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Aerospace Instrument-Making

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SIMULATING TWO-DIMENSIONAL SIGNALS IN THE SPECTRAL REGION OF THE FOURIER BASIS
V.V. Syuzev, V.V. Gurenko, I.I. Deykin, B.I. Bychkov

The paper is devoted to harmonic algorithm for simulating two-dimensional signals with specified energy characteristics in the spectral region of the Fourier basis. The two-dimensional energy spectral density function (ESDF) is considered as the initial energy characteristic. Signal representation is executed within the framework of the classical correlation theory. An algorithm for simulating random signals in the Fourier basis based on the canonical decomposition of the spectrum of a two-dimensional signal is presented. The discrete spectrum is formed by discretizing a continuous ESDF with limited and unlimited intervals of determination. The random nature of the spectrum is achieved through multiplying the deterministic spectral coeffi cients by random variables of a special kind. The quality of the simulation process is assessed by calculating the errors of the theoretical, algorithmic and experimental autocorrelation functions on specifi c simulation parameters. The results of the work can be useful when developing specialized mathematical and software instruments for hardware-inthe-loop simulation of the components in real-time systems and complexes.
Keywords: hardware-in-the-loop simulation, signal simulation, two-dimensional signals, simulation algorithms, deterministic signal, random signal, Fourier basis, spectrum.


DOI: 10.25791/aviakosmos.12.2021.1257

Pp. 46-55.

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