Local fractional Z -transforms with applications to signals on cantor sets

Kai Liu; Ren Jie Hu; Carlo Cattani; Gong Nan Xie; Xiao Jun Yang; Yang Zhao

doi:10.1155/2014/638648

Local fractional Z -transforms with applications to signals on cantor sets

Kai Liu, Ren Jie Hu, Carlo Cattani, Gong Nan Xie, Xiao Jun Yang, Yang Zhao

School of Marine Science and Technology

Research output: Contribution to journal › Article › peer-review

15 Scopus citations

Abstract

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.

Original language	English
Article number	638648
Journal	Abstract and Applied Analysis
Volume	2014
DOIs	https://doi.org/10.1155/2014/638648
State	Published - 2014

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title = "Local fractional Z -transforms with applications to signals on cantor sets",

abstract = "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.",

author = "Kai Liu and Hu, {Ren Jie} and Carlo Cattani and Xie, {Gong Nan} and Yang, {Xiao Jun} and Yang Zhao",

year = "2014",

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AU - Liu, Kai

AU - Hu, Ren Jie

AU - Cattani, Carlo

AU - Xie, Gong Nan

AU - Yang, Xiao Jun

AU - Zhao, Yang

PY - 2014

Y1 - 2014

N2 - 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.

AB - 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.

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VL - 2014

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Local fractional Z -transforms with applications to signals on cantor sets

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