Estimation of $n$ Frequencies Using Adaptive Notch Filter

摘要

This paper introduces an adaptive structure composed of $n$ coupled paralleled subfilters that directly estimates frequencies of multiple sinusoids. The order of differential equations governing this algorithm is $3n$, where $n$ is the number of sinusoids. Stability analysis of this algorithm is carried out based on the application of the averaging theory under the assumption of the slow adaptation. Simulation results verify the validity of the analytical issues.