A method to generate fully multi-scale optimal interpolation by combining efficient single process analyses, illustrated by a DINEOF analysis spiced with a local optimal interpolation

[摘要] We present a method in which the optimal interpolation ofmulti-scale processes can be expanded into a succession of simplerinterpolations. First, we prove how the optimal analysis ofa superposition of two processes can be obtained by differentmathematical formulations involving iterations and analysis focusingon a single process. From the different mathematical equivalentformulations, we then select the most efficient ones by analyzing thebehavior of the different possibilities in a simple and well-controlled test case. The clear guidelines deduced from thisexperiment are then applied to a real situation in which we combinelarge-scale analysis of hourly Spinning Enhanced Visible and Infrared Imager (SEVIRI) satellite images using data interpolating empirical orthogonal functions (DINEOF) with a local optimal interpolation using a Gaussian covariance. Itis shown that the optimal combination indeed provides the bestreconstruction and can therefore be exploited to extract the maximumamount of useful information from the original data.

[学科分类] 海洋学与技术