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The Slepian Problem on the Sphere

  • A. Albertella
  • F. Sansò
  • N. Sneeuw
Conference paper
Part of the International Association of Geodesy Symposia book series (IAG SYMPOSIA, volume 122)

Abstract

The Slepian problem consists in determining a sequence of functions that constitute an orthonormal basis of a subset of ℝ, (or ℝ2) concentrating the maximum information in the subspace of square integrable function with bandfinite spectrum. The same problem can be stated and solved on the sphere.

The relation between the new basis and the ordinary spherical harmonic basis can beexplicitely written and numerically studied.

What turns out is that this tool is a natural solution to capture the maximum amount of information from a non-polar gradiometric mission.

Keywords

Geographical Information Orthonormal Basis Maximum Amount Integrable Function Maximum Information 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer-Verlag Berlin Heidelberg 2001

Authors and Affiliations

  • A. Albertella
    • 1
  • F. Sansò
    • 1
  • N. Sneeuw
    • 2
  1. 1.DIIARPolitecnico di MilanoMilanoItaly
  2. 2.Institut fuer Astronomische und Physikalische GeodaesieTechnische Universitaet MuenchenMuenchenGermany

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