ISSN 0474-8662. Information Extraction and Processing. 2020. Issue 48 (124)
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Model of multicomponent narrow-band periodical non-stationary random signal

Javorskyj I. M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Telecommunication Institute of University of Technology and Life Science, Bydgoszcz, Poland
Yuzefovych R. M.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Lviv Polytechnic National University
Kurapov P.R.
Karpenko Physico-Mechanical Institute of the NAS of Ukraine, Lviv
Lviv Polytechnic National University

https://doi.org/10.15407/vidbir2020.48.017

Keywords: polycomponent narrow-band periodically non-stationary random signal, Hilbert transform, analytic signal

Cite as: Javorskyj I.M., Yuzefovych R.M., Kurapov P.R. Model of multicomponent narrow-band periodical non-stationary random signal. Information Extraction and Processing. 2020, 48(124), 17-24. DOI:https://doi.org/10.15407/vidbir2020.48.017


Abstract

The correlation and spectral properties of a multicomponent narrowband periodical non-stationary random signal (PNRS) and its Hilbert transformation are considered. It is shown that multicompoČnent narrowband PNRS differ from the monocomponent signal. This difference is caused by corČrelation of the quadratures for the different carrier harmonics. Such features of the analytic signal must be taken into account when we use the Hilbert transform for the analysis of real time series.


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