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arXiv · 2109.09347

Estimation Algorithm Non-Stationary Frequency of the Sinusoidal Signal

S. I. Nizovtsev·S. V. Shavetov·A. A. Pyrkin
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Abstract

The article considers the problem of identifying the variable frequency of a sinusoidal signal. To obtain a regression model of the signal, an iterative differentiation of the original analytical expression is performed, and the swapping lemma is applied. The estimation of the parameters of the non-stationary frequency is implemented using the dynamic expansion of the regressor and mixing (DREM) procedure and the Luenberger observer. As a result of the numerical simulation, the efficiency of the proposed algorithm is demonstrated, showing the convergence of the frequency estimate to the true value.

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S. I. Nizovtsev, S. V. Shavetov, A. A. Pyrkin. 2021-09-20. Estimation Algorithm Non-Stationary Frequency of the Sinusoidal Signal. https://arxiv.org/abs/2109.09347

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