Joint Beam-Forming, User Clustering and Power Allocation for MIMO-NOMA Systems

. 2022 Feb 2;22(3):1129. doi: 10.3390/s22031129

Algorithm 3 PSO-based Optimal User Clustering

1:
Initialize group size G.
2:
Initialize the total number of iterations D.
3:
for g = 1:G do
4:
Initialize position $θ_{g}$ for particle g.
5:
$e_{b e s t, g} = w (θ_{g})$ .
6:
$p_{b e s t, g} = θ_{g}$ .
7:
end for
8:
$\bar{g} \leftarrow$ the position of the maximum in ${e_{b e s t, g}, \forall g}$ .
9:
$G_{b e s t} = p_{b e s t, \bar{g}}$ .
10:
t = 1.
11:
while $t \leq D$ do
12:
for g = 1:G do
13:
$θ_{g} = 0.5 (p_{b e s t, g} + G_{b e s t}) + δ (p_{b e s t, g} - G_{b e s t})$ .
14:
$e_{g} = w (θ_{g})$ .
15:
if $e_{g} > e_{b e s t, g}$ then
16:
$p_{b e s t, g} = θ_{g}$ .
17:
$e_{b e s t, g} = e_{g}$ .
18:
end if
19:
end for
20:
$\bar{g} \leftarrow$ the position of the maximum in ${e_{b e s t, g}, \forall g}$ .
21:
$G_{b e s t} = p_{b e s t, \bar{g}}$ .
22:
t = t + 1.
23:
end while
24:
$θ = G_{b e s t}$ .
25:
Perform user clustereing with the obtained $θ$ based on Algorithm 2.