Linear Time Invariant System Identification Using a Result of the Bussgang Theorem.

Abstract

This investigation applied the Bussgang theorem to the cross-correlation method of linear, time invariant (LTI) system identification. In this procedure a Gaussian signal is passed through an LTI system and the output is cross-correlated with a non linearly distorted version of the original Gaussian signal. If the Gaussian noise were white the cross-correlation would be equal to the impulse response of the LTI system within a constant of proportionality. With the use of bandlimited gaussian noise this relationship is only approximately satisified. The analysis compared the performance of the cross-correlation method with the nonlinearity to that of the cross-correlation method without the nonlinearity. The experimental results indicate that the introduction of the nonlinearity degrades the performance of the method, but this can be improved by correcting for the effects of several quantities associated with the time varying statistics of the Gaussian noise.

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Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1986
Accession Number
ADA178642

Entities

People

  • Timothy H. Lewis

Organizations

  • Air Force Institute of Technology

Tags

Communities of Interest

  • Ground and Sea Platforms
  • Materials and Manufacturing Processes

DTIC Thesaurus Topics

  • Air Force
  • Computational Science
  • Computer Programs
  • Computers
  • Correlation Techniques
  • Cross Correlation
  • Data Analysis
  • Data Science
  • Electrical Engineering
  • Gaussian Noise
  • Generators
  • Identification
  • Identification Systems
  • Information Science
  • Noise
  • Operating Systems
  • Random Variables

Fields of Study

  • Engineering

Readers

  • Applied Combinatorial Optimization and Logic Circuit Design.
  • Approximation Theory.
  • Sensor Fusion and Tracking Systems.