Publication IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer SciencesVol.E93-ANo.6pp.1163-1170 Publication Date: 2010/06/01 Online ISSN: 1745-1337 DOI: 10.1587/transfun.E93.A.1163 Print ISSN: 0916-8508 Type of Manuscript: PAPER Category: Digital Signal Processing Keyword: shift invariant space, irregular sampling, frame, Riesz basis,
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Summary: Let V(φ) be a shift invariant subspace of L2(R) with a Riesz or frame generator φ(t). We take φ(t) suitably so that the regular sampling expansion : f(t) = f(n)S(t-n) holds on V(φ). We then find conditions on the generator φ(t) and various bounds of the perturbation {δ n }n∈Z under which an irregular sampling expansion: f(t) = f(n+ δn)Sn(t) holds on V(φ). Some illustrating examples are also provided.
f(n)S(t-n) holds on V(φ). We then find conditions on the generator φ(t) and various bounds of the perturbation {δ n }n∈Z under which an irregular sampling expansion: f(t) = 
