Estimation of Sinusoidal Frequencies and Amplitudes Using Adaptive Identifier and Observer

@article{Hou2007EstimationOS,
  title={Estimation of Sinusoidal Frequencies and Amplitudes Using Adaptive Identifier and Observer},
  author={Ming Hou},
  journal={IEEE Transactions on Automatic Control},
  year={2007},
  volume={52},
  pages={493-499}
}
A simple method is proposed for estimation of amplitudes of multiple sinusoids. The estimation is based on the existing adaptive identifier which offers the globally convergent estimate of sinusoidal frequencies. To deal with possible singularities of the amplitude estimation, adaptive observers are also proposed for estimation of sinusoidal amplitudes. Simulations illustrate the results 
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