1978
DOI: 10.1175/1520-0477-59.12.1603
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Role of Observational Errors in Optimum Interpolation Analysis

Abstract: The theory of optimum interpolation analysis is presented, with emphasis on the role that observational errors have in the analysis scheme. It is shown that an estimate of the rootmean-square observational error is required and also that the correlations between errors of observations, if nonzero, must be specified. Methods of determining these quantities from observational data statistics are discussed and examples shown. Finally, error-checking routines that either accept or reject data are described. It is … Show more

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Cited by 19 publications
(8 citation statements)
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“…As a powerful method, Optimal Interpolation (OI) is widely used in data merging (e.g., Gandin 1965;Bergman 1978;Daly 1991;Xie and Xiong 2011;Shen et al 2014;Pan et al 2015. Bergman (1978) and Xie and Xiong (2011) given the relatively compact description of the theory of the IO method.…”
Section: Basic Theory Of Oi-based Multi-source Merging Methodsmentioning
confidence: 99%
See 2 more Smart Citations
“…As a powerful method, Optimal Interpolation (OI) is widely used in data merging (e.g., Gandin 1965;Bergman 1978;Daly 1991;Xie and Xiong 2011;Shen et al 2014;Pan et al 2015. Bergman (1978) and Xie and Xiong (2011) given the relatively compact description of the theory of the IO method.…”
Section: Basic Theory Of Oi-based Multi-source Merging Methodsmentioning
confidence: 99%
“…As a powerful method, Optimal Interpolation (OI) is widely used in data merging (e.g., Gandin 1965;Bergman 1978;Daly 1991;Xie and Xiong 2011;Shen et al 2014;Pan et al 2015. Bergman (1978) and Xie and Xiong (2011) given the relatively compact description of the theory of the IO method. The basic idea is to take an irregular distribution of observations of precipitation quality and obtain the best possible estimate of a precipitation field at a regular network of grid points through minimizing the mean square interpolation error for a large ensemble of analysis situations (Bergman 1978).…”
Section: Basic Theory Of Oi-based Multi-source Merging Methodsmentioning
confidence: 99%
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“…Gridded data sets prepared twice daily by the National Meteorological Center (NMC) of the U.S. National Weather Service were used. In September 1978, in preparation for the FGGE year, NMC switched from the Hough spectral analysis (Flattery, 1970) to optimum interpolation (Bergman, 1978: McPherson et al, 1979). An improvement in certain characteristics of the NMC gridded data apparently occurred at this time.…”
Section: The Data Setmentioning
confidence: 99%
“…It is important to note that the Global W'eather Experiment is the first major effort of data producers to provide their own systematic quality control indicators (qualitative and quantitative, where possible) with the data. This practice adds a new dimension of responsibility for data producers and lends itself to the optimal interpolation analysis routines that are now in use (e.g., see Bergman, 1978). Those indicators that were appended to the TIROS-N sounding allow the user to be wary of the "bad apples" in the otherwise good TIROS-N sounding "barrel."…”
Section: Operational Polar Orbiting Satellitesmentioning
confidence: 99%