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Irregular sampling in shift invariant spaces of higher dimensions
Luleå tekniska universitet, Institutionen för teknikvetenskap och matematik, Matematiska vetenskaper.
2008 (engelsk)Inngår i: International Journal of Wavelets, Multiresolution and Information Processing, ISSN 0219-6913, E-ISSN 1793-690X, Vol. 6, nr 1, s. 121-136Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We consider irregular sampling in shift invariant spaces V of higher dimensions. The problem that we address is: find epsilon so that given perturbations (lambda(k)) satisfying sup vertical bar lambda(k)vertical bar < epsilon, we can reconstruct an arbitrary function f of V as a Riesz basis expansions from its irregular sample values f(k+lambda(k)). A framework for dealing with this problem is outlined and in which one can explicitly calculate sufficient limits epsilon for the reconstruction. We show how it works in two concrete situations.

sted, utgiver, år, opplag, sider
2008. Vol. 6, nr 1, s. 121-136
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Forskningsprogram
Matematik
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URN: urn:nbn:se:ltu:diva-10751DOI: 10.1142/S0219691308002264ISI: 000254425100008Scopus ID: 2-s2.0-44349181391Lokal ID: 99b2b960-0add-11dd-ae49-000ea68e967bOAI: oai:DiVA.org:ltu-10751DiVA, id: diva2:983698
Merknad
Validerad; 2008; 20080415 (pafi)Tilgjengelig fra: 2016-09-29 Laget: 2016-09-29 Sist oppdatert: 2018-07-10bibliografisk kontrollert

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  • de-DE
  • en-GB
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