G.N. Maltsev1, V.S. Konishchev2

1.2 Mozhaisky Military Space Academy (Saint Petersburg, Russia)

1,2 vka@mil.ru

Problem statement. The development of methods and means of electronic warfare leads to the need to analyze and ensure the noise immunity of radio engineering systems for various purposes under the expected conditions of various types of intentional interference – both broadband and narrow-band. Standard methods for analyzing the noise immunity of radio engineering systems correspond to the description of existing broadband interference in the form of uncorrelated white Gaussian noise and do not take into account the features of signal reception in conditions of narrow-band interference operating within the signal frequency band and being correlated. This is typical, in particular, for radio engineering systems with spread spectrum signals. When analyzing the noise immunity of modern radio engineering systems with digital signal processing, it is necessary to consider the processing of sequences of samples of received signals and interference, taking into account their correlation properties. Their unified description is necessary for a comparative analysis of the effect of various types of interference on signal reception and for choosing the type of discrete orthogonal transformations that are most preferable for decorrelating existing narrow-band interference in digital signal processing.

Goal. To present a unified approach to the approximation of sequences of samples of narrow-band interference acting in a part of the signal frequency band by a discrete Markov random process of the first order for analyzing the correlation properties of narrow-band interference and calculating the noise immunity indicators of radio engineering systems with signals with spectrum expansion in conditions of narrow-band interference.

Results. A formalized description of the correlation properties of three types of narrow – band interference – barrage interference in part of the signal's frequency band, harmonic interference at a fixed frequency, and frequency-sliding interference-is presented in the form of correlation matrices of sample sequences. The approximation of sequences of samples of narrow-band interference by a discrete Markov random process of the first order is considered, and the optimal values of its correlation parameter for approximating the considered types of narrow-band interference are determined using the quadratic criterion of proximity of autocorrelation functions. The relationship of the found optimal values of the correlation parameter with the parameters of narrow – band interference and the signal with spectrum expansion-the overlap coefficient of the signal and interference spectra, the signal base, and the symbol duration of the modulating pseudorandom sequence is established.

Practical significance. The presented results can be used in solving applied problems of analyzing and ensuring noise immunity of radio engineering systems with spectrum extension signals operating in conditions of narrow-band interference.

Maltsev G.N., Konishchev V.S. Approximation of sequences of narrow-band interference samples by a discrete Markov random process of the first order. Radiotekhnika. 2026. V. 90. № 5. P. 84−95. DOI: https://doi.org/10.18127/j00338486-202605-11 (In Russian)

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