DETERMINATION OF PROBABILITIES OF DETECTION OF OBJECTS MOVING AT CONSTANT AND VARYING CONDITIONS OF DETECTION

Владимир Михайлович Артюшенко, Владимир Иванович Воловач

Аннотация


In the article we consider detection probabilities of moving extended objects under various conditions of detection and in changing range. We justified the problem of obtaining analytical expressions for estimating the probability of object detection based on the statistical distribution range of detection devices. It is shown that to solve the above mentioned problem one should establish mathematical laws that define the actual distribution range of the detection device. It is related to the issue of determining and estimating the cumulative probability of object detection. It is shown that the process of object detection should be considered as a random process carried out usually in relatively homogeneous «typical» conditions. In this case, range distribution is subject to a certain distribution law. It is shown that some uncertainty is inherent to object detection and the random nature of detection range is typical for it. The main factors influencing the object detection are established. We introduced and found accumulating momentary and expectable probabilities of object detection by short-range wireless devices for different conditions of detection. It is shown that the object detection can be performed through continuous scan of an area and through a momentary scan. Each of these statistical characteristics is mathematically defined. We studied the use of intensity of target detection on the range to estimate the efficiency of detection devices. It is shown that the detection devices can be classified according to the efficiency of object detection and according to the distance to the object. The efficiency of the detection process can be estimated by accumulating probabilities of object detection. The expressions are given, that connect the momentary probabilities and the intensity of detection through object speed or scanning interval of a detection device. We obtained expressions to estimate the expectable probability of detection of a moving object in both constant and varying conditions of detection. It is shown that according to certain laws of distribution range of detection devices, estimating the expected probability of establishing the instrument contact means determining the cumulative probability of detection based on momentary probability function. The characteristics of these laws and the nature of object motion are taken into consideration when calculating this function. Using this function to quantify the efficiency of detection devices is determined by the possibility of statistical estimating the distributions of detection ranging for all kinds of typical detection conditions in actual practice.

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