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Telecommunications and Radio Engineering
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Telecommunications and Radio Engineering

DOI: 10.1615/TelecomRadEng.v56.i6-7.60
13 pages

Theoretical Aspects of Radar Imaging Using the Bayes Nonparametric Estimation Strategy

Yuriy V. Shkvarko
Visiting professor in the FIMEE, University of Guanajuato, Mexico
Rene Jaime-Rivas
Head of FIMEE at the University of Guanajuato, 36730 Salamanca, Gto. Mexico
Victor Ayala-Ramirez
Universidad de Guanajuato FIMEE, Tampico 912, Colonia Bellavista, Salamanca, Guanajuato, 36730 MEXICO

ABSTRACT

In this work, we consider the theoretical aspects related to the problem of remote radar probing of the natural environment (in particular, Earth surfaces) with the purpose of electronic imaging. The problem is stated and treated as an inverse ill-posed problem of estimating the power scattering function (PSF) of the surface referred to as the radar image of the wavefield sources distributed in the environment. The randomized maximum entropy a priori model of the PSF is suggested and theoretically grounded. We derive the formula that is useful to interpret the information theoretical formalism of the randomized PSF. The Bayes non-parametrical estimation strategy is applied to form the radar images involving the maximum entropy a priori model of the PSF and projection-type constraints imposed on the desired solution. We also discuss the issues related to performance evaluation and computational implementation of the developed method.