
Accession Number : ADA188033
Title : FiveDiagonal 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 runtime. A profile with m observation points would require an inversion of an (mxm) variancecovariance 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 leastsquares adjustment process. In the suggested method this matrix is fivediagonal. Its six distinct entries are known beforehand for any number of observations. Keywords: Leastsquares method; Geoid undulations; Covariance function; Variancecovariances; Weight matrix; Diagonal matrix; Tridiagonal matrix; Fivediagonal 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