Reconstruction of sampling in shift-invariant space using generalized inverse-中国期刊网

摘要 Amethodthatattemptstorecoversignalusinggeneralizedinversetheoryispresentedtoobtainagoodapproximationofthesignalinreconstructionspacefromitsgeneralizedsamples.Theproposedapproachesdifferwiththeassumptionsonreconstructionspace.Ifthereconstructionspacesatisfiesone-to-onerelationshipbetweenthesamplesandthereconstructionmodel,thenweproposeamethod,whichachievesconsistentsignalreconstruction.Atthesametime,whenthenumberofsamplesismorethanthenumberofreconstructionfunctions,theminimal-normreconstructionsignalcanbeobtained.Finally,itisdemonstratedthattheminimal-normreconstructioncanoutperformconsistentsignalreconstructioninboththeoryandsimulationsfortheproblem.

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Reconstruction of sampling in shift-invariant space using generalized inverse

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Reconstruction of sampling in shift-invariant space using generalized inverse

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