Abstract
We study the effect of information update delay on the minimum required beam width of the antenna for information exchange. For high-speed data information exchange, millimeter wave antennas are our choice of antenna and we deploy them along the highways to provide connectivity to the high-speed vehicles. We present a novel technique of predicting the trajectory of the vehicle for a short interval of time by approximation, which performs at par with the accurate calculations. The calculations also account for the Gaussian noise present in the GPS information which leads to an error in the predicted position. Considering the trade-off between the update delay and the directivity of the beam, we aim to obtain an optimum range of beamwidth by scaling and intersecting the directivity curve with update delay curve.