Accession Number : AD0767811

Title :   Integral and Series Analogues and the Construction of Discrete Fourier Transform Pairs.

Descriptive Note : Memo.,

Corporate Author : SACLANT ASW RESEARCH CENTRE LA SPEZIA (ITALY)

Personal Author(s) : Conolly,Brian W.

Report Date : 15 AUG 1973

Pagination or Media Count : 12

Abstract : A short review is made of some recent work on a class of infinite integrals with analogous series, both having a common value. When such equivalents are found to exist it is extremely convenient for numerical evaluation of the integral and for checking. A discussion is then given of analogous finite integrals and sums, and this leads to a method for the construction of Discrete Fourier Transform pairs. Examples are given. The existence of such pairs is convenient for computer programm checking and timing, especially in connection with Fast Fourier Transform algorithms. (Author)

Descriptors :   (*INTEGRAL TRANSFORMS, FOURIER ANALYSIS), SERIES(MATHEMATICS), NUMERICAL INTEGRATION, APPROXIMATION(MATHEMATICS), ITALY

Subject Categories : Numerical Mathematics

Distribution Statement : APPROVED FOR PUBLIC RELEASE