Brief paper: Generalized adaptive notch filters with frequency debiasing for tracking of polynomial phase systems

Authors:
Maciej Niedwiecki;Adam Sobociński
Affiliations:
Faculty of Electronics, Telecommunications and Computer Science, Department of Automatic Control, Gdańsk University of Technology, ul. Narutowicza 11/12, Gdańsk , Poland;Faculty of Electronics, Telecommunications and Computer Science, Department of Automatic Control, Gdańsk University of Technology, ul. Narutowicza 11/12, Gdańsk , Poland
Venue:
Automatica (Journal of IFAC)
Year:
2007

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Abstract

Generalized adaptive notch filters are used for identification/tracking of quasi-periodically varying dynamic systems and can be considered an extension, to the system case, of classical adaptive notch filters. For general patterns of frequency variation the generalized adaptive notch filtering algorithms yield biased frequency estimates. We show that when system frequencies change slowly in a smooth way, the estimation bias can be substantially reduced by means of post-filtering of the frequency estimates. The modified (debiased) algorithm has better tracking capabilities than the original algorithm.