A New Adaptive Notch Filtering Algorithm Based on Normalized Lattice Structure with Improved Mean Update Term

Shinichiro NAKAMURA, Shunsuke KOSHITA, Masahide ABE, Masayuki KAWAMATA
2015 IEICE Transactions on Fundamentals of Electronics Communications and Computer Sciences  
The usage of this PDF file must comply with the IEICE Provisions on Copyright. The author(s) can distribute this PDF file for research and educational (nonprofit) purposes only. Distribution by anyone other than the author(s) is prohibited. SUMMARY In this paper, we propose Affine Combination Lattice Algorithm (ACLA) as a new lattice-based adaptive notch filtering algorithm. The ACLA makes use of the affine combination of Regalia's Simplified Lattice Algorithm (SLA) and Lattice Gradient
more » ... m (LGA). It is proved that the ACLA has faster convergence speed than the conventional lattice-based algorithms. We conduct this proof by means of theoretical analysis of the mean update term. Specifically, we show that the mean update term of the ACLA is always larger than that of the conventional algorithms. Simulation examples demonstrate the validity of this analytical result and the utility of the ACLA. In addition, we also derive the step-size bound for the ACLA. Furthermore, we show that this step-size bound is characterized by the gradient of the mean update term. key words: adaptive notch filter, affine combination, mean update term, normalized lattice structure, simplified lattice algorithm
doi:10.1587/transfun.e98.a.1482 fatcat:sex6kbpg3bdpxm6i7ispe3hruq