Parameter Identification of Sinusoids

@article{Hou2012ParameterIO,
  title={Parameter Identification of Sinusoids},
  author={Ming Hou},
  journal={IEEE Transactions on Automatic Control},
  year={2012},
  volume={57},
  pages={467-472}
}
For a biased multi-sinusoidal signal an estimator of order 5n+1 is designed to identify all the 3n+1 parameters including the frequency, amplitude and phase for each of n sinusoids, and the overall offset. As an alternative, a fifth-order parameter estimator is also derived for a biased single sinusoid. The derivations of the estimators are straightforward by using some treatments in the existing frequency estimators and the standard gradient algorithm. Global asymptotic convergence of the… CONTINUE READING

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