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CHANNELED SAMPLING IN SHIFT INVARIANT SPACES

Y. M. HONG

Division of Applied Mathematics, KAIST, 373-1 Guseongdong Yuseonggu, Daejeon, 305-701, Korea

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J. M. KIM

Division of Applied Mathematics, KAIST, 373-1 Guseongdong Yuseonggu, Daejeon, 305-701, Korea

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K. H. KWON

Division of Applied Mathematics, KAIST, 373-1 Guseongdong Yuseonggu, Daejeon, 305-701, Korea

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, and

E. H. LEE

Division of Applied Mathematics, KAIST, 373-1 Guseongdong Yuseonggu, Daejeon, 305-701, Korea

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https://doi.org/10.1142/S0219691307002038Cited by:11 (Source: Crossref)

Abstract

We develop sampling expansion formulas on the shift invariant closed subspace V(ϕ) of L²ℝ generated by a frame or a Riesz generator ϕ(t). We find necessary and sufficient conditions under which a regular shifted sampling expansion to hold on V(ϕ) and also introduce a single channel sampling on V(ϕ) together with some illustrating examples.

Keywords:

AMSC: 42C15, 94A20

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