Asymmetric multi-channel sampling in shift invariant spaces

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:367

Article

Kang, S.¹  Kim, J. M.²  Kwon, K. H.^1,2 

[1] Korea Adv Inst Sci & Technol, Dept Math Sci, Taejon 305701, South Korea

[2] Natl Inst Math Sci, Taejon 305340, South Korea

关键词: Shift invariant space;    Multi-channel sampling;    Frame;    Riesz basis;   

DOI  :  10.1016/j.jmaa.2009.12.005

来源: Elsevier

【 摘 要 】

We develop an asymmetric multi-channel sampling on a shift invariant space V(phi) with a Riesz generator phi(t) in L-2(R), where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between V(phi) and L-2[0, 2 pi] to find conditions under which there is a stable asymmetric multi-channel sampling formula on V(phi). (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

Free