V.M. Artyushenko1, V.I. Volovach2

1 Technological University named after twice Hero of the Soviet Union Cosmonaut A.A. Leonov (Moscow, Russia)

2 Volga Region State University of Service (Tolyatti, Russia); Voronezh State University (Voronezh, Russia)

1 artuschenko@mail.ru; 2 volovach.vi@mail.ru

The effect of multiplicative noise on a signal with a constant pulse-modulated frequency and a bell-shaped envelope, on a signal with linear frequency modulation, and on a phase-shift signal with a rectangular envelope is analyzed. During the calculation, it was assumed that the spectrum of fluctuations in the noise modulation function has a bell-shaped shape. It was shown, that the effect of multiplicative noise on the delay resolution interval when using linearly frequency-modulated signals does not depend on the shape of the signal envelope and is determined only by the spectrum width of the noise modulation function. It was shown that the Woodward criterion cannot generally be used to estimate the resolution interval for the arrival time of phase-shift signals in the presence of multiplicative noise. Mathematical expressions are obtained that allow calculating the resolution intervals in time and frequency.

Artyushenko V.M., Volovach V.I. Examples of calculating the resolution of radio signal processing systems under the influence of multiplicative noise. Radiotekhnika. 2024. V. 88. № 10. P. 201-208. DOI: https://doi.org/10.18127/j00338486-202410-22 (In Russian)

1. Vudvord F.M. Teorija verojatnosti i teorija informacii s primeneniem v radiolokacii. M.: Sovetskoe radio. 1955. 128 s. (In Russian).
2. Artjushenko V.M., Volovach V.I. Opredelenie intervalov razreshenija po vremeni i chastote pri vozdejstvii mul'tiplikativnyh pomeh na osnove kriterija Vudvorta. Radiotehnika. 2024. T. 87. № 10. S. 192-200. DOI: https://doi.org/10.18127/j00338486-202410-21 (In Russian).
3. Bakulev P.A., Stepin V.M. Metody i ustrojstva selekcii dvizhushhihsja celej. M.: Radio i svjaz'. 1986. 288 s.
4. Artjushenko V.M., Volovach V.I. Ocenka intensivnosti dvizhenija protjazhennyh ob’ektov s pomoshh'ju obobshhennogo raspredelenija Vejbulla. Avtometrija. 2020. T. 56. № 3. S. 58–67 (In Russian).
5. Bakut P.A., Bol'shakov I.A., Gerasimov B.M. i dr. Voprosy statisticheskoj teorii radiolokacii. Pod red. G.P. Tartakovskogo. T. 1, 2. M.: Sovetskoe radio. 1963; 1964 (In Russian).
6. Shirman Ja.D., Golikov V.N., Busygin I.N. i dr. Teoreticheskie osnovy radiolokacii. Pod red. Ja.D. Shirmana. M.: Sovetskoe radio. 1970. 560 s. (In Russian).
7. Korostelev A.A., Kljuev N.F., Mel'nik Ju.A. i dr. Teoreticheskie osnovy radiolokacii. Pod red. V.E. Dulevicha. M.: Sovetskoe radio. 1978. 608 s. (In Russian).
8. Vasin V.V., Vlasov O.V., Grigorin-Rjabov V.V. i dr. Radiolokacionnye ustrojstva (teorija i principy postroenija). Pod red. V.V. Grigorina-Rjabova. M.: Sovetskoe radio. 1970. 680 s. (In Russian).
9. Voprosy statisticheskoj teorii radiolokacii. Pod red. G.P. Tartakovskogo. M.: Sovetskoe radio. 1983. 424 s. (In Russian).
10. Fal'kovich S.E. Priem radiolokacionnyh signalov na fone fljuktuacionnyh pomeh. M.: Sovetskoe radio. 1961. 311 s. (In Russian).
11. Kremer I.Ja., Vladimirov V.I., Karpuhin V.I. Modulirujushhie (mul'tiplikativnye) pomehi i priem radiosignalov. Pod red. I.Ja. Kremera. M.: Sovetskoe radio, 1972. 480 s. (In Russian).
12. Shirman Ja.D. Razreshenie i szhatie signalov. M.: Sovetskoe radio. 1974. 360 s. (In Russian).
13. Artjushenko V.M., Volovach V.I. Ocenka vlijanija mul'tiplikativnyh pomeh na pogreshnost' izmerenija parametrov dvizhenija protjazhennyh ob’ektov. Radiotehnika. 2017. № 2. S. 58–68 (In Russian).
14. Artjushenko V.M., Volovach V.I. Ocenka tochnosti izmerenija informacionnyh parametrov poleznogo signala v uslovijah odnovremennogo vozdejstvija mul'tiplikativnyh i additivnyh negaussovskih pomeh. Radiotehnika. 2017. № 10. S. 95-102 (In Russian).
15. Tihonov V.I. Optimal'nyj priem signalov. M.: Radio i svjaz'. 1983. 320 s. (In Russian).
16. Akimov P.S., Bakut P.A., Bogdanovich V.A. i dr. Teorija obnaruzhenija signalov. Pod red. P.A. Bakuta. M.: Radio i svjaz'. 1984. 440 s. (In Russian).
17. Artjushenko V.M., Volovach V.I. Statisticheskie harakteristiki signala pri nalichii modulirujushhej pomehi. Avtometrija. 2021. T. 57.
    № 2. S. 49-61 (In Russian).