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[Author] Jaekyu LEE(1hit)

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  • Irregular Sampling on Shift Invariant Spaces

    Kil Hyun KWON  Jaekyu LEE  

     
    PAPER-Digital Signal Processing

      Vol:
    E93-A No:6
      Page(s):
    1163-1170

    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.