Estimation Algorithm Non-Stationary Frequency of the Sinusoidal Signal

TL;DR

This paper presents an iterative differentiation and DREM-based algorithm with a Luenberger observer for estimating the time-varying frequency of sinusoidal signals, demonstrating convergence through numerical simulation.

Contribution

It introduces a novel combination of iterative differentiation, DREM, and Luenberger observer for non-stationary frequency estimation of sinusoidal signals.

Findings

The algorithm accurately estimates variable frequency.

Convergence of the frequency estimate is demonstrated.

Numerical simulations confirm the method's efficiency.

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.