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Waveform design for synthetic-aperture radar imaging through dispersive media
Varslot, T.; Morales Barcenas, J.H.; Cheney, M. (2011). Waveform design for synthetic-aperture radar imaging through dispersive media. SIAM J. Appl. Math. 71(5): 1780-1800. https://dx.doi.org/10.1137/100802438
In: SIAM Journal on Applied Mathematics. Society for Industrial and Applied Mathematics (SIAM): Philadelphia, Pa.. ISSN 0036-1399; e-ISSN 1095-712X
Peer reviewed article  
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  • Varslot, T.
  • Morales Barcenas, J.H.
  • Cheney, M.
Abstract
    In this paper we analyze the problem of optimal waveform design for synthetic-aperture radar (SAR) imaging through a dispersive medium. We use a scalar model for wave propagation, together with the single-scattering approximation, and we assume that measurements are polluted with thermal noise whose statistics are known. For image formation, we use a filtered backprojection algorithm in which the filter is determined by knowledge of the power-spectral densities of the scene and noise. In this framework, we derive a waveform which is optimal in the sense of minimizing the mean-square-error of the reconstructed image. We show the results of simulations for the example of imaging point scatterers embedded in a certain dispersive background. We show that for low signal-to-noise ratios, the optimal waveform resembles what is known as a precursor: a wave that is generated from propagating ultrawideband waveforms through the medium.
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