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JOURNALS // Upravlenie Bol'shimi Sistemami // Archive

UBS, 2014 Issue 49, Pages 81–95 (Mi ubs761)

Mathematical Control Theory

Stochastic model of harmonic series

I. M. Rud'ko

Institute of Control Sciences of RAS

Abstract: We develop mathematical models for discrete components and harmonic series in an energy spectrum of rotating equipment and machinery noise emission. Using the theory of random functions we build a stochastic model of harmonic series, which is more realistic than existing heuristic models. The proposed stochastic model can be used in modeling and designing of detection devices narrowband signals, as well as in studying, modeling, and designing vibration damping devices.

Keywords: discrete components, harmonic series, spectral power density, the theory of random functions.

UDC: 531.3:681.883



© Steklov Math. Inst. of RAS, 2024