Sampling and Approximation Theory
M. Unser
Israel Pollak Distinguished Lecture Series (IPDLS'08), Technion, Department of Electrical Engineering, Haifa, Israel, January 13-17, 2008.
This lecture describes the modern, Hilbert-space approach for the discretization (sampling) and reconstruction (interpolation) of signals (in two or higher dimensions) in general shift-invariant spaces (not necessarily bandlimited). We will show how Shannon's standard sampling paradigm can be adapted for approximating a signal in terms of B-spline-like basis functions. Another important issue will be the assessment of interpolation quality and the identification of basis functions (and interpolators) that offer the best performance for a given computational budget.
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AUTHOR="Unser, M.",
TITLE="Sampling and Approximation Theory",
BOOKTITLE="Israel {P}ollak Distinguished Lecture Series ({IPDLS'08})",
YEAR="2008",
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volume="",
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pages="",
address="Haifa, Israel",
month="January 13-17,",
organization="Technion, Department of Electrical Engineering",
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note="")
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