ECE 513: Vector Space Signal Processing (Spring 2025)
Course Information
Resources
Outline
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Projections in Hilbert space: Hilbert space; projection theorem; normal equations, approximation and Fourier series; pseudoinverse operators, application to extrapolation of bandlimited sequences, and to compressive sensing.
Reading
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Class notes by Bresler, Basu and Couvreur (BBC). PDF Link.
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S. Axler, Linear Algebra Done Right (4th edition), Springer. PDF Link.
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S. Damelin and W. Miller, Jr, The Mathematics of Signal Processing, Cambridge University Press. PDF Link.
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C.L. Byrne, Signal Processing: A Mathematical Approach, (2nd edition). Chapman and Hall/CRC. PDF Link.
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