A Double-Sum Technique for Performing a Fourier Transformation on an Integrand Composed of Aliased Factors.

Abstract

Structural acoustics often utilizes Fourier transformation to either reveal a phenomenon that is more directly recognized in one domain than in its Fourier conjugate domain or to employ complementarity in order to decipher a phenomenon. In this paper, a novel computational technique is introduced. This technique advantageously performs this transformation in situations in which specific spatial scales govern aliased factors in the integrand of a Fourier transformation. The technique can factorially save computational steps over corresponding computations that employ discrete Fourier transform procedures.

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Document Details

Document Type
Technical Report
Publication Date
May 31, 1996
Accession Number
ADA316123

Entities

People

  • G. Maidanik
  • K. J. Becker

Organizations

  • Naval Surface Warfare Center

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Availability
  • Classification
  • Convergence
  • Discrete Fourier Transforms
  • Equations
  • Fast Fourier Transforms
  • Fourier Transformation
  • Integral Transforms
  • Integrals
  • Linear Systems
  • Mathematical Analysis
  • Mathematics
  • Sampling
  • Security
  • Surface Warfare
  • Transformations (Mathematics)

Readers

  • Calculus or Mathematical Analysis
  • Computational Fluid Dynamics (CFD)
  • Radar Systems Engineering.