Consider a uniform linear array of N antennas as shown in Figure 2. The antenna separation is d as shown, and all antennas transmit signals in phase, at a wavelength of . Consider a receiver at an angle to a receiver very far away from the array. Since the receiver is far, we can assume that lines joining the antennas to the receiver are parallel to each other, making an angle _ above the horizontal line. Find all angles null where the sum of arriving signals from all antennas add up to 0, creating a perfect null.

1 2 3 N-1 N Nantennas