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

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Summary :

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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.7 pp.1557-1561

Publication Date: 2017/07/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E100.A.1557

Type of Manuscript: LETTER

Category: Digital Signal Processing

Authors

Shunsuke KOSHITA
  Tohoku University
Hiroyuki MUNAKATA
  Tohoku University
Masahide ABE
  Tohoku University
Masayuki KAWAMATA
  Tohoku University

Keyword

adaptive notch filter, MIG algorithm, gradient characteristic, monotonically increasing

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Shunsuke KOSHITA, Hiroyuki MUNAKATA, Masahide ABE, Masayuki KAWAMATA, "Correct Formulation of Gradient Characteristics for Adaptive Notch Filters Based on Monotonically Increasing Gradient Algorithm" in IEICE TRANSACTIONS on Fundamentals, vol. E100-A, no. 7, pp. 1557-1561, July 2017, doi: 10.1587/transfun.E100.A.1557.
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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.1557/_p

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@ARTICLE{e100-a_7_1557,
author={Shunsuke KOSHITA, Hiroyuki MUNAKATA, Masahide ABE, Masayuki KAWAMATA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Correct Formulation of Gradient Characteristics for Adaptive Notch Filters Based on Monotonically Increasing Gradient Algorithm},
year={2017},
volume={E100-A},
number={7},
pages={1557-1561},
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={},
doi={10.1587/transfun.E100.A.1557},
ISSN={1745-1337},
month={July},}

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TY - JOUR
TI - Correct Formulation of Gradient Characteristics for Adaptive Notch Filters Based on Monotonically Increasing Gradient Algorithm
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1557
EP - 1561
AU - Shunsuke KOSHITA
AU - Hiroyuki MUNAKATA
AU - Masahide ABE
AU - Masayuki KAWAMATA
PY - 2017
DO - 10.1587/transfun.E100.A.1557
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2017
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.
ER -