Direct frequency estimation based adaptive algorithm for a second-order adaptive FIR notch filter

  • Authors:

  • R. Punchalard;A. Lorsawatsiri;W. Loetwassana;J. Koseeyaporn;P. Wardkein;A. Roeksabutr

  • Affiliations:

  • Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand;Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand;Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand;Department of Telecommunication Engineering, Faculty of Engineering, King Mongkut's Institute of Technology Ladkrabang, Bangkok 10520, Thailand;Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand and Department of Telecommunication Engineering, Faculty of Engineering, King Mongkut's In ...;Department of Telecommunication Engineering, Mahanakorn University of Technology, Bangkok 10530, Thailand

  • Venue:
  • Signal Processing
  • Year:
  • 2008

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Abstract

This work deals with the problem of the frequency estimation of a sinusoidal signal corrupted by broad-band noise. The direct frequency estimation based adaptive algorithm for a second-order adaptive finite impulse response (FIR) notch filter (AFNF) is thus proposed. The proposed algorithm employs the bias removal technique to remove the bias existing in the estimated parameter. The performances including the rate of convergence and the mean square error (MSE) can be easily controlled by using only one parameter, i.e., step size parameter. Moreover, the proposed filter is simple to implement and suitable for real-time applications. In addition, the difference equations for the convergence in the mean and mean square, and the closed form expressions for the steady-state estimation bias and MSE are also carried out. Finally, the simulation results are provided to confirm the theoretical analysis.