Data simulation of Matérn type

Authors:
Jia-Yue Li;Xin Lu;Ming Li;Shengyong Chen
Affiliations:
Key Lab of Geographical Inform. Sci., Ministry of Education, Sch. Resources and Environment Sci., East China Normal University, Shanghai, PR. China;School of Information Science & Technology, East China Normal University, Shanghai, PR. China;School of Information Science & Technology, East China Normal University, Shanghai, PR. China;College of Computer Science, Zhejiang University of Technology, Hangzhou, PR. China
Venue:
WSEAS Transactions on Computers
Year:
2010

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Abstract

Recently, the correlation function of the Matérn's receives increasing interests in geostatistics. This paper discusses our work in synthesizing the random data based on the Matérn's correlation function. The analysis in this paper exhibits that the data of the Matérn type are in the domain of fractal time series. The present results suggest that the power spectrum (PSD) based method may be efficiently for synthesizing the random data of the Matérn type. We shall explain the reason to select the PSD based method and give the demonstrations of simulations. This paper may yet provide a pavement towards the generation of multidimensional random fields of the Matérn type.