The Fourier Transform and Some of Its Applications.

Abstract

The discrete Fourier transform and the inverse transform of a finite set of data points are derived. By relating these transforms to a 'fast Fourier transform,' it is shown how they may be used efficiently in convolving two sets of data points, digital filtering, computing lagged products, and estimating amplitude spectra. Some of the difficulties encountered in using transforms in these areas are discussed, and computation times for direct evaluation of the results are compared with those using transform methods. (Author)

Document Details

Document Type
Technical Report
Publication Date
Sep 28, 1970
Accession Number
AD0713935

Entities

People

  • L. Bruce Palmer

Organizations

  • United States Naval Research Laboratory

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Computations
  • Discrete Fourier Transforms
  • Fast Fourier Transforms
  • Filtration
  • Fourier Transformation
  • Integral Transforms
  • Mathematics
  • Spectra
  • Test And Evaluation

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Computer Vision.