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SUMMARY:Random periodic sampling patterns for shift-invariant spaces - Dia
 na Carbajal (University of Vienna)
DTSTART:20240718T111500Z
DTEND:20240718T113500Z
UID:TALK218182@talks.cam.ac.uk
DESCRIPTION:In this talk we present a random sampling approach for multi-v
 ariate signals spanned by the integer shifts of a set of generating functi
 ons with distinct frequency profiles. We show that taking the samples over
  a random periodic non-uniform set produces a sampling set with high proba
 bility\, provided that the density of the sampling pattern exceeds the num
 ber of frequency profiles by a logarithmic factor.\nThe result includes\, 
 in particular\, the case of Paley-Wiener spaces with multi-band spectra. W
 hile in this well-studied setting delicate constructions provide sampling 
 strategies that meet the information theoretic benchmark of Shannon and La
 ndau\, 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 resu
 lts obtained for this case are independent of the ambient dimension.\nThis
  is a joint work with Jorge Antezana (Autonomous University of Madrid) and
  Jos&eacute\; Luis Romero (University of Vienna).
LOCATION:Seminar Room 1\, Newton Institute
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