Please use this identifier to cite or link to this item: https://doi.org/10.1007/s00365-003-0539-0
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dc.titleNonuniform Average Sampling and Reconstruction in Multiply Generated Shift-Invariant Spaces
dc.contributor.authorAldroubi, A.
dc.contributor.authorSun, Q.
dc.contributor.authorTang, W.-S.
dc.date.accessioned2014-10-28T02:39:35Z
dc.date.available2014-10-28T02:39:35Z
dc.date.issued2004
dc.identifier.citationAldroubi, A., Sun, Q., Tang, W.-S. (2004). Nonuniform Average Sampling and Reconstruction in Multiply Generated Shift-Invariant Spaces. Constructive Approximation 20 (2) : 173-189. ScholarBank@NUS Repository. https://doi.org/10.1007/s00365-003-0539-0
dc.identifier.issn01764276
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/103631
dc.description.abstractThe problem of reconstructing a function f from a set of nonuniformly distributed, weighted-average sampled values {∫R d f(x)ψXj(x) dx: j ∈ J} is studied in the context of shift-invariant subspaces of Lp(Rd) generated by p-frames. The special but important case where the weighted-average sampled values are of the form {∫R d f(x)ψ (· - Xj)dx : j ∈ J} is also studied. Fast approximation-projection iterative reconstruction algorithms are developed. The performance of the algorithms are analyzed when the data is corrupted by noise. Estimates are derived for the convergence rates of the algorithms in terms of the sampling density, the generators of the shift-invariant space, and the sampling functional (ψXj).
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/s00365-003-0539-0
dc.sourceScopus
dc.subjectAmalgam spaces
dc.subjectFrame
dc.subjectIrregular sampling
dc.subjectReconstruction
dc.subjectScattered data
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1007/s00365-003-0539-0
dc.description.sourcetitleConstructive Approximation
dc.description.volume20
dc.description.issue2
dc.description.page173-189
dc.identifier.isiut000189001300001
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