Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach | Zendy

Zhiyong Chen | Zendy; Carlo Cattani | Zendy; Wei-Ping Zhong | Zendy

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Signal Processing for Nondifferentiable Data Defined on Cantor Sets: A Local Fractional Fourier Series Approach

Author(s) -

Zhiyong Chen,

Carlo Cattani,

Wei-Ping Zhong

Publication year - 2014

Publication title -

advances in mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.283

H-Index - 23

eISSN - 1687-9139

pISSN - 1687-9120

DOI - 10.1155/2014/561434

Subject(s) - fourier series , series (stratigraphy) , fractional calculus , fourier transform , mathematics , point (geometry) , signal (programming language) , algorithm , signal processing , process (computing) , computer science , mathematical analysis , digital signal processing , geometry , paleontology , computer hardware , biology , programming language , operating system

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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