Bias Free Adaptive Notch Filter Based on Fourier Sine Series

Shiogai, Kazuki; Sasaoka, Naoto; Kobayashi, Masaki; Nakanishi, Isao; Okello, James; Itoh, Yoshio

doi:10.1587/transfun.e97.a.557

Cited by 1 publication

(1 citation statement)

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“…Such detection and removal/enhancement of sinusoids is achieved by an adaptive algorithm that controls the transfer functions of notch filters. To date, many methods for the adaptive notch filtering have been proposed [1]- [19]. Among many types of adaptive notch filters, we focus on the one based on the secondorder IIR notch filter that is designed by an IIR all-pass filter [1], [4]- [6], [9]- [13], [15], [18].…”

Section: Introductionmentioning

confidence: 99%

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

Nakamura

Koshita

Abe

et al. 2015

IEICE Trans. Fundamentals

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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 Algorithm (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.

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