Information Theoretic Criteria for Observation-to-Observation Association

Abstract

There are three types of data association problems. The first is the observation-to-track association (OTTA) problem, where given an observation with some known measurement statistics and a set of existing candidate (uncertain) resident space object (RSO) tracks the analyst seeks to associate each observation with a unique track (or none). The second association problem is where we have multiple tracks at different time instances and wish to determine whether any of the tracks belong to the same RSO. This is the track-to-track association (TTTA) problem. The final association problem is where we are given a set of observations at different time instances and wish to determine which of these observations were generated by the same RSO. This is the observation-to-observation association (OTOA) problem. The focus of our paper is the OTOA problem. In this paper, we tackle the OTOA problem by using an appropriate initial orbit determination (IOD) method as well as criteria from information theory. The two main criteria we use in this paper are mutual information and information divergence. We demonstrate how these two criteria can be used within an unscented transform framework as well as with a particle-based approach. The information theoretic solutions described in this paper can be adjusted to address the other (OTTA and TTTA) association problems, which will be the focus of future research. We will demonstrate the main result in simulation.

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Document Details

Document Type
Technical Report
Publication Date
Sep 01, 2014
Accession Number
ADA616791

Entities

People

  • Christopher W. Roscoe
  • Islam I. Hussein
  • Matthew P. Wilkins
  • Paul W. Schumacher Jr.

Organizations

  • Air Force Research Laboratory

Tags

Communities of Interest

  • Materials and Manufacturing Processes
  • Sensors

DTIC Thesaurus Topics

  • Algorithms
  • Artificial Satellites
  • Data Association
  • Data Science
  • Graphics Processing Unit
  • Information Science
  • Kalman Filters
  • Mathematics
  • Measurement
  • Monte Carlo Method
  • Multiple Hypothesis Tracking
  • Orbital Elements
  • Particles
  • Probability
  • Space Objects
  • Space Surveillance
  • Statistics

Fields of Study

  • Mathematics

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Sensor Fusion and Tracking Systems.
  • Space Exploration and Orbital Mechanics.

Technology Areas

  • Space
  • Space - Space Objects