On Correlation Signal Detection with Particular Reference to an Application in Sonar.

Abstract

Correlation detectors operate by exploiting the similarity between two waveforms, one of which is the signal to be detected and the other of which is a reference waveform. In practice the similarity occurs because both waveforms will have been derived from the same source. As a measure of the similarity between two signals a 'similarity function' is introduced which is defined in terms of the Fourier transforms of the signals rather than the signals themselves. An indication is given of the limited validity of this function as a measure of similarity when the signals are of finite duration. An application of the similarity function is discussed in which a linear FM sonar echo is bandpass-filtered prior to being correlated with a replica of the transmitted signal. An analytical solution for the similarity function in terms of the Q-factor of the filter is derived from which it can be seen that the filter has little effect on the detection capability of the system provided that the Q of the filter is less than the Q-factor of the linear FM pulse.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1977
Accession Number
ADA047022

Entities

People

  • M. J. Buckingham

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustic Signals
  • Bandwidth
  • Cross Correlation
  • Detection
  • Detectors
  • Differential Equations
  • Equations
  • Filters
  • Frequency
  • Frequency Bands
  • Linear Differential Equations
  • Power Spectra
  • Q Factor
  • Signal Detection
  • Sonar Echoes
  • Spectra
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Phased Array Antenna Design.
  • Radar Systems Engineering.