S.G. Vorona1, T.V. Kalinin2, I.N. Shulga3, A.V. Zelenevsky4

1–3 A.F. Mozhaisky Military Space Academy (St. Petersburg, Russia)

4 JSC "STC KAMI Company" (Moscow, Russia)

1–3 vka@mil.ru, 4 dieselmail@inbox.ru

It is necessary to obtain analytically the dependence of the probability of erroneous detection of an excessive frequency-manipulated signal received against a background of narrow-band harmonic interference, to determine the optimal (according to V.A. Kotelnikov's criterion) threshold level of interference rejection, which made it possible to minimize the probability of error in detecting a useful signal (to increase the noise immunity of reception). The purpose of the article is to obtain an analytical dependence of the probability of erroneous detection of an excessive FMn signal received against a background of narrowband harmonic interference, to determine the optimal (according to V.A. Kotelnikov's criterion) threshold level of interference rejection and to minimize the probability of error in detecting a useful signal (to increase the noise immunity of reception). A problem has been solved in which the following expressions are derived: expressions for conditional probabilities of missing a signal and false alarm for m-excessive frequency-manipulated signals under the influence of Gaussian noise and narrow-band harmonic interference, the power of which exceeds the power of the useful signal; an expression for the probability of erroneous detection of a useful signal, which allows, according to a given signal-to-noise ratio, a selected criterion for making an optimal statistical decision, to minimize the probability of signal detection error against the background of narrow-band harmonic interference; a criterion for making an optimal statistical decision on the presence (or absence) of a useful signal has been determined. The obtained analytical expressions, unlike the known ones, allow: to estimate the probability of erroneous detection of excessive FM signals received against the background of powerful narrow-band harmonic interference; to establish the presence of an optimal threshold voltage level for interference reduction for various signal and interference parameters; determine the optimal value of signal redundancy, which ensures the lowest probability of erroneous detection of a useful signal (maximum noise immunity).

Vorona S.G., Kalinin T.V., Shulga I.N., Zelenevsky A.V. A statistical analysis of the energy detection excess frequency-manipulated signals in the presence of narrowband harmonic interference. Electromagnetic waves and electronic systems. 2026. V. 31. № 2. P. 66−77. DOI: https://doi.org/10.18127/j15604128-202602-08 (in Russian)

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