SPECTRUM FILTERING BY MEANS OF NUMERICAL TRANSFORM THEOREM

Abstract

A new type of digital filtering is explained without using the convolution theorem used in electrical engineering. The scheme makes use of the Numerical Transform Theorem which transforms a pair of finite spectra (i.e., amplitude and phase spectra) in the frequency domain into a finite time series. This time series, which may be filtered during transformation, has precisely the same record length as the 'original' time series without introducing meaningless transients. The spectrum filtering technique, in contrast to the convolution filtering technique, has an additional advantage that it does not require a separate digital filter. Some examples are given.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1966
Accession Number
AD0480401

Entities

People

  • Y. T. Huang

Organizations

  • Geotech Instruments (United States)

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Coefficients
  • Comb Filters
  • Conduction (Heat Transfer)
  • Convolution
  • Digital Data
  • Digital Filters
  • Electrical Engineering
  • Engineering
  • Equations
  • Filters
  • Filtration
  • Frequency
  • Frequency Domain
  • High Pass Filters
  • Low Pass Filters
  • Spectra

Fields of Study

  • Engineering

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Image Processing and Computer Vision.
  • Theoretical Analysis.