ECE 513 Vector Space Signal Processing

Time and Place

• Monday and Wednesday, 9:30-10:50am
• Electrical and Computer Engineering Building (ECEB) 4070

Instructor

• Zhizhen Zhao, zhizhenz@illinois.edu.
• Office Hours:
  • Mon: 6:00 - 7:00 PM @ECEB 5034

TA

• Leda Sari, lsari2@illinois.edu
• Office Hours:
  • Tue: 4:00 - 5:00 PM @ ECEB 3036

Syllabus:

• Link: 2018 syllabus

No other question has ever moved so profoundly the spirit; no other idea has so fruitfully stimulated the intellect; yet no other concept stands in greater need of clarification than that of the infinite. David Hilbert

ECE 513 (Vector Space Signal Processing) covers mathematical tools in a vector space framework, including: finite and infinite dimensional vector spaces, Hilbert spaces, orthogonal projections, subspace techniques, least-squares methods, matrix decomposition, conditioning and regularizations, bases and frames, the Hilbert space of random variables, random processes, iterative methods; applications in signal processing, including inverse problems, filter design, sampling, interpolation, sensor array processing, signal and spectral estimation, sparse approximation and compressed sensing. Course Information: Prerequisite: ECE 310, ECE 313, and Math 415.

Compass

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