Digital simulators of the random processes

doi:10.46354/i3m.2021.emss.007

Эндаумент фонд ТГУ!
Впиши своё имя в историю университета
- Сделать пожертвование -

Add to "Quick Collection"

Description	Size	Format
Digital simulators of the random processes	1 MB	Adobe Acrobat PDF	Read	Download
DOI Доступ к ресурсу на сайте издателя			10.46354/i3m.2021.emss.007

#генератор случайных чисел

#марковские модели

#матрица переходных вероятностей

#плотность вероятности

#статистическое моделирование

Title: Digital simulators of the random processes
Creator: Chernoyarov, Oleg V.
|
Glushkov, Alexey N.
|
Korableva, Larisa
|
Litvinenko, Vladimir P.
|
Makarov, Alexander A.
Date: 2021
DOI: 10.46354/i3m.2021.emss.007
Description: The proposed universal digital simulators of random processes based on their Markov models are considered as capable of generating sequences of samples of unlimited duration. It is shown that a simple Markov chain allows generating the random numbers with a specified two-dimensional probability distribution of the neighboring values while a doubly connected Markov model makes it possible to get the three-dimensional random numbers. The parameters of the model are determined from either a known probability density or experimental samples of the simulated random process. It is demonstrated that the simulation algorithms do not require complex mathematical transformations and that they can be implemented using a simple element base. To change the properties of the generated random processes one needs to reload the memory device with a preformed data array. The block diagrams of the simulators are studied and the probabilistic and correlation characteristics of the generated random processes are determined. It is established that with these simulators a high accuracy of convergence of the probability distributions of the selected model and the histograms of the generated sample sequences is ensured. In the common studies, one can hardly find the results that can surpass by their efficiency the ones that the proposed simulation algorithms demonstrate accounting for their non-problematic hardware implementation (the minimum computational costs) and the simplicity of reconfiguring the Markov model based simulators for generating new random processes. The introduced simulators can be used in the design, development and testing of the multi-purpose electronic equipment, with different meters and the devices for simulating radio paths.

Relationships: Show Relationship Browser for this Object
collection(s): Научное управление
Identifier: смотреть в электронном каталоге НБ ТГУ
Type: статьи в сборниках
Source: 33rd European Modeling and Simulation Symposium (EMSS 2021) : held at the 18th International Multidisciplinary Modeling and Simulation Multiconference (I3M 2021), 15 – 17 September 2021 : online. Red Hook, 2021. P. 45-51
Language: eng

Created: 11-11-2022

820 Visitors

682 Hits

144 Downloads

Научное управление Digital simulators of the random processes