Statistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition
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RIS BIB ENDNOTEStatistical simulation of 4D random fields by means of Kotelnikov-Shannon decomposition
Publication date: 16.11.2016
Geoinformatica Polonica, 2016, Vol. 15 (2016), pp. 73 - 83
https://doi.org/10.4467/21995923GP.16.008.5484Authors
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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Information: Geoinformatica Polonica, 2016, Vol. 15 (2016), pp. 73 - 83
Article type: Original article
Titles:
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
Published at: 16.11.2016
Article status: Open
Licence: CC BY-NC-ND
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