Moving-Weighted-Average Smoothing Extended to the Extremities of the Data. Revision.

Abstract

The use of a symmetrical moving weighted average of 2m + 1 terms to smooth equally spaced observations of a function of one variable does not yield smoothed values of the first m and the last m observations, unless additional data beyond the range of the original observations are available. By means of analogies to the Whittaker smoothing process and some related mathematical concepts, a natural method is developed for extending the smoothing to the extremities of the data as a single overall matrix-vector operation having a well defined structure, rather than as something extra grafted on at the ends. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1979
Accession Number
ADA083808

Entities

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  • Thomas N.E. Greville

Organizations

  • University of Wisconsin–Madison

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  • Materials and Manufacturing Processes

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  • Algorithms
  • Computer Science
  • Difference Equations
  • Differential Equations
  • Extrapolation
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  • Linear Algebra
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  • Mathematics

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