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Optimum interpolation, basic formulation and characteristics
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    "Optimum interpolation is a technique for analyzing meteorological observations, transforming their information content into fields of meteorological variables. It is based on the statistical characteristics of the fields being analyzed. The earliest reference to the method is due to Eliassen (1954), although Gandin (1963) must receive a great deal of credit for the method's development and subsequent widespread use. Beginning in the early 1970's, it became apparent that the advent of remotely-sensed atmospheric data would greatly change the heretofore homogeneous character of the data base (largely radiosondes). Optimum interpolation offered a suitable framework for systematically treating data with different error characteristics. Rutherford (1972) and Schlatter (1975) began developing data assimilation systems based on optimum interpolation, and by 1979, the year of the Global Weather Experiment, such systems were in use at several research institutions and operational numerical weather prediction centers. This paper presents a summary of the basic formulation of the method, within the very simple context of performing an analysis at one point using only three pieces of information. Some of the method's characteristics are then illustrated by means of a series of simple analysis problems"--Introduction.

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