Correct Formulation of Gradient Characteristics for Adaptive Notch Filters Based on Monotonically Increasing Gradient Algorithm

Shunsuke KOSHITA  Hiroyuki MUNAKATA  Masahide ABE  Masayuki KAWAMATA  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E100-A   No.7   pp.1557-1561
Publication Date: 2017/07/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E100.A.1557
Type of Manuscript: LETTER
Category: Digital Signal Processing
adaptive notch filter,  MIG algorithm,  gradient characteristic,  monotonically increasing,  

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In the field of adaptive notch filtering, Monotonically Increasing Gradient (MIG) algorithm has recently been proposed by Sugiura and Shimamura [1], where it is claimed that the MIG algorithm shows monotonically increasing gradient characteristics. However, our analysis has found that the underlying theory in [1] includes crucial errors. This letter shows that the formulation of the gradient characteristics in [1] is incorrect, and reveals that the MIG algorithm fails to realize monotonically increasing gradient characteristics when the input signal includes white noise.