An Approximate Fast Fourier Transform Technique for Vernier Spectral Analysis

Abstract

An approximate and quick fast Fourier transform technique for vernier spectral analysis is derived and tested for several candidate time-and delay- weightings, and for overlaps of the time weightings. For 50 percent overlap, the use of a simple cosine lobe for the time weighting yields spurious spectral sidelobes at least 23 dB below the main peak, whereas Dolph-Chebyshev time weighting achieves -33 dB sidelobes. For 75 percent overlap, use of a (cosine) (sup 5) lobe for the time weighting yields sibelobes at least 54 dB down, whereas Dolph-Chebyshev time weighting achieves -86 dB sidelobes. In both cases of overlap, use of delay weighting is also required and is taken as a Hanning weighting. Extensions to other overlaps and weightings are possible from the fundamental relations presented and from the sample program furnished.

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Document Details

Document Type
Technical Report
Publication Date
Aug 16, 1974
Accession Number
AD0785850

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Classification
  • Computer Programs
  • Convolution
  • Equations
  • Excitation
  • Fast Fourier Transforms
  • Fourier Transformation
  • Frequency
  • Frequency Domain
  • Integrals
  • Narrowband
  • Sampling
  • Sequences
  • Sidelobes
  • Spectra
  • Standards
  • Time Domain

Readers

  • Approximation Theory.
  • Phased Array Antenna Design.