Lectures: Mondays, Wednesdays, 11-12:20 p.m.; 57 Everitt Lab.
Instructor: Prof. Yoram
Bresler (
ybresler
at uiuc.edu, 112 Coordinated Science Lab, 244-9660)
Office Hours: Mondays 3:30-4:30 PM (+ appointments by email).
Graders (for questions about grading): Kiryung Lee, kiryung at gmail.com;
Quang Nguyen, nguyenhuuquang at gmail.com
Overview:
Rigorous presentation of key mathematical tools in a vector space framework,
and their applications in signal processing, including: finite and infinite
dimensional vector spaces, Hilbert spaces, linear operators, inverse problems
(e.g. deconvolution, tomography, Fourier imaging),
least-squares methods, conditioning and regularization, matrix decompositions,
subspace methods, bases and frames for signal representation (e.g. generalized
Fourier series, wavelets, splines), Hilbert space of random variables, random
processes, signal and spectral estimation.
Topics:
Handouts:
Lecture Notes: (access restricted to only people registered in the
course)
Extra Notes:
Homework : (access restricted )
Problem Set #1: Due Wednesday, Jan 23, 2008.
Problem Set #2: Due Wednesday, Feb 13, 2008.
Problem Set #3: Due Wednesday, Feb 20, 2008.
Problem Set #4: Due Monday, March 3, 2008.
Problem Set #5: Due Monday, March 24, 2008.
Problem Set #6: Due Friday, April 11, 2008.
Homework Solutions (access restricted)
Problem Set #1: Posted Wednesday, Feb 13, 2008.
Problem Set #2: Posted Thursday, Feb 21, 2008.
Problem Set #3: Posted Thursday, Feb 28, 2008.
Problem Set #4: Posted Tuesday, March4, 2008.
Problem Set #5: Posted Saturday, April 19, 2008.
Problem Set #6: Posted Sunday, April 20, 2008.
Exams (access restricted)
Midterm 1
Tuesday 3/4/08 7 – 9 PM. Location: 170 Everitt Lab
Coverage: Ch. 1 & Ch. 2 of BBC (incl. material on HWs 1- 4).
Closed book test. You are allowed one two-sided sheet of paper.
Previous Exams
Midterm 2
Tuesday, April 22, 7 – 9 PM. Location: 163 Everitt Lab
Coverage: Ch. 1 - Ch. 7 of BBC (incl. material on HWs 1- 6).
Closed book test. You are allowed two two-sided sheet of paper.
Previous Exams
Final Projects
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Tuesday 4/29/08, 351 CSL |
Wednesday 4/30/08, 141 CSL |
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4:00-4:30 |
Nghia |
5:30-6:00 |
Arthur |
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4:30-5:00 |
Victor |
6:00-6:30 |
Sanketh |
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5:00-5:30 |
Jun |
6:30-7:00 |
Mert Dikmen |
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5:30-6:00 |
Anh |
7:00-7:30 |
Loan |
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6:00-6:30 |
Mert Bay |
7:30-8:00 |
Spencer |
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6:30-7:00 |
Bernard |
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General guidelines and criteria for evaluation of the
presentations:
1. Clear statement of the problem being addressed or of the
main ideas and purpose of the theory being introduced.
2. Precise statement of theoretical results (e.g., key theorem(s),
key algorithm),
and explanation of the significance and role of assumptions needed for
these results to hold.
3. Explanation of
a. the meaning of the results
b. their significance
c. their implications (for applications, and/or for the development
of additional theory)
d. their limitations (when they break down, do not apply)
4. Understanding and ability to explain (in a mathematically
precise way, but also providing the intuition) the technical derivation of one
of the key results.
a. You need to be able to
teach your audience something new they have not seen before in the course.
b. Spend at least 5 minutes on this -- but remember to
allocate your time to cover the other criteria/components.
5. Clear illustration of the application of the results/theory by
appropriate example(s) -- either your own simulation or analysis, or from the
paper(s) you have read.
6. Suggestions for future work (brief): what are open problem, or
what extension/applications might be interesting to pursue.
7. Ability to answer questions.