<title>Microlocal high-range-resolution ISAR for low signal-to-noise environments</title>

Abstract

We consider the problem of identification of airborne objects from high-range-resolution radar data. We use high-frequency asymptotics to show that certain features of the object correspond to identifiable features of the radar data. We study the cases of single scattering and scattering from re-entrant structures such as ducts.This work suggests a method for target identification that circumvents the need to create an intermediate radar image from which the object's characteristics are to be extracted. As such, this scheme may be applicable to efficient machine-based radar identification programs.

Microlocal analysis of GTD-based SAR models

“…To establish a connection between the Potter-Moses model and our microlocal approach, 7,8 we Fourier transform (5) (with x = y) into the time domain:…”

“…Such sharp discontinuities are examples of singularities; the theory of microlocal analysis 9, 12, 13, 23, 24 was developed precisely to study such singularities and how they are mapped by Fourier integral operators. In particular, microlocal analysis provides theorems that tell us the results of applying the method of stationary phase to oscillatory integrals such as (8).…”

“…In earlier work, 7,8 we calculated the singular structure of radar data arising from target structures undergoing single scattering, from point-like scattering centers undergoing multiple scattering, and from re-entrant structures such as ducts. In this paper, we show how our approach can be applied to the the earlier PotterMoses attributed scattering center model, 20 which is a model that is based on the Geometrical Theory of Diffraction (GTD).…”