Nonstationary Higher Order Spectral Analysis

Abstract

This report discusses the detection performance of a variety of higher order spectra for a variety of signals. Of particular significance is the introduction of a new type of higher order spectra called nonstationary higher order spectra. Nonstationary higher order spectra are not the stationary higher order spectral representations of nonstationary process, but are in fact different spectra which contain the stationary higher order spectra as a subset of their domain. It is shown quantitatively through theoretical predictions and simulations that these type of spectra perform better at detecting nonstationary signals than do the traditional stationary spectra. For the first time, small sample statistics have been derived and applied to the detection performance rather than asymptotic statistics, resulting in a more accurate performance prediction for typical sample sizes for nonstationary signals.

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Document Details

Document Type
Technical Report
Publication Date
Apr 23, 1991
Accession Number
ADA246580

Entities

People

  • Gary R. Wilson
  • Keith R. Hardwicke

Organizations

  • University of Texas at Austin

Tags

Communities of Interest

  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Bessel Functions
  • Detection
  • Detectors
  • False Alarms
  • Frequency
  • Gaussian Noise
  • Information Science
  • Naval Warfare
  • Power Spectra
  • Probability
  • Random Variables
  • Spectra
  • Stationary
  • Stationary Processes
  • Statistics
  • Stochastic Processes
  • Warning Systems

Fields of Study

  • Engineering

Readers

  • Approximation Theory.
  • Computational Modeling and Simulation