doi: 10.17586/2226-1494-2026-26-1-214-217


Harmonic carrier frequency estimation of a disturbed amplitude modulated signal

A. A. Bobtsov, O. V. Oskina, O. V. Slita, N. A. Nikolaev, A. A. Boitsev


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Bobtsov A.A., Oskina O.V., Slita O.V., Nikolaev N.A., Boitsev A.A. Harmonic carrier frequency estimation of a disturbed amplitude modulated signal. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2026, vol. 26, no. 1, pp. 214–217 (in Russian). doi: 10.17586/2226-1494-2026-26-1-214-217


Abstract
This paper proposes a new algorithm for estimating the carrier frequency of an amplitude modulated signal in the presence of measurement noise. An estimate is provided for the maximum amplitude of the disturbance for which the problem of estimating the unknown frequency can be solved using the proposed approach. The problem of frequency estimation is solved in several stages: parameterization of the initial measured signal to the form of linear regression; application of a nonlinear transformation of the coordinates of the initial regression model; estimation of the unknown frequency. The results of the paper can be used to solve practical problems in the areas of processing and evaluating sinusoidal signals subject to disturbances.

Keywords: sinusoidal signal, linear regression model, parameter identification, disturbance

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