The Optimum Harmonic Content for Discrete Fourier Series Representation of a Finite Discrete Data Set.

Abstract

It is well known that any real continuous-data function can be represented by a Fourier series of infinite terms, provided a certain set of conditions are met. In practice, the infinite series is truncated to contain only a finite number of terms. Better approximation is obtained if more terms are included in the series. This last statement is not exactly true for the case of a real discrete-data function. For this case, there is an optimum truncation for its Fourier series representation. This fact has not been widely recognized. The purpose of this report is to discuss this fact. (Author).

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1986
Accession Number
ADA182382

Entities

People

  • Harold V. White
  • James C. Hung

Organizations

  • United States Army Aviation and Missile Command

Tags

Communities of Interest

  • Weapons Technologies

DTIC Thesaurus Topics

  • Analog Signals
  • Classification
  • Coefficients
  • Data Sets
  • Digital Signal Processing
  • Electrical Engineering
  • Engineering
  • Equations
  • Errors
  • Fourier Series
  • Frequency
  • Harmonics
  • Infinite Series
  • Sampling
  • Security
  • Signal Processing
  • Simultaneous Equations

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis