Accession Number : ADA182382

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

Descriptive Note : Final rept. Feb 85-Feb 86,

Corporate Author : ARMY MISSILE COMMAND REDSTONE ARSENAL AL GUIDANCE AND CONTROL DIRECTORATE

Personal Author(s) : White,Harold V ; Hung,James C

PDF Url : ADA182382

Report Date : Jun 1986

Pagination or Media Count : 14

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).

Descriptors :   *HARMONIC ANALYSIS, *FOURIER SERIES, *FINITE DIFFERENCE THEORY, DATA PROCESSING, SIGNAL PROCESSING, MODELS, APPROXIMATION(MATHEMATICS), NUMERICAL METHODS AND PROCEDURES, SAMPLING, COMPUTER APPLICATIONS

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE