## Abstract and Applied Analysis

### 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.

#### Article information

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

Dates
First available in Project Euclid: 27 February 2015

https://projecteuclid.org/euclid.aaa/1425047791

Digital Object Identifier
doi:10.1155/2014/638648

Mathematical Reviews number (MathSciNet)
MR3182299

Zentralblatt MATH identifier
07022798

#### Citation

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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