Table 1.

Main parameters and statistics discussed in this paper.

Definition	Notion
A and I = A2	amplitude and intensity
I̅	mean intensity of a sample A1, … AN
$U=\overline{logI}-log\overline{I}$	U-statistics
$X=\overline{\mathit{I}logI}/\overline{I}-\overline{logI}$	X-statistics
Homodyned K-distribution with parameters ε ≥ 0, σ2 > 0 and α > 0
α	scatterer clustering parameter
ε2	coherent signal power
2σ2α	diffuse signal power
μ = ε2 + 2σ2α	total signal power (mean intensity)
κ = ε2/(2σ2α)	structure parameter
γ = ε2/(2σ2) = κα	algorithmic parameter
$k=\sqrt{2\kappa }=\epsilon /(\sigma \sqrt{\alpha })$	ratio of the coherent to diffuse signal
Rice distribution with parameters ε ≥ 0 and ${\sigma }_{\text{R}}^2>0$
$\mu ={\epsilon }^2+2{\sigma }_{\text{R}}^2$	mean intensity
$\kappa ={\epsilon }^2/(2{\sigma }_{\text{R}}^2)$	structure parameter
$k=\sqrt{2\kappa }=\epsilon /{\sigma }_{\text{R}}$	ratio of the coherent to diffuse signal