Trigonometric Smoothing and Interpolation of Sampled Complex Functions, Via the FFT

Abstract

In a recent memorandum the use of the Fast Fourier Transform for trigonometric interpolation of sampled complex functions was presented. Here we consider trigonometric smoothing of samples of a complex function, followed by interpolation of this smoothed function. Such a technique is useful for smoothing random data, for example. As a by-product, a short-cut for finding stationary points of a real function of complex variables is presented in the Appendix.

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Document Details

Document Type
Technical Report
Publication Date
Apr 19, 1971
Accession Number
ADA955994

Entities

People

  • Albert H. Huttall

Organizations

  • Naval Underwater Systems Center

Tags

DTIC Thesaurus Topics

  • Coefficients
  • Complex Variables
  • Detection
  • Equations
  • Fast Fourier Transforms
  • Frequency
  • Interpolation
  • Rhode Island
  • Sequences
  • Stationary
  • Target Detection
  • Waveforms

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.