Title
Low-Cost Robust Estimation for the Single-Look <inline-formula> <tex-math notation="LaTeX">$\mathcal{G}_{I}^{0}$ </tex-math></inline-formula> Model Using the Pareto Distribution
Abstract
The statistical properties of Synthetic Aperture Radar (SAR) image texture reveal useful target characteristics. It is well-known that these images are affected by speckle and prone to extreme values due to double bounce and corner reflectors. The G <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">I</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sup> distribution is flexible enough to model different degrees of texture in speckled data. It is indexed by three parameters: α, related to the texture, γ, a scale parameter, and L, the number of looks. Quality estimation of α is essential due to its immediate interpretability. In this letter, we exploit the connection between the G <sub xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">I</sub> <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">0</sup> and Pareto distributions. With this, we obtain six estimators that have not been previously used in the SAR literature. We compare their behavior with others in the noisiest case for monopolarized intensity data, namely single look case. We evaluate them using Monte Carlo methods for noncontaminated and contaminated data, considering convergence rate, bias, mean squared error, and computational time. We conclude that two of these estimators based on the Pareto law are the safest choices when dealing with actual data and small samples, as is the case of despeckling techniques and segmentation, to name just two applications. We verify the results with an actual SAR image.
Year
DOI
Venue
2020
10.1109/LGRS.2019.2956635
IEEE Geoscience and Remote Sensing Letters
Keywords
DocType
Volume
Gᵢ₀ distribution,speckle,parameter estimation
Journal
17
Issue
ISSN
Citations 
11
1545-598X
1
PageRank 
References 
Authors
0.35
0
4
Name
Order
Citations
PageRank
Débora Chan110.35
Andrea Rey211.37
Juliana Gambini3415.57
Alejandro C. Frery436838.29