V.M. Artemiev1, S.M. Kostromitsky2, A.O. Naumov3

1,3 Institute of Applied Physics of National Academy of Sciences of Belarus (Minsk, Republic of Belarus)

2 Radio Engineering Center of National Academy of Sciences of Belarus (Minsk, Republic of Belarus)

A set of moving targets forming a flow is considered. Measurement of coordinates is carried out by radar in the mode of periodic scanning of the area where the flow is located. Target signals from the output of the receiver are sent to a threshold device called the primary detector. It is assumed that the signal-to-noise ratio is small, as a result the detection threshold is chosen low in order to provide sufficient values for the probabilities of correct detection. In this case, the detection output contains a large number of points of false alarms, indistinguishable from the target points. For selecting target points, this output must be processed using the trajectories features during several scanning periods. As a feature, the property of correlation of the trajectories of target points is used in comparison with the statistical independence in time and space of the position of false alarm points.

The purpose of the work is to find the probabilities of true detection of target trajectories in the flow. At each scanning period relative to each point at the output of the primary detector a detection strobe is formed in reverse time, lasting several periods. The events of hitting one or more points into the strobe are fixed at each period by the appearance of a binary signal at the output of the strobe. To solve the problem of target trajectory detection, the criterion «m of n» is used when m≤n signals appear at the strobe output during n scanning periods (strobe size). The presence of points of false alarms leads to the appearance of false alarms. There are two options for detection of trajectories. The first is called open-loop detection, when the measurements of the coordinates of all points at the output of the primary detector are used. The second is called closed-loop detection, when only the coordinates of the points already detected in the previous scan steps are used. In this paper, only the first variant of detection is considered.

Two variants of the target flow are considered: a sparse flow, when the target trajectories are located at distances greater than the strobe width, and the influence of neighboring targets and false alarms can be neglected, and a dense flow, in which points of neighboring targets and false alarms can appear in the detection strobe. The probabilities of detecting target trajectories and false alarms in sparse and dense flows are found and compared with the probabilities of primary threshold detection.

Artemiev V.M., Kostromitsky S.M., Naumov A.O. Probability of detection of trajectories in a moving targets flow using the method of strobing in reverse time. Electromagnetic waves and electronic systems. 2023. V. 28. № 2. P. 5−14. DOI: https://doi.org/10.18127/j15604128-202302-01 (in Russian)

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