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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Random periodic sampling patterns for shift-invariant spaces

## Random periodic sampling patterns for shift-invariant spacesAdd to your list(s) Download to your calendar using vCal - Diana Carbajal (University of Vienna)
- Thursday 18 July 2024, 12:15-12:35
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact nobody. DREW01 - Multivariate approximation, discretization, and sampling recovery In this talk we present a random sampling approach for multi-variate signals spanned by the integer shifts of a set of generating functions with distinct frequency profiles. We show that taking the samples over a random periodic non-uniform set produces a sampling set with high probability, provided that the density of the sampling pattern exceeds the number of frequency profiles by a logarithmic factor. The result includes, in particular, the case of Paley-Wiener spaces with multi-band spectra. While in this well-studied setting delicate constructions provide sampling strategies that meet the information theoretic benchmark of Shannon and Landau, the sampling pattern that we consider provides, at the price of a logarithmic oversampling factor, a simple alternative that is accompanied by favorable a priori stability margins (snug frames). Notably, the results obtained for this case are independent of the ambient dimension. This is a joint work with Jorge Antezana (Autonomous University of Madrid) and José Luis Romero (University of Vienna). This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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