Sampling and reconstruction of signals with finite rate of innovation

by Benjamin Bejar Haro (PSI - Paul Scherrer Institut)

Wednesday 11 Oct 2023, 11:30 → 13:00 Europe/Zurich

OHSA/E13 (ZOOM ID: https://psich.zoom.us/j/67317666634 )

Abstract:
Sampling and reconstruction of signals is at the core of signal processing. It establishes conditions under which a continuous signal can be perfectly reconstructed from its samples. The celebrated Shannon-Whittaker sampling theorem establishes such conditions for bandlimited signals. Generalizations to the sampling theorem have been made to accommodate more general shift-invariant subspaces by providing a geometric interpretation of the sampling and interpolation operations. More recently, there have also been extensions to other classes of parametric signals (a.k.a. signals with finite rate of innovation or FRI signals) such as streams of parametric pulses (e.g., Diracs, Gaussians, exponentials, splines, etc). In this talk, we will introduce the FRI sampling framework as well as practical algorithms for the estimation of such signals. This theory can find applications in super-resolving the occurrence of events in time (or space) from a set of discrete (on a grid) measurements.

ZOOM ID: https://psich.zoom.us/j/67317666634