“…The received signal-to-interference-plus-noise ratio (SINR) for the n th user in case of a multi-user scenario can be written as [ 40 , 50 , 51 ]: where G ( θ n , ϕ n ) represents the HAPS array’s gain toward the n th user located at ( θ n , ϕ n ); δ represents the ratio between the transmitted power ( P t ) and the noise power ( σ 0 ); h n ϵ 1× M ( n = 1,2,.., K ) corresponds to the channel propagation between the n th user and the HAPS antenna array; and w n ϵ M ×1 consists of the precoding vector that, in general, depends on the selected beamforming method. It is worth noting that, differently from Reference [ 37 ], the simulated matching efficiency ( η Γ ) was included in (9) in order to achieve a more accurate SINR estimate.…”