Cardinal Interpolation,

Abstract

Base functions of various kind can be used for prediction problems. All of them are interrelated to each other. In particular, the family of splines, the Gaussian function, the sin pi x/pi x function, the Hirvonen covariance functions, and the Bjerhammar interpolation functions are considered here. Particular emphasis is put on the important role of the correlation length of the base (covariance) function; its strong relations to the data sampling rate and to the maximum prediction error should advantageously be used as a guideline for the design of gravity field data-collection and data-processing programs.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1981
Accession Number
ADA102684

Entities

People

  • Hans Suenkel

Organizations

  • Ohio State University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Algorithms
  • Band Structures
  • Data Processing
  • Data Sets
  • Energy Bands
  • Equations
  • Frequency
  • Frequency Domain
  • Integrals
  • Linear Systems
  • New York
  • Random Variables
  • Step Functions
  • Stochastic Processes
  • Two Dimensional
  • United States

Readers

  • Approximation Theory.
  • Systems Analysis and Design