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Phase-Based Estimation of the Harmonic Signal Frequency

Oleg V. Chernoyarov 1,2,3, Vladimir A. Ivanov 3, Maksim I. Maksimov 4, and Serguei Dachian 5
1. National Research Tomsk State University, Tomsk 634050, Russia
2. Maikop State Technological University, Maikop 385000, Russia
3. National Research University “Moscow Power Engineering Institute”, Moscow 111250, Russia
4. Plekhanov Russian University of Economics, Moscow 117997, Russia
5. University of Lille, Lille 59800, France

Abstract—This paper examines estimating the frequency of the information signal based on the analysis of the probability characteristics of the phase fluctuations when a mix of signal and narrowband noise is observed. The new estimation algorithm is described while the shortcomings of the commonly applied methods are specified. The performance of the proposed approach is illustrated by a number of examples. In particular, it is demonstrated that the application of the introduced procedure allows high accuracy measurements of the carrier frequency of the non-modulated, the multilevel phase and quadrature keyed signals.
Index Terms—Single sinusoid, unknown signal frequency, phase probability density, estimated parameter, phase-shift keying, quadrature amplitude shift keying

Cite: Oleg V. Chernoyarov, Vladimir A. Ivanov, Maksim I. Maksimov, and Serguei Dachian, "Phase-Based Estimation of the Harmonic Signal Frequency," Journal of Communications vol. 16, no. 4, pp. 126-131, April 2021. Doi: 10.12720/jcm.16.4.126-131

Copyright © 2021 by the authors. This is an open access article distributed under the Creative Commons Attribution License (CC BY-NC-ND 4.0), which permits use, distribution and reproduction in any medium, provided that the article is properly cited, the use is non-commercial and no modifications or adaptations are made.