Document Type: Original Article
International Laboratory of Statistics of Stochastic Processes and Quantitative Finance, National Research Tomsk State University, Tomsk, Russia
Department of Higher Mathematics and System Analysis, Faculty of Electrical Engineering, Maikop State Technological University, Maikop, Russia
Department of Electronics and Nanoelectronics, Faculty of Electrical Engineering, National Research University “MPEI”, Moscow, Russia
Department of Mechatronics and Electronics, Faculty of Electrical Engineering and Information Technology, University of Zilina, Slovak Republic
Department of Scientific Production Center “Design Engineering Bureau of Radio Engineering Devices and Systems”, Faculty of Radio Engineering, National Research University “MPEI”, Moscow, Russia
The main purpose of this paper is to develop the method of characteristic functions for calculating the detection characteristics in the case of the object surrounded by rough surfaces. This method is to be implemented in synthetic aperture radar (SAR) systems using optimal resolution algorithms. By applying the specified technique, the expressions have been obtained for the false alarm and correct detection probabilities. In order to illustrate the effective application of the introduced approach in the case of the generic SAR system, the results are presented of the calculation of the detection characteristics of the signal from the extended object surrounded by a rough surface. It is shown that the analysis allows us to substantiate the structure of the SAR signal processing channel and to obtain the improved relations for the radio observation characteristics in this case. The efficiency of the optimal signal processing in SAR systems can also be determined without the approximate calculations involved.