TY - JOUR
T1 - Universal sampling of band-limited signals
AU - Olevskii, Alexander
AU - Ulanovskii, Alexander
N1 - Funding Information:
E-mail addresses: [email protected] (A. Olevskii), [email protected] (A. Ulanovskii). 1 The first author is partially supported by the Israel Science Foundation.
PY - 2006/6/15
Y1 - 2006/6/15
N2 - We ask if there exist universal sampling sets of given density, which provide reconstruction or stable reconstruction of every band-limited signal whose spectrum has a small Lebesgue measure. For the stable reconstruction, we show that it is crucial whether the spectrum is compact or dense. On the other hand, the non-stable universal reconstruction is possible in general situation. To cite this article: A. Olevskii, A. Ulanovskii, C. R. Acad. Sci. Paris, Ser. I 342 (2006).
AB - We ask if there exist universal sampling sets of given density, which provide reconstruction or stable reconstruction of every band-limited signal whose spectrum has a small Lebesgue measure. For the stable reconstruction, we show that it is crucial whether the spectrum is compact or dense. On the other hand, the non-stable universal reconstruction is possible in general situation. To cite this article: A. Olevskii, A. Ulanovskii, C. R. Acad. Sci. Paris, Ser. I 342 (2006).
UR - https://www.scopus.com/pages/publications/33744931899
U2 - 10.1016/j.crma.2006.04.015
DO - 10.1016/j.crma.2006.04.015
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AN - SCOPUS:33744931899
SN - 1631-073X
VL - 342
SP - 927
EP - 931
JO - Comptes Rendus Mathematique
JF - Comptes Rendus Mathematique
IS - 12
ER -