The search functionality is under construction.

IEICE TRANSACTIONS on Fundamentals

Irregular Sampling on Shift Invariant Spaces

Kil Hyun KWON, Jaekyu LEE

  • Full Text Views

    0

  • Cite this

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.

Publication
IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.6 pp.1163-1170
Publication Date
2010/06/01
Publicized
Online ISSN
1745-1337
DOI
10.1587/transfun.E93.A.1163
Type of Manuscript
PAPER
Category
Digital Signal Processing

Authors

Keyword