Abstract
Introduced almost 40 years ago, the method of optimal interpolation (OI) has been successfully used in various forms for data analysis in meteorology and oceanography. At the same time upper-atmospheric applications of OI and other techniques based on optimal estimation have remained relatively limited. The theory of OI and related methods is reviewed. Properties of optimal estimation relevant to typical problems of data analysis in the upper atmosphere are highlighted. As a specific example, a simple one-dimensional scheme of OI in time is considered. The scheme is devised to address an important problem of the upper-atmospheric data analysis: extraction of periodic (tidal) components from observations covering a fraction of a day. Possible generalizations of the scheme are also briefly discussed. © 1999 Elsevier Science Ltd. All rights reserved.
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