NUMERICAL INTEGRATION OF BAND-LIMITED SIGNALS - WITH APPLICATIONS TO COMPUTER IMPLEMENTED SIGNAL PROCESSING

Abstract

In many computer-implemented signal-processing systems, it is necessary to perform numerical integrations. If the function to be integrated is a band-limited time signal represented by a set of samples, serious distortion can occur if the wrong integration technique is used. In particular, if the integration is used to calculate a Fourier transform, large error side- lobes will be introduced if Simpson's rule or other higher-order rules are used. It is shown that the rectangular rule introduces no distortion and gives a result which is consistent with the number of samples.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0664569

Entities

People

  • John T. Lynch

Organizations

  • MITRE Corporation

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Classification
  • Computers
  • Contracts
  • Corporations
  • Digital Computers
  • Engineering
  • Frequency
  • Massachusetts
  • Numerical Analysis
  • Numerical Integration
  • Radar
  • Security
  • Signal Processing
  • Time Signals
  • United States
  • Weighting Functions

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Radar Systems Engineering.