Least Squares Algorithms for Constant-Acceleration Target Tracking

Abstract

A unified treatment of several least squares (LS) algorithms is presented for bearing-only tracking of a target moving at constant acceleration. The close link between the maximum likelihood (ML) estimator and other nonlinear and "linearized" LS algorithms is explored under the assumption of Gaussian bearing noise. In this context, a new asymptotically unbiased closed-form instrumental variables (IV) algorithm is derived. Reduced-bias total least squares (TLS) and constrained TLS (CTLS) algorithms are developed. The equivalence of the ML algorithm to the structured TLS (STLS) algorithm is established. Simulation examples are provided to demonstrate the improved performance of the IV and TLS estimators vis-a-vis the pseudolinear estimator.

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Document Details

Document Type
Technical Report
Publication Date
Apr 14, 2005
Accession Number
ADA445247

Entities

People

  • Kutluyil Dogancay

Organizations

  • University of South Australia

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Australia
  • Digital Signal Processing
  • Engineering
  • Equations
  • Errors
  • Estimators
  • Gaussian Noise
  • Measurement
  • Military Applications
  • Moving Targets
  • Noise
  • Observers
  • Signal Processing
  • Simulations
  • Standards
  • Target Tracking

Fields of Study

  • Engineering

Readers

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