# Arithmetic Mean (AM) Algorithm

The simplest algorithm searches for the two angles $\vartheta$ and $\phi$ the gain ${G}_{tilt}$ in the vertical ( $\vartheta$ ) and the gain ${G}_{rot}$ in the horizontal ( $\phi$ ) plane.

The arithmetic mean of ${G}_{rot}$ (horizontal pattern) and ${G}_{tilt}$ (vertical pattern) represents the actual gain $G\left(\vartheta ,\phi \right)$ .

(1) $G\left(\vartheta ,\phi \right)=\frac{{G}_{rot}\left(\phi \right)+{G}_{tilt}\left(\vartheta \right)}{2}$

Patterns generated by this algorithm are not very accurate. Therefore, this algorithm is not recommended (it is only implemented for comparison with other tools).