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Statistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition

Data publikacji: 16.11.2016

Geoinformatica Polonica, 2016, Vol. 15 (2016), s. 73 - 83

https://doi.org/10.4467/21995923GP.16.008.5484

Autorzy

,
Zoya Vyzhva
Taras Shevchenko National University of Kyiv
Wszystkie publikacje autora →
,
Andrii Vyzhva
Taras Shevchenko National University of Kyiv
Wszystkie publikacje autora →
Kateryna Fedorenko
Taras Shevchenko National University of Kyiv
Wszystkie publikacje autora →

Tytuły

Statistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition

Abstrakt

This paper researches the real valued random fields, that are homogeneous with respect to time and homogeneous isotropic with respect to spatial variables. An analogue of the Kotelnikov-Shannon theorem for random fields with a bounded spectrum is presented. Models for such random fields by partial sums of series are constructed. Some estimates for the mean square approximation of a random field by its models are obtained. Statistical simulation procedures of realizations of a random field with Gaussian distribution are constructed. The using of these theorems, models and procedures are demonstrated through applications to generate by means of computer adequate realizations of Gaussian random field with some wide-known examples of covariance functions. Spectral analysis of generated noise is considered.

Bibliografia

Pobierz bibliografię

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Vyzhva Z. O., Fedorenko К. (2016). About Statistical Simulation of 4D Random Fields by Means of Kotelnikov-Shannon Decomposition, Journal of Applied Mathematics and Statistics (in progress).

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Informacje

Informacje: Geoinformatica Polonica, 2016, Vol. 15 (2016), s. 73 - 83

Typ artykułu: Oryginalny artykuł naukowy

Tytuły:

Angielski:

Statistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition

Polski: Symulacja statystyczna 4D pól losowych z użyciem rozkładu Kotelnikova-Shannona

Autorzy

Taras Shevchenko National University of Kyiv

Taras Shevchenko National University of Kyiv

Taras Shevchenko National University of Kyiv

Publikacja: 16.11.2016

Status artykułu: Otwarte __T_UNLOCK

Licencja: CC BY-NC-ND  ikona licencji

Udział procentowy autorów:

Zoya Vyzhva (Autor) - 33%
Andrii Vyzhva (Autor) - 33%
Kateryna Fedorenko (Autor) - 34%

Korekty artykułu:

-

Języki publikacji:

Angielski