Abstract
TheZ-transform has played an important role in signal processing. In this paper theZ-transform has been generalized by the coupling of both theZ-transform and the local fractional complex calculus. In the literature the local fractionalZ-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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