Asymmetric multi-channel sampling in shift invariant spaces |
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| Authors: | S Kang JM Kim |
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| Institution: | a Department of Mathematical Sciences, KAIST, Daejeon 305-701, Republic of Korea
b National Institute of Mathematical Sciences, Daejeon 305-340, Republic of Korea |
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| Abstract: | We develop an asymmetric multi-channel sampling on a shift invariant space V(?) with a Riesz generator ?(t) in L2(R), where each channeled signal is assigned a uniform but distinct sampling rate. We use Fourier duality between V(?) and L20,2π] to find conditions under which there is a stable asymmetric multi-channel sampling formula on V(?). |
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| Keywords: | Shift invariant space Multi-channel sampling Frame Riesz basis |
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