ELE 521: LINEAR SYSTEMS

Course Outline, Fall 2006, 2007
This course is an introduction to linear systems. Topics:

1. Review of linear algebra

2. Linear regression: QR factorization, least squares, RLS, regularization.

3. Under-determined problems: Least norm solutions, regularization.

4. Eigen-decompositions: DFT, circulants, signal processing.

5. Symmetric matrices, matrix norms, ON matrices, the SVD and its applications.

6. Linear vector difference equations: solutions, stability, Gershgorin’s circle theorem.

7. Systems with nonnegative matrices: Perron’s theorem, Markov chains and other applications.

8. Linear vector differential equations: the matrix exponential, stability.

9. Reachability, observability, state feedback.

10. Advanced topics as time permits.

There are three hours of lectures each week, homework assignments, a midterm and a final.

ELE 488: IMAGE PROCESSING AND TRANSMISSION

Course Outline, Fall 2005.
This course is an introduction to the basic principles of signal processing
in two (images) and three (tomography and video) dimensions.
There are three hours of lectures each week, homework assignments,
laboratories and a final project.
The picture below is an automatically generated mosaic of three images 
taken by a handheld digital camera. Take the course and learn how it is done!

---