Local Fractional Z-Transforms with Applications to Signals on Cantor Sets

The Z-transform has played an important role in signal processing. In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is applied to analyze signals, in the following...

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Bibliographic Details
Main Authors: Kai Liu, Ren-Jie Hu, Carlo Cattani, Gong-Nan Xie, Xiao-Jun Yang, Yang Zhao
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/638648
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Summary:The Z-transform has played an important role in signal processing. In this paper the Z-transform has been generalized by the coupling of both the Z-transform and the local fractional complex calculus. In the literature the local fractional Z-transform is applied to analyze signals, in the following it will be used to analyze signals on Cantor sets. Some examples are also given to show the efficiency and accuracy for handling the signals on Cantor sets.
ISSN:1085-3375
1687-0409