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Open AccessArticle

Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor

1
Electronic Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá 110221, Colombia
2
Electrical Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá 111711, Colombia
*
Author to whom correspondence should be addressed.
Electronics 2020, 9(10), 1607; https://doi.org/10.3390/electronics9101607
Received: 13 August 2020 / Revised: 15 September 2020 / Accepted: 17 September 2020 / Published: 1 October 2020
(This article belongs to the Special Issue Fractional-Order Circuits & Systems Design and Applications)
Random number generators are used in areas such as encryption and system modeling, where some of these exhibit fractal behaviors. For this reason, it is interesting to make use of the memristor characteristics for the random number generation. Accordingly, the objective of this article is to evaluate the performance of a chaotic memristive system as a random number generator with fractal behavior and long-range dependence. To achieve the above, modeling memristor and its corresponding chaotic systems is performed, from which a random number generator is constructed. Subsequently, the Hurst parameter for the detection of long-range dependence is estimated and a fractal analysis of the synthesized data is performed. Finally, a comparison between the model proposed in the research and the β-MWM algorithm is made. The results obtained show that the data synthesized from the proposed generator have a variable Hurst parameter and both monofractal and multifractal behavior. The main contribution of this research is the proposal of a new model for the synthesis of traces with long-range dependence and fractal behavior based on the non-linearity of the memristor. View Full-Text
Keywords: chaotic systems; long range dependence; memristor; multifractal analysis and random number generator chaotic systems; long range dependence; memristor; multifractal analysis and random number generator
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MDPI and ACS Style

Téllez, M.; Mejía, J.; López, H.; Hernández, C. Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor. Electronics 2020, 9, 1607. https://doi.org/10.3390/electronics9101607

AMA Style

Téllez M, Mejía J, López H, Hernández C. Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor. Electronics. 2020; 9(10):1607. https://doi.org/10.3390/electronics9101607

Chicago/Turabian Style

Téllez, María; Mejía, Johan; López, Hans; Hernández, Cesar. 2020. "Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor" Electronics 9, no. 10: 1607. https://doi.org/10.3390/electronics9101607

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