Five-Diagonal Weighting Scheme for Geoidal Profiles,

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.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1987
Accession Number
ADA188033

Entities

People

  • Georges Blaha

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Altimetry
  • Artificial Satellites
  • Computer Programs
  • Computers
  • Covariance
  • Data Science
  • Earth Sciences
  • Equations
  • Errors
  • Identities
  • Information Science
  • Inversion
  • Least Squares Method
  • Lepidoptera
  • Security

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Geodesy
  • Linear Algebra

Technology Areas

  • Space