Accession Number : ADA188033

Title :   Five-Diagonal Weighting Scheme for Geoidal Profiles,

Corporate Author : NOVA UNIV OCEANOGRAPHIC CENTER DANIA FL

Personal Author(s) : Blaha, Georges

PDF Url : ADA188033

Report Date : Mar 1987

Pagination or Media Count : 21

Abstract : Rigorous weighting of geoidal observations along profiles, such as encountered, for example, in satellite altimetry, would be a task exceedingly demanding in terms of computer run-time. A profile with m observation points would require an inversion of an (mxm) variance-covariance matrix, whose entries are correlated and depend almost entirely on the geoidal covariance function. However, if the observations are uniformly distributed, a slight modification of this function can greatly facilitate the formation of the weight matrix of observations, which subsequently enters the least-squares adjustment process. In the suggested method this matrix is five-diagonal. Its six distinct entries are known beforehand for any number of observations. Keywords: Least-squares method; Geoid undulations; Covariance function; Variance-covariances; Weight matrix; Diagonal matrix; Tri-diagonal matrix; Five-diagonal matrix; Observational noise; Geoidal signal; Collocation; Autoregression.

Descriptors :   *GEOIDS, ALTIMETERS, ARTIFICIAL SATELLITES, COMPUTERS, COVARIANCE, LEAST SQUARES METHOD, PROFILES, WEIGHTING FUNCTIONS, ALGORITHMS, INVERSION, MATRICES(MATHEMATICS), REGRESSION ANALYSIS, GRAVITY, NOISE

Subject Categories : Geodesy
      Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE