Peculiarities and Applications of Stochastic Processes with Fractal Properties
In this paper, the fractal properties of stochastic processes and objects in different areas were specified and investigated. These included: measuring systems and sensors, navigation and motion controls, telecommunication systems and networks, and flaw detection technologies. Additional options tha...
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| Format: | Article |
| Language: | English |
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MDPI AG
2021-09-01
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| Series: | Sensors |
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| Online Access: | https://www.mdpi.com/1424-8220/21/17/5960 |
| _version_ | 1797520844289736704 |
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| author | Oleg Semenovich Amosov Svetlana Gennadievna Amosova |
| author_facet | Oleg Semenovich Amosov Svetlana Gennadievna Amosova |
| author_sort | Oleg Semenovich Amosov |
| collection | DOAJ |
| description | In this paper, the fractal properties of stochastic processes and objects in different areas were specified and investigated. These included: measuring systems and sensors, navigation and motion controls, telecommunication systems and networks, and flaw detection technologies. Additional options that occur through the use of fractality were also indicated and exemplified for each application. Regarding the problems associated with navigation information processing, the following fractal nature processes were identified: errors of inertial sensors based on the microelectromechanical systems called MEMS, in particular gyroscopic drift and accelerometer bias, and; the trajectory movement of mobile objects. With regard to navigation problems specifically, the estimation problem statement and its solution are given by way of the Bayesian approach for processing fractal processes. The modified index of self-similarity for telecommunication series was proposed, and the self-similarity of network traffic based on the R/S method and wavelet analysis was identified. In failure detection, fractality manifested as porosity, wrinkles, surface fractures, and ultrasonic echo signals measured using non-destructive sensors used for rivet compound testing. |
| first_indexed | 2024-03-10T08:04:18Z |
| format | Article |
| id | doaj.art-c8b60e5da1f4434fb36bc4944f94b685 |
| institution | Directory Open Access Journal |
| issn | 1424-8220 |
| language | English |
| last_indexed | 2024-03-10T08:04:18Z |
| publishDate | 2021-09-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Sensors |
| spelling | doaj.art-c8b60e5da1f4434fb36bc4944f94b6852023-11-22T11:15:07ZengMDPI AGSensors1424-82202021-09-012117596010.3390/s21175960Peculiarities and Applications of Stochastic Processes with Fractal PropertiesOleg Semenovich Amosov0Svetlana Gennadievna Amosova1Laboratory of Intellectual Control Systems and Modeling, V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Street, 117997 Moscow, RussiaLaboratory of Cyber-Physical Systems, V.A. Trapeznikov Institute of Control Sciences of Russian Academy of Sciences, 65 Profsoyuznaya Street, 117997 Moscow, RussiaIn this paper, the fractal properties of stochastic processes and objects in different areas were specified and investigated. These included: measuring systems and sensors, navigation and motion controls, telecommunication systems and networks, and flaw detection technologies. Additional options that occur through the use of fractality were also indicated and exemplified for each application. Regarding the problems associated with navigation information processing, the following fractal nature processes were identified: errors of inertial sensors based on the microelectromechanical systems called MEMS, in particular gyroscopic drift and accelerometer bias, and; the trajectory movement of mobile objects. With regard to navigation problems specifically, the estimation problem statement and its solution are given by way of the Bayesian approach for processing fractal processes. The modified index of self-similarity for telecommunication series was proposed, and the self-similarity of network traffic based on the R/S method and wavelet analysis was identified. In failure detection, fractality manifested as porosity, wrinkles, surface fractures, and ultrasonic echo signals measured using non-destructive sensors used for rivet compound testing.https://www.mdpi.com/1424-8220/21/17/5960fractalitymathematical modelsensorsnavigation and motion controltelecommunication systems and networksflaw detection |
| spellingShingle | Oleg Semenovich Amosov Svetlana Gennadievna Amosova Peculiarities and Applications of Stochastic Processes with Fractal Properties Sensors fractality mathematical model sensors navigation and motion control telecommunication systems and networks flaw detection |
| title | Peculiarities and Applications of Stochastic Processes with Fractal Properties |
| title_full | Peculiarities and Applications of Stochastic Processes with Fractal Properties |
| title_fullStr | Peculiarities and Applications of Stochastic Processes with Fractal Properties |
| title_full_unstemmed | Peculiarities and Applications of Stochastic Processes with Fractal Properties |
| title_short | Peculiarities and Applications of Stochastic Processes with Fractal Properties |
| title_sort | peculiarities and applications of stochastic processes with fractal properties |
| topic | fractality mathematical model sensors navigation and motion control telecommunication systems and networks flaw detection |
| url | https://www.mdpi.com/1424-8220/21/17/5960 |
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