Correct formulation of gradient characteristics for adaptive notch filters based on monotonically increasing gradient algorithm

Shunsuke Koshita; Hiroyuki Munakata; Masahide Abe; Masayuki Kawamata

doi:10.1587/transfun.E100.A.1557

Correct formulation of gradient characteristics for adaptive notch filters based on monotonically increasing gradient algorithm

Shunsuke Koshita, Hiroyuki Munakata, Masahide Abe, Masayuki Kawamata

ENG - Electronic Engineering

Research output: Contribution to journal › Article › peer-review

1 Citation (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	1557-1561
Number of pages	5
Journal	IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
Volume	E100A
Issue number	7
DOIs	https://doi.org/10.1587/transfun.E100.A.1557
Publication status	Published - 2017 Jul

Keywords

Adaptive notch filter
Gradient characteristic
MIG algorithm
Monotonically increasing

ASJC Scopus subject areas

Signal Processing
Computer Graphics and Computer-Aided Design
Electrical and Electronic Engineering
Applied Mathematics

Access to Document

10.1587/transfun.E100.A.1557

Cite this

Correct formulation of gradient characteristics for adaptive notch filters based on monotonically increasing gradient algorithm. / Koshita, Shunsuke; Munakata, Hiroyuki; Abe, Masahide; Kawamata, Masayuki.

In: IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, Vol. E100A, No. 7, 07.2017, p. 1557-1561.

Research output: Contribution to journal › Article › peer-review

@article{ffc65a181487462288741eca83d66b83,

title = "Correct formulation of gradient characteristics for adaptive notch filters based on monotonically increasing gradient algorithm",

abstract = "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.",

keywords = "Adaptive notch filter, Gradient characteristic, MIG algorithm, Monotonically increasing",

author = "Shunsuke Koshita and Hiroyuki Munakata and Masahide Abe and Masayuki Kawamata",

note = "Publisher Copyright: Copyright {\textcopyright} 2017 The Institute of Electronics, Information and Communication Engineers.",

year = "2017",

month = jul,

doi = "10.1587/transfun.E100.A.1557",

language = "English",

volume = "E100A",

pages = "1557--1561",

journal = "IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences",

issn = "0916-8508",

publisher = "Maruzen Co., Ltd/Maruzen Kabushikikaisha",

number = "7",

}

TY - JOUR

T1 - Correct formulation of gradient characteristics for adaptive notch filters based on monotonically increasing gradient algorithm

AU - Koshita, Shunsuke

AU - Munakata, Hiroyuki

AU - Abe, Masahide

AU - Kawamata, Masayuki

PY - 2017/7

Y1 - 2017/7

N2 - 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.

AB - 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.

KW - Adaptive notch filter

KW - Gradient characteristic

KW - MIG algorithm

KW - Monotonically increasing

UR - http://www.scopus.com/inward/record.url?scp=85021814463&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85021814463&partnerID=8YFLogxK

U2 - 10.1587/transfun.E100.A.1557

DO - 10.1587/transfun.E100.A.1557

M3 - Article

AN - SCOPUS:85021814463

VL - E100A

SP - 1557

EP - 1561

JO - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

JF - IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

SN - 0916-8508

IS - 7

ER -

Correct formulation of gradient characteristics for adaptive notch filters based on monotonically increasing gradient algorithm

Abstract

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this