Accession Number:

ADA188033

Title:

Five-Diagonal Weighting Scheme for Geoidal Profiles,

Descriptive Note:

Corporate Author:

NOVA UNIV OCEANOGRAPHIC CENTER DANIA FL

Personal Author(s):

• Blaha, Georges

Report Date:

1987-03-01

Pagination or Media Count:

21.0

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