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** Description:** The known methods of analysis range profile aerial targets for their recognition can be complemented by nonlinear time series analysis. One of the effective methods of detecting the dependence of time series values is the BDS-statistics. In the work proposed for the recognition of classes (types) of aerial targets application of the BDS test, which is a tool for identifying meas- ures of dependencies in the observed process. Range profile of the target or the reflected signal should be analyzed as a time series, which can be formalize using the following sequence of transformations: reflected signal or range profile of the target; dependence of values over time; range of values of BDS statistics; type of target. The dependence of the BDS statistics for range profiles (reflected signals) of cruise missiles (AGM-86C and Taurus KEPD 350) and artillery shells (“Grad” systems of caliber 122 mm and OF25 caliber 152 mm) is obtained depending on the angle of targets with vertical and horizontal polarization. The values of BDS statistics are proportional to the size and complexity of the shape of the target, which manifests itself in the struc- ture of the reflected signal under the condition of High-Resolution. A comparative analysis of the results of calculating the values of BDS statistics for range profiles and reflected signals of air targets is carried out. The values of BDS statistics with horizontal polarization strongly depend on the aspect angle of the target, which complicates the recognition, since the ranges of the values of BDS statistics overlap. It is shown that with vertical polarization, the calculated values of the BDS statistics for the reflected signals of each target correspond to a specific range, which makes it possible to recognize target types regardless of the aspect angle. The lateral aspect angle of the target 90 is special and ambiguous in some cases, but even under such conditions, it
is possible to recognize targets based on the calculation of BDS statistics. The results of the work can be used in the development of recognition algorithms for classes (types) of air targets in radar systems in which ultra wideband signals are used.

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Keywords:
** air target recognition, range profiles, reflected signal, BDS-statistics.

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