Signals, Waves and Transport

Abstract

We carry out theoretical and numerical studies of resolution limits for imaging and beam-forming (time reversal) with an active array when the ambient medium is noisy. We analyze in detail some new problems that emerge in the asymptotics of stochastic differential equations, which play an essential role in the formulation of imaging methods. We also analyze the phenomenon of super-resolution in time reversal, where the random medium improves the resolution beyond the diffraction limit, and contrast this with image degradation. Applications range from foliage and ground penetrating radar to secure wireless communications in noisy environments.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 2001
Accession Number
ADA395137

Entities

People

  • George C. Papanicolaou

Organizations

  • Stanford University

Tags

DTIC Thesaurus Topics

  • Beam Forming
  • Classification
  • Differential Equations
  • Diffraction
  • Environment
  • Equations
  • Ground Penetrating Radar
  • Mathematical Analysis
  • Mathematics
  • Real Variables
  • Security
  • Time Domain
  • Universities
  • Wireless Communications

Readers

  • Acoustical Oceanography.
  • Computer Vision.
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