Time-Domain Waveforms for Remote Materials Characterization

Abstract

This report presents an alternative derivation of the solution given in 1 in terms of the general problem of determining the impulse response of a linear, time-invariant system. The integral equation with chirp excitation and matched filter operator arc shown to lead to a Fourier integral representation of the Dirac delta function, which immediately yields the scaling relation shown in 1. Important practical ramifications of this approach, including the noise properties of the matched filter and the effects of finite- duration chirps are explored. The continuous time integral equation is then discretized in a straight forward manner, and a magic number is presented that allows for the exact recovery of an arbitrart impulse response.

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Document Details

Document Type
Technical Report
Publication Date
Nov 19, 2004
Accession Number
ADA430461

Entities

People

  • Douglas R. Denison

Organizations

  • Georgia Tech Research Corporation

Tags

Communities of Interest

  • Advanced Electronics
  • Air Platforms

DTIC Thesaurus Topics

  • Delta Functions
  • Dielectric Permittivity
  • Equations
  • Excitation
  • Filters
  • Frequency
  • Frequency Domain
  • Horn Antennas
  • Integral Equations
  • Integrals
  • Matched Filters
  • Materials
  • Plane Waves
  • Synthetic Aperture Radar
  • Time Domain
  • Waveforms
  • Waves

Readers

  • Approximation Theory.
  • Calculus or Mathematical Analysis
  • Radar Systems Engineering.