On the concept and implementation of sequential analysis for linear random fields

Daniel P. Petersen

doi:10.3402/tellusa.v20i4.10048

On the concept and implementation of sequential analysis for linear random fields

Tellus

Volume 20 (1968): Issue 4

By: Daniel P. Petersen

Open Access

|Jan 1968

Abstract

Formulas are derived for the optimum (least-mean-square) linear mixing of prognostic information and synoptic observations in objective analyses. Exploitation of these results makes possible a continuing synoptic analysis, updated as new measurements are reported, without the necessity of globally simultaneous observations. For the special case of an unbounded, spatially periodic observation lattice in a homogeneous field, solutions in the wave-number domain are obtained. A one-dimensional wave equation and a thermal diffusion problem are treated as examples.

This research has been supported in part by the Techniques Development Laboratory, Weather Bureau, Environmental Science Services Administration, United States Department of Commerce.

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