Multiresolution Optimal Interpolation and Statistical Analysis of Topex/Poseidon Satellite Altimetry

Abstract

A recently developed multiresolution estimation framework offers the possibility of highly efficient statistical analysis, interpolation, and smoothing of extremely large data sets in a multiscale fashion. This framework enjoys a number of advantages not shared by other statistically-based methods. In particular, the algorithms resulting from this framework have complexity that scales only linearly with problem size, yielding constant complexity load per grid point independent of problem size. Furthermore these algorithms directly provide interpolated estimates at multiple resolutions, accompanying error variance statistics of use in assessing resolution/accuracy tradeoffs and in detecting statistically significant anomalies, and maximum likelihood estimates of parameters such as spectral power law coefficients. this paper, we demonstrate a realization of this potential by applying the multiresolution framework to a problem of considerable current interest - the interpolation and statistical analysis of ocean surface data from the Topex/ Poseidon altimeter.

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Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1994
Accession Number
ADA459844

Entities

People

  • A. S. Willsky
  • C. Wunsch
  • P. W. Fieguth
  • W. C. Karl

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Space

DTIC Thesaurus Topics

  • Algorithms
  • Altimetry
  • Artificial Satellites
  • Computational Complexity
  • Computational Science
  • Data Analysis
  • Data Science
  • Estimators
  • Information Science
  • Kalman Filters
  • Mathematical Filters
  • Measurement
  • Multiscale Models
  • Power Spectra
  • Statistical Algorithms
  • Statistical Analysis
  • Statistics

Readers

  • Coastal Oceanography
  • Computer Vision.
  • Regression Analysis.

Technology Areas

  • Space