Information Theoretic Studies and Assessment of Space Object Identification

Abstract

This document represents the final report on the various scientific activities and accomplishments relating to Grant No. FA9550-09-1-0495 over its period of performance, June 1, 2009 - November 30, 2013. Among the most important technical accomplishments of the project are: * A new relation between two seemingly different metrics of information - mutual information (MI) and estimation theoretic Fisher information (FI) in the high-SNR limit, for arbitrary input and channel probability distributions; * New numerically efficient, tight upper and lower bounds on successfully transmitted statistical information, namely MI, in the estimation of one or more features of a target based on image data; * Improved approaches for an exact numerical, Monte-Carlo-sampling based computation of MI and comparison with our tight upper bounds * Bayesian approaches to the problem of optimal selection of regularizer and its strength based on data themselves; * A full Bayesian error analyses of the prospects of 3D localization and superresolution of unresolved sources beyond the diffraction limit

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Document Details

Document Type
Technical Report
Publication Date
Mar 24, 2014
Accession Number
ADA605919

Entities

People

  • Sudhakar Prasad

Organizations

  • University of New Mexico

Tags

Communities of Interest

  • Air Platforms
  • Sensors
  • Space

DTIC Thesaurus Topics

  • Air Force Research Laboratories
  • Angular Momentum
  • Bayesian Inference
  • Computational Science
  • Confidence Limits
  • Data Science
  • Diffraction
  • Estimators
  • Fresnel Zones
  • Identification
  • Information Science
  • Optical Detection
  • Probability
  • Probability Distributions
  • Random Variables
  • Space Objects
  • Three Dimensional

Readers

  • Radar Systems Engineering.
  • Regression Analysis.
  • Statistical inference.

Technology Areas

  • AI & ML
  • AI & ML - Bayesian Inference
  • AI & ML - Machine Learning Algorithms
  • Space
  • Space - Space Objects