X2random fields in space and time

Authors:
Chunsheng Ma
Affiliations:
Department of Mathematics and Statistics, Wichita State University, Wichita, KS
Venue:
IEEE Transactions on Signal Processing
Year:
2010

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Abstract

This paper introduces some χ2 random functions,which are not homogeneous (stationary) in general, but contain the stationary case as a special case, and whose correlation structures are nonparametric and flexible so that many parametric forms can be specified. The mean square differentiability of such χ2 random function is discussed.We also make the comparison of two χ2 random functions through their finite-dimensional Laplace transforms.