Symulacja statystyczna 4D pól losowych z użyciem rozkładu Kotelnikova-Shannona
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RIS BIB ENDNOTEStatistical 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.16.008.5484Autorzy
Statistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition
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.
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Informacje: Geoinformatica Polonica, 2016, Vol. 15 (2016), s. 73 - 83
Typ artykułu: Oryginalny artykuł naukowy
Tytuły:
Statistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition
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
Licencja: CC BY-NC-ND
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