An Information-Theoretic Method for the Inversion of the Lidar Equation

Abstract

A new solution is presented for the reconstruction of profiles of aerosol volume extinction coefficients from the noisy backscattered returns of a monostatic single wavelength lidar system. This inverse problem is solved by utilizing an information-theoretic method based on the principle of minimum cross-entropy (MCE), which represents an objective and rational approach for the effective incorporation, into the inversion procedure, of both prior information in the form of an initial estimate of the extinction coefficient and additional information in the form of the observed data. A simple and robust numerical procedure, based on the ellipsoid algorithm, is developed to compute the MCE reconstruction of the extinction function. A number of numerical examples, base don noisy synthetic lidar data, are employed to demonstrate and evaluate the utility and efficacy of the inversion method. Canada.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1988
Accession Number
ADA198357

Entities

People

  • Eugene C. Lee

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Backscattering
  • Computational Science
  • Computer Programming
  • Convex Programming
  • Data Sets
  • Equations
  • Gaussian Noise
  • Information Theory
  • Inverse Problems
  • Measurement
  • Nonlinear Programming
  • Optical Properties
  • Physics Laboratories
  • Probability Distributions
  • Random Variables
  • Simulations

Readers

  • Adaptive Control and Estimation with Uncertainty in Dynamic Systems.
  • Radar Systems Engineering.
  • Statistical inference.