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

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)

Document Details

Document Type
Technical Report
Publication Date
Aug 15, 1973
Accession Number
AD0767811

Entities

People

  • Brian W. Conolly

Organizations

  • SACLANT ASW Research Centre

Tags

DTIC Thesaurus Topics

  • Algorithms
  • Analogs
  • Computers
  • Construction
  • Convolution Integrals
  • Discrete Fourier Transforms
  • Fast Fourier Transforms
  • Integrals
  • Inverse Problems
  • Mathematical Analysis
  • Mathematics
  • Test And Evaluation

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Mathematical Modeling and Probability Theory.