Algorithm 1: KA-MSLIM-STAP Method.
Input: Output:	Steering Vector Dictionary Matrix D Data $x_l$ Space-Time Adaptive Weight Vector $w$
Step 1	Initialize values of parameters as: $y_{n,l}{}^{(0)}=d_n^H{x}_l/{\Vert d_n^{}\Vert }^2$ ${\eta }^{(0)}=\frac{1}{NM}{\Vert x_l-D{y}_l{}^{(0)}\Vert }^2$
Step 2	Repeat the following for $t=0,1,2,\cdots$ ${\upsilon }^{(t+1)}=\frac{K-1}{{\displaystyle \sum _{n=1}^K\left|y_{n,l}{}^{\left(t\right)}\right|}}$ $P^{\left(t+1\right)}=diag\left(2\left|y_{n,l}{}^{\left(t\right)}\right|/{\upsilon }^{\left(t+1\right)}\right),n=1,2,\cdots ,K$ $y_l{}^{(t+1)}\text{= }{P}^{(t+1)}{D}^H{\left[D{P}^{(t+1)}{D}^H+{\eta }^{(t)}I\right]}^{-1}{x}_l$ ${\eta }^{(t+1)}=\frac{1}{NM}{\Vert x_l-D{y}_l{}^{(t+1)}\Vert }^2$ Until convergence
Step 3	Calculate CNCM $R={\displaystyle \sum _{n=1}^K\left({\Vert y_{n,l}\Vert }^2\right)d_n{d}_n^{\mathrm{H}}}+\eta I$
Step 4	Compute KA-MSLIM-STAP weight $w$