In this paper, we provide reconstruction formulae and establishthe algorithm to estimate the deviation bound for irregularly sampledsignals in orthogonal and biorthogonal wavelet subspaces respectivelyafter introducing the function class Lλσ[a,b], that does not require the symmetricity constraints δk=-δ-k of Paley-Wiener's for sampling, butalso relaxes its deviation bound in some wavelet subspaces. Then weobtain an irregular sampling theorem and an algorithm for generalwavelet subspaces deduced from the biorthogonal case. Furthermore thetheorems and algorithms are modified to a more useful case by using theZak transform ZΦ(σ,ω) (Janssen, 1993)
展开▼
