Non-Model Based Estimation with Applications to Sensor Calibration Using Multiple Sensors.

Abstract

A non-model based estimation procedure is introduced. The best estimate is defined to be the geometric center of the intersected error volume, and the error of the best estimate is defined as the distance of the intersected error volume measured from the center. Khachian's algorithm is extended to find the best estimate. When the algorithm is viewed as a system of nonlinear difference equations, conditions are established to test the existence of periodic solutions. A stopping rule is also introduced. A strategy for finding the error of the best estimate is described. Examples are given to illustrate the estimation procedure. Keywords include: Non-model based estimation, Center and distance of polyhedron, Position estimate, Polyhedron, Prismatoid, Khachian's algorithm, and Calibration.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1985
Accession Number
ADA154736

Entities

People

  • T. S. Lee

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Sensors

DTIC Thesaurus Topics

  • Accuracy
  • Algorithms
  • Calibration
  • Computer Programming
  • Coordinate Systems
  • Detectors
  • Ellipsoids
  • Equations
  • Errors
  • Estimators
  • Geometry
  • Inequalities
  • Kwajalein Atoll
  • Optical Detectors
  • Radar
  • Reliability
  • Simulations

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Graph Algorithms and Convex Optimization.
  • Operations Research