#1: You have been given an antenna to be installed in the IST. The given antenna is a linear (horizontal) array of eight elements and is capable of switching its beam in different directions. The antenna feed looks like a Butler matrix (shown in the following figure). Assuming that the frequency of operation is 3 GHz and distance between consecutive antenna elements is 0.72. Evaluate the direction of beam pointing if the antenna is fed at 1L, 2R, 4L, 3R. Consider phase progress to be positive Array Elements (n=8) Butler Matrix Output Ports (n=8) Fixed Phase Shifters 45 45 -4-Port Hybrid Couplers 67.5% 22.5 22.5 67.5 IL 4R 3L 2R 2L 3R 4L 4 IR Butler Matrix Input Ports.. (n=8)