Abstract
In this study, the authors present an effective and flexible statistical model, called Burr Type-XII distribution (BXIID), for empirical modelling of synthetic aperture radar (SAR) clutter amplitude. Also, an estimator based on method of log-cumulants (MoLC) is proposed for the parameters of BXIID. Cramer–Rao bounds of the BXIID parameters are computed to measure the effectiveness of the proposed estimator. They then derive the analytical conditions for applicability of MoLC to BXIID. Furthermore, it is shown here that the BXIID covers a larger space in the k 3 ~ ∼ k 2 ~ (third-order second-kind cumulant versus second-order second-kind cumulant) diagram than the one occupied with classical distributions and is flexible to model the SAR clutter with a variety of scenes. The BXII model is validated through single-look real SAR clutter data and multilook synthetic clutter data. Experimental results demonstrate that the BXIID achieves better goodness-of-fit than the state-of-the-art probability density functions and that clearly illustrates the validity and applicability of the model.
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