Noise Adaptation and Correlated Maneuver Gating of an Extended Kalman Filter

Abstract

Extended Kalman filtering is used to provide estimates of the position and velocity of a target based upon observations of the target's bearing and range. Non-stationary noise is shown to degrade the performance of the filter and cause filter divergence. By estimating the noise power from the variance of the filter's residual we adapt the filter to compensate for varying noise power. This thesis also introduces the method of correlated maneuver gating to adapt the Kalman filter to target dynamics. By spatially and temporally correlating the Mahalanobis Distance of the residual, the Kalman filter's performance is increased while tracking tangentially accelerating targets. Monte Carlo simulations are run for three different sets of target dynamics: stationary, moving linearly, and accelerating tangentially. Results for the simulation show significant performance advantages of using correlated maneuver gating in conjunction with noise adaptation. These results should generalize to other applications of the extended Kalman filter whose state and observation spaces enjoy a one-to-one mapping.

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Document Details

Document Type
Technical Report
Publication Date
Mar 01, 1990
Accession Number
ADA221713

Entities

People

  • Stephen L. Spehn

Organizations

  • Naval Postgraduate School

Tags

Communities of Interest

  • C4I
  • Energy and Power Technologies
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computational Science
  • Computer Programs
  • Computers
  • Data Science
  • Differential Equations
  • Engineering
  • Filtration
  • Gaussian Noise
  • Information Science
  • Kalman Filtering
  • Kalman Filters
  • Linear Systems
  • Mathematical Filters
  • Monte Carlo Method
  • Random Variables
  • Statistical Algorithms

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Sensor Fusion and Tracking Systems.

Technology Areas

  • Space
  • Space - Space Objects