The X-Band SAR Demonstrator development

Zahn, R.; Braumann, H.; Schlott, M.

doi:10.1109/igarss.1997.609152

Cited by 2 publications

(2 citation statements)

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“…We see from (42) that singularities with direction ν in the scene are carried over to singularities in the image that are also in the direction ν. This is the pseudolocal property of B F. From (42) we see also that the resolution in direction ν is determined by the size of the ρ-interval for which a(z, z, ρ ν) is nonzero. Since for x = z, we have from ( 29)…”

Section: Directional Resolutionmentioning

confidence: 67%

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Synthetic aperture inversion

Nolan

Cheney²

2002

Inverse Problems

109

140

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This paper considers synthetic aperture radar and other synthetic aperture imaging systems in which a backscattered wave is measured from a variety of locations.The paper begins with a (linearized) mathematical model, based on the wave equation, that includes the effects of limited bandwidth and the antenna beam pattern. The model includes antennas with poor directionality, such as are needed in the problem of foliage-penetrating radar, and can also accommodate other effects such as antenna motion and steering. For this mathematical model, we use the tools of microlocal analysis to develop and analyse a three-dimensional imaging algorithm that applies to measurements made on a two-dimensional surface. The analysis shows that simple backprojection should result in an image of the singularities in the scattering region. This image can be improved by following the backprojection with a spatially variable filter that includes not only the antenna beam pattern and source waveform but also a certain geometrical scaling factor called the Beylkin determinant. Moreover, we show how to combine the backprojection and filtering in one step. The resulting algorithm places singularities in the correct locations, with the correct orientations and strengths.The algorithm is analysed to determine which information about the scattering region is reconstructed and to determine the resolution. We introduce a notion of directional resolution to treat the reconstruction of walls and other directional elements. We also determine the fineness with which the data must be sampled in order for the theoretical analysis to apply. Finally, we relate the present analysis to previous work and discuss briefly implications for the case of a single flight track.

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Section: Directional Resolutionmentioning

confidence: 67%

“…The waveform P(t) can be of almost any shape, but commonly a chirp of the form P(t) = rect(t) exp(iαt 2 ) is used. Examples of commonly used antennas include rectangular arrays [12,13,42], horns [32] and dipoles [32].…”

Section: A Model For the Field From An Antennamentioning

confidence: 99%