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Article Dans Une Revue IEEE Transactions on Geoscience and Remote Sensing Année : 2023

Statistics of the Stokes parameters for multilook signals scattered by layered structures with slightly rough random interfaces

Saddek Afifi
Richard Dusséaux

Résumé

The polarization state of waves scattered from multi-layered structures with randomly rough boundaries is given by the Stokes vector and its four components. Polarimetric radars use multilook processing to reduce statistical fluctuations by spatially averaging the scattered signals. In this paper, we obtain and express in closed-form the probability density function, the cumulative density function, the expected value and the variance for each Stokes parameter in the multilook case. The slightly rough boundaries are realizations of second-order stationary centered Gaussian bi-dimensional spatial random processes and the layered structure is illuminated by a monochromatic plane wave. The zenithal and azimuthal components of the far scattered electric field are obtained from the first-order small perturbation method. The theory leads to a multivariate Gaussian model. Finally, we obtain a universal function for the probability distribution for the last three Stokes parameters. Numerical simulations are performed and coincide with the theoretical derivations. For a ground snow system represented by three interfaces air / snow cover / frozen soil / unfrozen soil, we obtain the marginal probabilities and compare the theoretical results with Monte-Carlo simulations. We show that the marginal probability distributions for multilook data are very different from those for single-look returns. Some features of coherent phenomena are observed since multilook processing reduced statistical fluctuations.
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Dates et versions

insu-04251734 , version 1 (20-10-2023)

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Saddek Afifi, Richard Dusséaux. Statistics of the Stokes parameters for multilook signals scattered by layered structures with slightly rough random interfaces. IEEE Transactions on Geoscience and Remote Sensing, 2023, 61, pp.2005310. ⟨10.1109/TGRS.2023.3325409⟩. ⟨insu-04251734⟩
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