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Conditional mean and maximum likelihood approaches to multiharmonic frequency estimation

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3 Author(s)
James, B. ; Dept. of Electr. & Electron. Eng., Imperial Coll. of Sci., Technol. & Med., London, UK ; Anderson, B.D.O. ; Williamson, R.C.

The performance of an extended Kalman filter (EKF) applied to the problem of estimating the (assumed constant) parameters (fundamental frequency, harmonic phases, and amplitudes) of a complex multiharmonic signal measured in noise is shown to be asymptotically (i.e., as the number of measurements tends to infinity) efficient. The Cramer-Rao (CR) bounds associated with the estimation problem are derived for the case where the measurements commence at an arbitrary time distinct from zero

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Signal Processing, IEEE Transactions on  (Volume:42 ,  Issue: 6 )