ECE558 — Digital Imaging, Spring 2023

Class Time and Instruction Information

Tuesday and Thursday, 12:30–2:00pm

Location: ECEB 2013

The lectures will be recorded and posted under the weekly schedule below.


Teaching assistant

The Gradescope code is K37K43

Course description

The course begins with introducing multidimensional signal theory, which constitutes a mathematical framework to study digital imaging systems. We revisit familiar concepts such as Fourier transform, convolution, sampling and interpolation in higher dimensions. Then we introduce image reconstruction, forward models of image formation, and related concepts of well-posed and ill-posed inverse problems, conditioning and stability. Classical regularization techniques and statistical methods for the solution of inverse imaging problems are introduced, followed by more recent sparsity based methods, and machine learning techniques in computational imaging. In the second half of the course, we study various imaging modalities including optical and diffraction imaging, tomography, radar and lidar, aperture synthesis and interferometry, and phase retrieval.


ECE 310: Digital Signal Processing (or equivalent), and ECE 313: Probability with Engineering Applications (or equivalent)


Course Activities


There will be weekly problem sets assigned up to the week of mid-semester exam (prior to transition to the final project); they include both standard and computational problems. Solutions will be posted on the course website. 


There will be one mid-semester exam scheduled for the week prior to spring break.

Journal Review

There will be one journal article to be chosen and reviewed by each student from a list of relevant research papers which will be posted by mid semester. A four to six page report demonstrating the understanding of the topic will be expected. The article will serve as the starting point for the formation of the final project.

Final Project

There will be a final project consisting of an oral presentation and a written report on a topic of student's choosing related to this course. A list of suggested project topics will be provided. A ten minute oral presentation, a six to ten page report, and a software demo is expected.


All submissions will happen over Gradescope.


Recommended Texts

Week by week

 Time           Topic                                                       Lecture Material   Additional material Reading Assignments

Week 1:

1/16 - 1/20

Overview & Introduction to

Multidimensional Fourier Transform

Lecture 2 Notes

  Blahut 1.1–1.5, 3.1

Homework 1

Homework 1 Solutions

Week 2:

1/23 - 1/27

Circularly symmetric functions, Resolution,

Projection Slice Theorem

Lecture 3 Notes

Lecture 4 Notes

  Blahut 3.2–3.9

Homework 2

Homework 2 Solutions

Week 3:

1/30 - 2/3

Sampling, Linear operators, Convolution, DFT

Lecture 5 Notes

Lecture 6 Notes

  Blahut 3.2–3.9

Homework 3

Homework 3 Solutions

Week 4:

2/6 - 2/10

Introduction to Inverse Problems

Tomography application

Lecture 7 Notes

Lecture 8 Notes

Lecture 8 Recording


Homework 4

Homework 4 Solutions

Week 5:

2/13 - 2/17

Discretization of Inverse Problems, SVD,

Transform domain filtering, tomography application

Lecture 9 Notes

Lecture 9 Recording

Lecture 10 Notes


Homework 5

Homework 5 Solutions

Week 6:

2/20 - 2/24

Conditioning and stability, Regularization,

Variational and Iterative Techniques

Lecture 11 Notes

Lecture 12 Notes


Blahut 11.9

Homework 6

Homework 6 Solutions

Week 7:

2/27 - 3/3

Sparsity-promoting regularization and machine learning methods

Lecture 13 Notes




Week 8:

3/6 - 3/10

Physics of image formation: optical imaging

Lecture 15 Notes

Lecture 16 Notes

  Blahut 4.1-4.5, 4.7, 4.8  

Week 9:

3/20 - 3/24

Principles of Range-Doppler radar and lidar

Project Guide

Lecture 17 Notes

Lecture 18 Notes

Paper List  

Journal Review/

Project proposal

Week 10:

3/27 - 3/31
Principles of Range-Doppler radar and lidar

Review Notes

Lecture 19 Notes

  Blahut 6.1-6.7, 4.7, 4.8

Due: Project Selection (3/28)

Exam date: Thursday (3/30)

Week 11:

4/3 - 4/7
Synthetic-Aperture Radar

Lecture 20 Notes

Lecture 21 Notes

  Blahut 7.5-7.7 Due: Project Proposal/Review (4/6)

Week 12:

4/10 - 4/14

Project Presentations



Week 13:

4/17 - 4/21
Interferometric Radio Astronomy





Week 14:

4/24 - 4/28

Week 15:


5/2: Last day of instruction