Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor
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 evaluat...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2020-10-01
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| Series: | Electronics |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2079-9292/9/10/1607 |
| _version_ | 1797552051747553280 |
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| author | María Téllez Johan Mejía Hans López Cesar Hernández |
| author_facet | María Téllez Johan Mejía Hans López Cesar Hernández |
| author_sort | María Téllez |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-10T15:54:38Z |
| format | Article |
| id | doaj.art-1d012c5f9f1a4c86b15184a55d52650c |
| institution | Directory Open Access Journal |
| issn | 2079-9292 |
| language | English |
| last_indexed | 2024-03-10T15:54:38Z |
| publishDate | 2020-10-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Electronics |
| spelling | doaj.art-1d012c5f9f1a4c86b15184a55d52650c2023-11-20T15:45:06ZengMDPI AGElectronics2079-92922020-10-01910160710.3390/electronics9101607Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on MemristorMaría Téllez0Johan Mejía1Hans López2Cesar Hernández3Electronic Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá 110221, ColombiaElectronic Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá 110221, ColombiaElectronic Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá 110221, ColombiaElectrical Engineering Department, Universidad Distrital Francisco José de Caldas, Bogotá 111711, ColombiaRandom 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.https://www.mdpi.com/2079-9292/9/10/1607chaotic systemslong range dependencememristormultifractal analysis and random number generator |
| spellingShingle | María Téllez Johan Mejía Hans López Cesar Hernández Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor Electronics chaotic systems long range dependence memristor multifractal analysis and random number generator |
| title | Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor |
| title_full | Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor |
| title_fullStr | Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor |
| title_full_unstemmed | Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor |
| title_short | Random Number Generator with Long-Range Dependence and Multifractal Behavior Based on Memristor |
| title_sort | random number generator with long range dependence and multifractal behavior based on memristor |
| topic | chaotic systems long range dependence memristor multifractal analysis and random number generator |
| url | https://www.mdpi.com/2079-9292/9/10/1607 |
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