 16 (12/7 - 12/9):

• Tuesday Lecture (12/1)

• Final Project Presentations