Evaluation of Attenuation/Minimum-Phase Pairs by Means of Two Fast Fourier Transforms

Abstract

A numerically efficient method of obtaining the minimum-phase characteristic corresponding to a measured attenuation (or decibel gain) response of a linear network, by means of two fast Fourier transforms, is presented and programmed in BASIC. A method of extrapolating the measured attenuation to very small and large frequencies, as required by the theoretical transformations, is suggested. The attendant logarithmic singularities in the attenuation are subtracted and handled separately, leaving a residual that is well behaved for numerical Fourier transformation.

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Document Details

Document Type
Technical Report
Publication Date
Jan 31, 1980
Accession Number
ADA541510

Entities

People

  • Albert H. Nuttall

Organizations

  • Naval Underwater Systems Center

Tags

Communities of Interest

  • Air Platforms
  • Weapons Technologies

DTIC Thesaurus Topics

  • Air Force
  • Attenuation
  • Engineering
  • Fast Fourier Transforms
  • Fourier Transformation
  • Frequency
  • Frequency Domain
  • Gain
  • Integrals
  • Measurement
  • Military Research
  • Observatories
  • Phase Shift
  • Plastic Explosives
  • Research Facilities
  • Residuals
  • Step Functions

Readers

  • Approximation Theory.
  • Electromagnetic Wave Scattering and Antenna Radiation Engineering