Detection of Sinusoids in White Noise using Adaptive Linear Prediction Filtering.

Abstract

This paper analyzes the detection performance of a data-adaptive detector based on an adaptive linear prediction (ALP) filter incorporating the Widrow-Hoff LMS algorithm. Receiver operating characteristic (ROC) curves are calculated for two distinct adaptive detector implementations for the case of a sinusoid of known frequency but unknown phase embedded in white Gaussian additive noise. Comparative performance curves for adaptive and nonadaptive detector implementations are presented for this classical detection problem. The dependence of detection performance on the frequency resolution and time constant of the adaptive filter is treated. The ROC curves of the adaptive detector are derived for the condition that the ALP filter output statistics are Gaussian and that the magnitude square output has chi-square density with two degrees of freedom. (Author)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA063400

Entities

People

  • J. R. Zeidler
  • M. Shensa
  • R. Medaugh
  • S. T. Alexander

Tags

Communities of Interest

  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Adaptive Filters
  • Algorithms
  • Detection
  • Detectors
  • Filters
  • Frequency
  • Narrowband
  • Noise
  • Pattern Recognition
  • Power Spectra
  • Probability
  • Probability Density Functions
  • Random Variables
  • Spectra
  • Spectrum Analyzers
  • Statistics
  • White Noise

Fields of Study

  • Engineering

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Phased Array Antenna Design.
  • Regression Analysis.

Technology Areas

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