Analysis of SAR Image Formation Equations for Stationary and Moving Targets

Abstract

This report presents a detailed mathematical analysis of backprojection and 'omega-k' (range migration) image formation equations for synthetic aperture radar (SAR). The image processor transfer function is computed for both stationary and moving targets, including antenna and target pattern effects. Assuming straight-line platform motion, it is demonstrated that both image formation algorithms provide exact focusing of stationary targets. Moving targets are displaced to false locations and blurred into elliptic or hyperbolic curves. Algorithms are suggested which will exactly refocus moving targets in SAR images based on only one unknown motion parameter. All results are derived without narrow-band, narrow-angle, or narrow-swath assumptions.

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Document Details

Document Type
Technical Report
Publication Date
Jun 20, 2002
Accession Number
ADA403447

Entities

People

  • A. F. Yegulalp

Organizations

  • Massachusetts Institute of Technology

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algorithms
  • Computations
  • Equations
  • Frequency
  • Frequency Domain
  • Geometry
  • Images
  • Mathematical Analysis
  • Moving Targets
  • Platforms
  • Radar
  • Scattering
  • Stationary
  • Synthetic Aperture Radar
  • Target Signatures
  • Targets
  • Transfer Functions

Fields of Study

  • Engineering

Readers

  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Image Processing and Computer Vision.
  • Radar Systems Engineering.