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Detection of extended objects in conditions of a priori uncertainty about the parameters of movement on the background of non-Gaussian noise

Keywords:

V.I. Volovach – Ph. D. (Eng.), Associate Professor, Head of Department, Volga Region State University of Service (Togliatti, RF) E-mail: volovach.vi@mail.ru


The article considers the problem of detecting extended objects in conditions of prior uncertainty about the parameters of motion of these objects, as well as taking into account the fact that the density of the probability distribution are non-Gaussian. Finding these dependencies allows, in particular, to determine such probabilistic characteristics of the systems and detection devices as accumulating of the detection probability and the statistical distribution range of the object detection. The structural scheme and the algorithm of dual-radio devices detect short-range turnstile type with coherent receivers. The analysis of the characteristics of detection of two-channel radio detection devices taking into account the actual probability density of the envelope (amplitude) in the assumption that at the receiver’s input is additive noise taking place. It is shown that random amplitude reflected from a detected object signal is tied to the length of the object. Defined reliable detection fixation of extended object in the assumption that reflected from the object signal and clutter describes by distribution of Nakagami. Given the «engeneer» expression for the density determination of the probability distribution of the envelope (amplitude) for large relations «signal/noise». The expression for determining the probability of missing an object extended to the General case and for the case of the object model with a dominant brilliant point. The resulting expression to determine the probability of a false alarm of a channel processing of the reflected signal. Obtained graphic dependences of false alarm probability of a channel processing the reflected signal from the type of noise reflections. Estimated loss in the reliability of object detection for the case when the information on the speed of the detected object is missing. The three common states of reflected from the object signal: determined signal, signal with a random initial phase, the signal with fluctuation of amplitude and phase. For each of these signals is defined probability of accurate detection of the object. Sown an expression, used for comparing the characteristics of the signals detection with fluctuated and non-fluctuated amplitude. On the basis of the received expressions of accurate detection probability of the object for indicated cases, was entered coefficients of increasing of detection probability, allowing to evaluate the loss in accuracy detection. A comparison of the dependences of the coefficients from the «signal/noise» allows to conclude that the loss in accuracy detection of objects due to the a priori uncertainty about the parameters of the reflected signals can be significant. Reducing such losses can be achieved by optimization and adaptation of radiotechnical detection devices.
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