## 4 Array Processing
### SLL Reduction Applied to ULA and NULA
\begin{table}
\begin{tabular}{c c c c c c} \hline
**Pointing Angle** & **Array** & **BW** & **SLL (dB)** & **GLL (dB)** & **D (dBi)** \\ \hline \multirow{4}{*}{\(-30^{\circ}\)} & ULA (\(d=210\) mm) & \(22^{\circ}\) & 15.42 & x & 12.61 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(19^{\circ}\) & 15.37 & 14.29 & 13.10 \\ \cline{2-6}  & NULA & \(20^{\circ}\) & 15.39 & x & 12.87 \\ \hline \multirow{4}{*}{\(-15^{\circ}\)} & ULA (\(d=210\) mm) & \(21^{\circ}\) & 18.18 & x & 12.58 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(17^{\circ}\) & 17.49 & x & 13.56 \\ \cline{2-6}  & NULA & \(19^{\circ}\) & 17.9 & x & 12.97 \\ \hline \multirow{4}{*}{\(0^{\circ}\)} & ULA (\(d=210\) mm) & \(20^{\circ}\) & 21.41 & x & 12.60 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(16^{\circ}\) & 19.95 & x & 13.60 \\ \cline{2-6}  & NULA & \(18^{\circ}\) & 20.69 & x & 13.03 \\ \hline \multirow{4}{*}{\(15^{\circ}\)} & ULA (\(d=210\) mm) & \(21^{\circ}\) & 18.36 & x & 12.61 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(17^{\circ}\) & 17.63 & x & 13.58 \\ \cline{2-6}  & NULA & \(19^{\circ}\) & 18.06 & x & 13 \\ \hline \multirow{4}{*}{\(30^{\circ}\)} & ULA (\(d=210\) mm) & \(22^{\circ}\) & 15.61 & x & 12.62 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(19^{\circ}\) & 15.23 & 13.98 & 13.09 \\ \cline{2-6}  & NULA & \(20^{\circ}\) & 15.57 & x & 12.87 \\ \hline \end{tabular}
\end{table} 
Table 6: Main characteristics of the azimuth plane radiation patterns generated with the SLL control weighting vector of the ULAs with inter-element spacings of 210 mm and 270 mm and the NULA designed in Section 3.2, for \(N=5\) commercial antennas. The considered steering angles are \(\phi=[-30,-15,0,15,30]^{\circ}\). \begin{table}
\begin{tabular}{c c c c c c} \hline
**Pointing Angle** & **Array** & **BW** & **SLL (dB)** & **GLL (dB)** & **D (dBi)** \\ \hline \multirow{4}{*}{\(-30^{\circ}\)} & ULA (\(d=210\) mm) & \(12^{\circ}\) & 19.48 & x & 15.49 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(9^{\circ}\) & 19.72 & 11.24 & 16.23 \\ \cline{2-6}  & NULA & \(11^{\circ}\) & 19.52 & x & 15.66 \\ \hline \multirow{4}{*}{\(-15^{\circ}\)} & ULA (\(d=210\) mm) & \(11^{\circ}\) & 21.03 & x & 15.51 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(8^{\circ}\) & 20.92 & x & 16.58 \\ \cline{2-6}  & NULA & \(10^{\circ}\) & 23.52 & x & 15.76 \\ \hline \multirow{4}{*}{\(0^{\circ}\)} & ULA (\(d=210\) mm) & \(10^{\circ}\) & 22.61 & x & 15.57 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(8^{\circ}\) & 22.21 & x & 16.64 \\ \cline{2-6}  & NULA & \(10^{\circ}\) & 29.08 & x & 15.82 \\ \hline \multirow{4}{*}{\(15^{\circ}\)} & ULA (\(d=210\) mm) & \(11^{\circ}\) & 21.12 & x & 15.53 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(8^{\circ}\) & 20.99 & x & 16.60 \\ \cline{2-6}  & NULA & \(10^{\circ}\) & 23.22 & x & 15.78 \\ \hline \multirow{4}{*}{\(30^{\circ}\)} & ULA (\(d=210\) mm) & \(12^{\circ}\) & 19.61 & x & 15.49 \\ \cline{2-6}  & ULA (\(d=270\) mm) & \(9^{\circ}\) & 19.82 & 12.01 & 16.21 \\ \cline{2-6}  & NULA & \(11^{\circ}\) & 19.65 & x & 15.65 \\ \hline \end{tabular}
\end{table} 
Table 7: Main characteristics of the azimuth plane radiation patterns generated with the SLL control weighting vector of the ULAs with inter-element spacings of 210 mm and 270 mm and the NULA designed in Section 3.2, for \(N=11\) commercial antennas. The considered steering angles are \(\phi=[-30,-15,0,15,30]^{\circ}\).