ISSN 0474-8662. Information Extraction and Processing. 2023. Issue 51 (127)
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Advantages of periodic non-stationary random process model in vibration signal processing

Javorskyj I. M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Bydgoszcz University of Sciences and Technology, Bydgoszcz, Poland
Yuzefovych R. M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Lviv Polytechnic National University
Lychak O. V.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Komarnytskyi B. R.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv

https://doi.org/10.15407/vidbir2023.51.023

Keywords: periodically non-stationary random processes, high-frequency modulations, analytic signal, squared envelope, kurtosis, vibration.

Cite as: Javorskyj I. M., Yuzefovych R. M., Lychak O. V., Komarnytskyi B. R. Advantages of periodic non-stationary random process model in vibration signal processing. Information Extraction and Processing. 2023, 51(127), 23-31. DOI:https://doi.org/10.15407/vidbir2023.51.023


Abstract

The use of two different techniques for the analysis of vibration signals, whose carrier harmo¬nics are modulated by high-frequency narrow-band random processes is discussed. Periodically non-stationary random processes (PNRP) are suitable models for description of vibration signals of damaged mechanism. A proposed processing technique can be considered as an alternative to squared envelope analysis, kurtosis techniques, squared envelope spectrum (SES) and its use in the analysis of a vibration signal is discussed. It is shown that the spectral estimates obtained by the envelope square method are biased and inconsistent. The possibility of obtaining of the unbiased estimates by the PNVP method even for a signal/noise ratio equal to 0.07 has been demonstrated.


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