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THE ANALYSIS OF RECONSTRUCTION ERRORS AND GIBBS PHENOMENA OF MULTIWAVELETS

    This work is supported by Fok Ying Tong Education Foundation and Foundation Science Research Fund of Southwest Jiaotong University.

    https://doi.org/10.1142/9789812772763_0011Cited by:0 (Source: Crossref)
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    Abstract:

    The reconstruction precision for functions or signals is one of important factors that influence the processing effect. The factors that influence the reconstruction errors of multiwavelets are proposed and discussed in the paper. These factors include the reconstruction errors of pre/post-processing methods by themselves, multiwavelets by themselves and the interaction errors of two former parts. In addition, Gibbs phenomena of multiwavelets are analyzed and discussed in the paper, and some useful conclusions are drawn in the end.

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