DETECTABILITY OF RECURRENCE PHENOMENA,

Abstract

The report investigates the detectability of a broad class of signals that occur in active sonar, passive sonar, and active radar. The signals investigated are detectable at low signal-to-noise ratio because they are composed of repeating waveforms. The purpose of the report is to further the theory of signal detectability for underwater acoustics by determining the detection performance for optimum receivers for various signals and signal-to-noise conditions. The work deals with a mathematical model of the signals and the noise. It is not an analysis directed at any existing detection system. For practical situations which are approximately those of the models the work yields an approximate upper bound on the detection performance that can be achieved. The specific cases of recurrent-transient signals in white Gaussian noise considered are: (1) M orthogonal waveforms, periodic recurrence, (2) M orthogonal waveforms, synchronous-Poisson recurrence, and (3) sporadic recurrent waveforms of known waveshape. These cases are important in passive sonar because they describe situations which have a wide range of waveform uncertainty as well as recurrence-time uncertainty. (Author)

Document Details

Document Type
Technical Report
Publication Date
May 01, 1967
Accession Number
AD0652383

Entities

People

  • David Jaarsma
  • Loren W. Nolte

Organizations

  • University of Michigan

Tags

DTIC Thesaurus Topics

  • Acoustics
  • Active Sonar
  • Detection
  • Gaussian Noise
  • Mathematical Models
  • Models
  • Noise
  • Passive Sonar
  • Sonar
  • Underwater Acoustics
  • Waveforms

Fields of Study

  • Engineering

Readers

  • Acoustical Oceanography.
  • Radar Systems Engineering.