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  • 标题:Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach
  • 本地全文:下载
  • 作者:Zhi-Yong Chen ; Carlo Cattani ; Wei-Ping Zhong
  • 期刊名称:Advances in Mathematical Physics
  • 印刷版ISSN:1687-9120
  • 电子版ISSN:1687-9139
  • 出版年度:2014
  • 卷号:2014
  • DOI:10.1155/2014/561434
  • 出版社:Hindawi Publishing Corporation
  • 摘要:From the signal processing point of view, the nondifferentiable data defined on the Cantor sets are investigated in this paper. The local fractional Fourier series is used to process the signals, which are the local fractional continuous functions. Our results can be observed as significant extensions of the previously known results for the Fourier series in the framework of the local fractional calculus. Some examples are given to illustrate the efficiency and implementation of the present method.
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