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Reconstruction algorithm in lattice-invariant signal spaces

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Abstract

In this paper, we mainly pay attention to the weighted sampling and reconstruction algorithm in lattice-invariant signal spaces. We give the reconstruction formula in lattice-invariant signal spaces, which is a generalization of former results in shift-invariant signal spaces. That is, we generalize and improve Aldroubi, Gröchenig and Chen’s results, respectively. So we obtain a general reconstruction algorithm in lattice-invariant signal spaces, which the signal spaces is sufficiently large to accommodate a large number of possible models. They are maybe useful for signal processing and communication theory.

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  1. Department of Mathematics, Zhejiang University, 310027, Hangzhou, China

    Xian Jun

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  1. Xian Jun
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Correspondence to Xian Jun.

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Jun, X. Reconstruction algorithm in lattice-invariant signal spaces. J Zheijang Univ Sci A 6, 760–763 (2005). https://doi.org/10.1631/jzus.2005.A0760

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  • DOI: https://doi.org/10.1631/jzus.2005.A0760

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