Tomographic Mathematical Ideas Applied to Radar Detection

Abstract

The researchers undertook an examination of many of the mathematical issues that are well understood in the case of the medical application of these tomographic ideas (i.e. x-ray scanners) but have not yet been explored in the arena of radar imaging. Among the issues concentrated on were: (1) an understanding of the way in which data might be collected in radar, (2) the proper interpretation of these data as projections of a two dimensional distribution in range-Doppler space, (3) a careful study of the effect that 'ellipsoidal integrals' or even simpler 'strip integrals' will have on an algorithm that is supposed to work with 'line integrals', (4) a study of the effect that an increase of 'lateral sampling per one dimensional projection' will have on the final reconstructions. This issue is well understood in the medical application and it serves to determine the number of detectors to be used, but has to be reexamined and reinterpreted in the radar context, (5) a study of the competing methods to obtain range-Doppler images. These include Synthetic Aperture Radar, and are based on the relative mention of the object vis-a-vis the radar.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Oct 31, 1992
Accession Number
ADA268789

Entities

People

  • F. A. Grunbaum

Organizations

  • University of California, Berkeley

Tags

DTIC Thesaurus Topics

  • Abstracts
  • Algorithms
  • Applied Mathematics
  • Detection
  • Detectors
  • Geometry
  • Integrals
  • Magnetic Resonance
  • Magnetic Resonance Imaging
  • Mathematics
  • Radar
  • Radar Imaging
  • Sampling
  • Synthetic Aperture Radar
  • Two Dimensional
  • X Rays

Readers

  • Calculus or Mathematical Analysis
  • Medical Imaging.
  • Theoretical Analysis.

Technology Areas

  • Space
  • Space - Space Objects