Abstract and Applied Analysis

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

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

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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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Abstr. Appl. Anal., Volume 2014, Special Issue (2013), Article ID 638648, 6 pages.

First available in Project Euclid: 27 February 2015

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Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang. Local Fractional $Z$ -Transforms with Applications to Signals on Cantor Sets. Abstr. Appl. Anal. 2014, Special Issue (2013), Article ID 638648, 6 pages. doi:10.1155/2014/638648. https://projecteuclid.org/euclid.aaa/1425047791

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