In this paper, two Hough Detectors, decentralized and centralized, with the polar Hough transform (PHT) that operate in the presence of randomly arriving impulse interference (RAII) are proposed and studied. The usage of the Hough transform (HT) in systems for air traffic control enables to detect more effectively the target trajectory in the presence of RAII. The study of the signal processing employed in detectors is carried out using Monte-Carlo simulations in MATLAB computing environment. The results obtained show that the detection probability of the multi-sensor centralized Hough detector is higher than that of the decentralized detector.