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Application of Discrete Hilbert Transform to Estimate the Characteristics of Cyclic Signals: Information Provision

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Systems, Decision and Control in Energy IV

Abstract

Cyclic signals are an important source of information about the processes and phenomena occurring in the surrounding world and technical systems. This chapter considers the methodology for measuring and analyzing the characteristics of cyclic signals based on the discrete Hilbert transform (DHT). Peculiarities of DHT application in the problems of measurement of signal characteristics are shown. The methodological error in determining the characteristics of signals, due to the limited time of signal realizations, is considered. The possibility of reducing this error due to additional window processing of signal realizations is shown. The advantages of circular median filtering of the phase characteristics of signals in the presence of noise of significant intensity are presented.

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Correspondence to Artur Zaporozhets .

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Babak, V., Zaporozhets, A., Kulyk, M., Kuts, Y., Scherbak, L. (2023). Application of Discrete Hilbert Transform to Estimate the Characteristics of Cyclic Signals: Information Provision. In: Zaporozhets, A. (eds) Systems, Decision and Control in Energy IV. Studies in Systems, Decision and Control, vol 454. Springer, Cham. https://doi.org/10.1007/978-3-031-22464-5_5

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  • DOI: https://doi.org/10.1007/978-3-031-22464-5_5

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