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Reconstruction algorithm in lattice-invariant signal spaces

Reconstruction algorithm in lattice-invariant signal spaces
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摘要 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, Groechenig 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. 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, Grochenig 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.
作者 冼军
出处 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2005年第7期760-763,共4页 浙江大学学报(英文版)A辑(应用物理与工程)
关键词 Lattice-invariant space Reconstruction algorithm Irregular sampling 格子变量空间 重建算法 不规则取样 信号转换空间 信号处理
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参考文献2

  • 1Karlheinz Gr?chenig.Localization of Frames, Banach Frames, and the Invertibility of the Frame Operator[J].Journal of Fourier Analysis and Applications.2004(2)
  • 2Akram Aldroubi,Karlheinz Gr?chenig.Beurling-Landau-type theorems for non-uniform sampling in shift invariant spline spaces[J].The Journal of Fourier Analysis and Applications.2000(1)

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