Exact Solutions for the Time Constants of an Adaptive Array in Bandlimited Noise.

Abstract

A technique is presented that yields closed form solutions for the noise analysis of the Applebaum adaptive algorithm. Past researchers have derived results under the assumption that the input noise is stationary and rapidly varying with respect to the output weighting vector of the Applebaum algorithm. In this report, this work has been extended to include noise that is not stationary and can vary at any rate. External noise sources are modelled as continuous state jump Markov processes which results in exact first moment equations for the weighting vector that are solvable. Specifically, the case where the adaptive algorithm is subjected to a single external noise source is examined in detail. Results in adaptive processing convergence times are presented.

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Document Details

Document Type
Technical Report
Publication Date
Dec 24, 1981
Accession Number
ADA109580

Entities

People

  • Karl R. Gerlach

Organizations

  • United States Naval Research Laboratory

Tags

Communities of Interest

  • Energy and Power Technologies
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Adaptive Filters
  • Algorithms
  • Amplitude Modulation
  • Control Systems
  • Differential Equations
  • Distribution Functions
  • Equations
  • Fokker Planck Equations
  • Frequency
  • Markov Processes
  • Modulation
  • Partial Differential Equations
  • Power Spectra
  • Probability
  • Probability Distributions
  • Random Variables
  • Stochastic Processes

Fields of Study

  • Engineering

Readers

  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation
  • Image Processing and Computer Vision.