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Steady-State Kalman Filter for Assimilating Data from a Single Polar Orbiting Satellite

Banfield, Don and Ingersoll, Andrew P. and Keppenne, Chiusnan L. (1995) Steady-State Kalman Filter for Assimilating Data from a Single Polar Orbiting Satellite. Journal of the Atmospheric Sciences, 52 (6). pp. 737-753. ISSN 0022-4928. doi:10.1175/1520-0469(1995)052<0737:ASSKFF>2.0.CO;2.

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A steady-state scheme for data assimilation in the context of a single, short period (relative to a day), sun-synchronous, polar-orbiting satellite is examined. If the satellite takes observations continuously, the gains, which are the weights for blending observations and predictions together, are steady in time. For a linear system forced by random noise, the optimal steady-state gains (Wiener gains) are equivalent to those of a Kalman filter. Computing the Kalman gains increases the computational cost of the model by a large factor, but computing the Wiener gains does not. The latter are computed by iteration using prior estimates of the gains to assimilate simulated observations of one run of the model, termed “truth,” into another run termed “prediction.” At each stage, the prediction errors form the basis for the next estimate of the gains. Steady state is achieved after three or four iterations. Further simplification is achieved by making the gains depend on longitudinal distance from the observation point, not on absolute longitude. For a single-layer primitive equation model, the scheme works well even if only the mass field is observed but not the velocity field. Although the scheme was developed for Mars Observer, it should be applicable to data retrieved from Earth atmosphere satellites, for example, UARS.

Item Type:Article
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URLURL TypeDescription<0737:ASSKFF>2.0.CO;2 DOIArticle
Ingersoll, Andrew P.0000-0002-2035-9198
Additional Information:© 1995 American Meteorological Society. Manuscript received 20 July 1993, in final form 3 August 1994.
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Caltech Division of Geological and Planetary Sciences5304
Issue or Number:6
Record Number:CaltechAUTHORS:20130305-080010252
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Official Citation:Bankeld, Don, Andrew P. Inofrsoll, Chiusnan L. Keppenne, 1995: A steady-state kalman filter for assimilating data from a single polar orbiting satellite. J. Atmos. Sci., 52, 737–753. doi:<0737:ASSKFF>2.0.CO;2
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37286
Deposited By: Tony Diaz
Deposited On:06 Mar 2013 16:41
Last Modified:09 Nov 2021 23:28

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