Abstract. This paper addresses the problem of calculating a unified detection probability field for a group of stationary observers monitoring a given area and operating in active mode. Stationary observers are located on a plane equipped with the Cartesian coordinate system, and their coordinates are known. For an object with given coordinates, a unified detection probability field is calculated for all stationary observers in the area. As shown, the greatest complexity arises for the objects necessitating the consideration of the terrain relief. For such objects, it is required to calculate a multilayer map with the altitude of the object’s movement, in contrast to a single-layer (flat) detection probability map, which is sufficient for detecting objects without taking the terrain relief into account. Examples are provided to demonstrate that the probability of object detection depends on the location and altitude of the observers, the altitude of the object’s movement, and the terrain relief. With a unified detection probability field calculated for a given area in the form of a multilayer map, it is much easier to optimize the location of observers (on the one hand) and control moving objects in a conflict environment (on the other).
Keywords: probability of object detection, detection probability field for an object, trajectory of an object, terrain relief.