Improving sinusoidal frequency estimation using a trigonometrical approach

Estimating the frequency of sinusoidal components is the first part of the sinusoidal analysis chain. Among numerous frequency estimators presented in the literature, we propose to study an esti-mator proposed in [1] known as the derivative algorithm. Thanks to a trigonometric interpretation of this frequency estimator, we are able to propose a new estimator which improves estimation perfor-mance for the frequencies close to the Nyquist frequency without any computational overload