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Statistical characteristics of the durations of emission envelopes signals reflected from extended objects


V.M. Artyushenko – Dr. Sc. (Eng.), Professor, Head of Department, Financial and Technological Academy (Korolyov, Moscow region) E-mail: V.I. Volovach – Ph. D. (Eng.), Associate Professor, Head of Department, Volga Region State University of Service (Togliatti, RF) E-mail: V.V. Ivanov – Dr. Sc. (Eng.), Professor, Dean of Faculty, Volga Region State University of Service (Togliatti, RF) E-mail:

This article discusses the definition of the statistical characteristics of the durations of the emission envelope of the signals reflected from extended objects. Introduced notion of the duration of the emission envelope of the signals reflected from extended objects below a given threshold level, the statistical characteristics of which can be used to create radio devices of short range. It is noted that special place among the statistical probability of the emission characteristics of the envelope processed by the device short-range signal is the ratio of the failure envelope of the signal below a preset threshold level. The value of the coefficient of loss allows you to optimize the threshold processing, enabling to minimize the omission of extended objects associated with the sinking of the reflected signal. This expression allows us to determine the coefficient of loss depending on the parameters of the density of the probability distribution of the amplitude (PRA), and the magnitude of the threshold voltage. Were conducted and describes experimental studies of the envelope of the reflected signals and their emissions below various threshold levels, the results of their comparative analysis with the theoretical dependencies. In the experimental studies comprehensive data on statistical characteristics of the signals reflected from extended objects – vehicles – for different values of the threshold voltage relative to a single value, as well as various time settings. All data on the statistical characteristics of the signals described in the article based on averaging results from multiple implementations. The analysis of the results of statistical processing showed that the density of the probability distribution of the duration of the emission envelope below pre-defined thresholds have left asymmetry, with a decrease in their level of fashion shifted to the left and are well approximated by a lognormal law. Presented and analyzed dependence of the coefficient of loss, showing that the least variation and the lowest value of this ratio is for the middle part of the test section. The dependences of the ratio of the loss on the value of the threshold voltage for the laws Nakagami, Weibull and logarithmically normal law. Analysis of the obtained curves showed that they are close to a good match, only when the threshold processing, approaching the unit.


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