V.V. Evseev1

1 MESC AF “Air force Academy named after Professor N.E. Zhukovsky and Y.A. Gagarin» (Voronezh, Russia)

1 nfquf1995@mail.ru

The current level of technical development is constantly leading to an increase in the number of simultaneously functioning radio equipment in limited areas, which inevitably leads to an aggravation of the conditions of electronic conflict. The operation of any radio engineering system is characterized by a complex signal-interference environment. Therefore, an important task is to ensure the noise immunity of radio engineering systems, which means their ability to function with a certain quality in the face of interference, both natural and artificial. Currently, it is advisable to talk about a complex of interference operating in radio channels. The interference complex should be understood as the sum of interference effects that vary in electrical structure and origin. The issues of noise immunity are closely related to the methods and algorithms of signal processing in radio receivers. The development of such methods and algorithms is based on the probabilistic representation of signals and interference in radio channels. At the same time, the variety of existing probabilistic models leads to a priori uncertainty about the statistical representation of interference operating in a radio channel under specific conditions. There are also no probabilistic models that provide a statistical description of the interference complex. In this regard, there is a need for a simple generalized probabilistic model that provides a statistical representation of the amount of interference of various types.

In the course of the work, an analysis of existing probabilistic models of the radio envelope in the class of one-sided one-dimensional distributions was carried out from the perspective of their potential possibilities for the statistical representation of the envelope of signals and interference in radio channels, which made it possible to determine the probability density, which has generalizing properties with respect to the known laws of the distribution of the radio envelope. Using the apparatus of characteristic functions, the probability density of the envelope of the total additive interference in the radio channel is obtained as a result of the interaction of spectrum-concentrated, pulse and noise components. The possibility of its approximation by a simple probabilistic model for practical use is shown. The procedure for identifying the composition of interference effects in radio channels using selected logarithmic and power-law moments of the envelope values is determined.

The proposed generalized probabilistic model of the envelope of radio signals in the form of a one-dimensional probability density allows for the statistical representation of radio channels under the simultaneous action of signals and interference that differ in structure and statistical representation. Such a probabilistic model can be used to assess the noise immunity of radio channels operating in a complex signal-to-noise environment, as well as in the synthesis of signal processing algorithms under the action of a sum of interference, different in structure and origin.

Evseev V.V. Generalized probabilistic model of the envelope of the interference in radio channels. Radiotekhnika. 2026. V. 90. № 4. P. 148−157. DOI: https://doi.org/10.18127/j00338486-202604-17 (In Russian)

1. Sheluhin O.I. Negaussovskie processy v radiotehnike. M.: Radio i svjaz'. 1999. 310 s. (in Russian).
2. Koldanov A.P. Postroenie ustojchivyh algoritmov raspoznavanija pomeh. Radiotehnika. 2001. № 9. S. 17-20 (in Russian).
3. Tihonov V.I. Statisticheskaja radiotehnika. M.: Radio i svjaz'. 1982. 624 s. (in Russian).
4. Borisov V.I., Zinchuk V.M., Limarev A.E., Muhin N.P., Nahmanson G.S. Pomehozashhishhennost' sistem radiosvjazi s ras-shireniem spektra signalov moduljaciej nesushhej psevdosluchajnoj posledovatel'nost'ju. Pod red. V.I. Borisova. M.: Radio i svjaz'. 2003. 640 s. (in Russian).
5. Radiojelektronnye sistemy: Osnovy postroenija i teorija. Spravochnik. Pod red. Ja.D. Shirmana. M.: Radiotehnika. 2007. 512 s. (in Russian).
6. Valeev V.G. Nelinejnaja obrabotka signala. Monografija. M.: Radiotehnika. 2013. 172 s. (in Russian).
7. Klovskij D.D. Peredacha diskretnyh soobshhenij po radiokanalam. M.: Radio i svjaz'. 1982. 304 s. (in Russian).
8. Golovin O.V., Prostov S.P. Sistemy i ustrojstva korotkovolnovoj radiosvjazi. Pod red. O.V. Golovina. M.: Gorjachaja linija – Telekom. 2006. 598 s. (in Russian).
9. Prudnikov A.P., Brychkov Ju.A., Marichev O.I. Integraly i rjady. Jelementarnye funkcii. M.: Nauka. 1984. 800 s. (in Russian).
10. Karpov I.G., Evseev V.V. Verojatnostnoe opisanie amplitudy signalov v sistemah mobil'noj svjazi. Radiotehnika. 2008. № 5. S. 31-33 (in Russian).
11. Karpov I.G., Karpov M.G., Proskurin D.K. Metody obobshhennogo verojatnostnogo opisanija i identifikacii sluchaj-nyh velichin i processov. Monografija. Voronezh: IPC Voronezhskogo gos. un-ta. 2010. 172 s. (in Russian).
12. Tjun'kin A.B., Parmuzina M.S. Approksimacija s pomoshh'ju srednekvadraticheskogo priblizhenija. Vestnik nauki. 2024. T. 3. № 1(70). S. 1062-1073. Jelektronnyj resurs: https://www.vestnik-nauki.com/article/12582 (data obrashhenija: 29.09.2025) (in Russian).
13. Evseev V.V., Popov G.A. Verojatnostnaja model' informacionnogo potoka cifrovyh setej svjazi. Nauchno-tehnicheskij zhurnal «Teorija i tehnika radiosvjazi №2». Voronezh: Sozvezdie Rossii. 2022. S. 27-31 (in Russian).