A Review of Signal Detection Using the Bispectrum with Applications in Underwater Acoustics

Abstract

This paper reviews attempts at signal detection in Gaussian noise using a higher order statistical (Higher Order Spectra (HOS) or polyspectra) technique. Examples comparing power spectral and bispectral analysis include the following topics: the identification of signals generated by a system of coupled nonlinear differential equations, radar backscatter processing and target identification, and a statistical treatment of the detection of narrowband harmonic components resulting in a Receiver Operating Characteristic (ROC) curve. The critical signal and noise probability density function (pdf) assumptions from polyspectra theory which must be met for more effective noise suppression relative to classical second order power spectral methods are: (1) discussed in relation to detection results as reported in the literature review; and, (2) illustrated via examples using both direct and indirect nonparametric Discrete Fourier Transform (DFT) bispectrums employing Fast Fourier Transforms (FFT) for both simulated and real data. The signal set consisted of pure tones and a hop code used in active sonar. Signal detection, Bispectrum, Underwater acoustics, Gaussian noise, Higher order spectra, Polyspectra.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1994
Accession Number
ADA275227

Entities

People

  • G. L. Morella

Organizations

  • Pennsylvania State University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Acoustic Phenomena
  • Acoustics
  • Algorithms
  • Computations
  • Data Science
  • Detection
  • Differential Equations
  • Frequency Domain
  • Information Science
  • Nonlinear Differential Equations
  • Order Statistics
  • Random Variables
  • Scattering
  • Signal Detection
  • Signal Processing
  • Underwater Acoustics
  • Warning Systems

Fields of Study

  • Engineering

Readers

  • Acoustical Oceanography.
  • Approximation Theory.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms