Hilbert transform for multicomponent periodically non-stationary random signals

Authors

DOI:

https://doi.org/10.15407/dopovidi2022.01.020

Keywords:

periodically non-stationary random signal, Hilbert transform, analytic signal, quadratures

Abstract

The properties of the Hilbert transform for periodically non-stationary random signal (PNRS), which are presented in the form of superposition of the amplitude and phase modulated harmonics with multiple fre quen cies are considered. It is shown that PNRS and its Hilbert transform are jointly PNRS and the expressions for the coefficients of Fourier series for their auto- and cross-covariation functions and spectral densities are obtained. The analytic signal properties are analyzed. It is shown that correlations of the quadratures for the different components of the narrow-band PNRS cause the periodical non-stationarity of the analytic signal. The auto- and cross-covariance functions of the quadratures for each periodically non-stationary monocomponent are established.

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Published

30.03.2022

How to Cite

Javorskyj, I., Yuzefovych, R., & Lychak, O. (2022). Hilbert transform for multicomponent periodically non-stationary random signals. Reports of the National Academy of Sciences of Ukraine, (1), 20–33. https://doi.org/10.15407/dopovidi2022.01.020

Issue

Section

Information Science and Cybernetics