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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
Publication Date: 2017/07/01
Online ISSN: 1745-1337
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 , where it is claimed that the MIG algorithm shows monotonically increasing gradient characteristics. However, our analysis has found that the underlying theory in  includes crucial errors. This letter shows that the formulation of the gradient characteristics in  is incorrect, and reveals that the MIG algorithm fails to realize monotonically increasing gradient characteristics when the input signal includes white noise.