L.I. Dvoiris, V.A. Ivanov, I.N. Kryukov

Statement of the problem. When creating detection tools, it is necessary to identify the law of distribution of amplitudes and phases of signals. Traditionally, the normal distribution law is used in the detection criteria, but in practice it is established that a significant part of the signals does not obey the normal distribution law. In the case of an erroneous identification of the distribution law, the flow of errors of the 1st and 2nd kind increases. A hypothesis is put forward about the possibility of using a three-parameter family of distributions, which includes more than 10 different distributions, which will simplify the identification procedure.

Goal. Testing the possibility of using a family of exponential distributions in the development and implementation of detection criteria in practice.

Results. The hypothesis about the possibility of using an exponential family of distributions in the detection criteria when creating detection and recognition tools is confirmed.

Practical significance. For developers of detection tools, the process of identifying the law of distribution of amplitudes and phases of signals is significantly simplified, and an algorithm for selecting optimal detection thresholds for the Baiesa, Neumann−Pearson and ideal observer criteria is presented.

Dvoiris L.I., V.A. Ivanov, Kryukov I.N. Implementation of criteria for detecting and distinguishing signals in the MathCAD environment. Radiotekhnika. 2021. V. 85. № 2. P. 44−49. DOI: 10.18127/j00338486-202102-07 (In  Russian).

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