Algorithm A2 LMS for beamforming.

1:procedureLMS($\mathit{i}\left[0\right]$, $\mathsf{\Psi }$, $\mathit{d}$, ${\eta }_l$, $\mathbf{\rho }$, Q, U) 2:   for $u\leftarrow 1,U$ do 3:   $\mathit{i}\left[u\right]\leftarrow \mathit{i}[u-1]$ 4:   for $q\leftarrow 1,Q$ do 5:     ${\mathit{i}}^{\mathbf{2}}\left[u\right]\leftarrow {[i_1{\left[u\right]}^2{i}_2{\left[u\right]}^2\cdots i_P{\left[u\right]}^2]}^T$ 6:     ${\mathit{i}}^{\mathbf{3}}\left[u\right]\leftarrow {[i_1{\left[u\right]}^3{i}_2{\left[u\right]}^3\cdots i_P{\left[u\right]}^3]}^T$ 7:     $g_q\left[u\right]\leftarrow {\mathbf{\psi }}_q^T({\rho }_1\mathit{i}\left[u\right]+{\rho }_2{\mathit{i}}^{\mathbf{2}}\left[u\right]+{\rho }_3{\mathit{i}}^{\mathbf{3}}\left[u\right])$ 8:     ${ϵ}_q\left[u\right]\leftarrow d_q-g_q\left[u\right]$ 9:     $\mathit{i}\left[u\right]\leftarrow \mathit{i}\left[u\right]+{\eta }_l{ϵ}_q\left[u\right]{\mathbf{\psi }}_q^{*}$ 10:   end for 11:  end for 12:  return $\mathit{i}\left[U\right]$ 13: end procedure