Compound-Gaussian Spatial-Temporal Correlated Complex Clutter Simulation Based on a Two-Step Data-Driven Method

Generation of random sea clutter amplitude sequence with quantitative control on distribution tail

“…Here, in order to control $$D_{\text{TE}}$$ to guarantee the distributions of these two sequences can be considered similar, the criterion in [13] is adopted, which gives the critical value of D TE as $$$$\begin{equation} D_{\text{TE}}^\prime = F_{X}^{-1}(1-0.55P_{\text{fa}}) -F_{X}^{-1}(1-P_{\text{fa}}) \end{equation}$$$$Consequently, we can declare the CCDFs of X and Y match well and the sequences $$\mathbf {x}$$ and $$\mathbf {y}$$ can be regarded to have about the same distribution if $$$$\begin{equation} D_{\text{TE}} - D_{\text{TE}}^\prime = F_{Y}^{-1}(1-P_{\text{fa}};\sigma ) - F_{X }^{-1}(1-0.55P_{\text{fa}}) \le 0 \end{equation}$$$$…”

“…Here, in order to control D TE to guarantee the distributions of these two sequences can be considered similar, the criterion in [13] is adopted, which gives the critical value of…”