Generalized wiener spline adaptive filter for nonlinear system identification

Liangdong Yang; Jinxin Liu; Qian Zhang; Xuefeng Chen; Yaqian Li

Generalized wiener spline adaptive filter for nonlinear system identification

Liangdong Yang
, Jinxin Liu
, Qian Zhang
, Xuefeng Chen
, Yaqian Li

School of Mechanical Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

Since online identification of nonlinear system is very important for the active noise control system, a new structure of nonlinear spline adaptive filter (SAF) is presented in this paper. This new filter is composed of a linear IIR filter followed by a series of nonlinear spline adaptive filters (spline filter bank). The IIR filter and the spline filter bank describe the linearity and nonlinearity of the practical system, respectively. This new filter is called the generalized Wiener spline adaptive filter (GWSAF). In GWSAF, the spline filter bank receives the input of the system, the output of the IIR filter and the output of the system as its input signals. All the parameters in IIR filter and spline filter bank are updated by stochastic gradient descent (SGD) method. Compared with the traditional spline adaptive filter, this new structure contains more comprehensive descriptions of nonlinearity, which makes it have superior nonlinear modelling ability. Simulation shows that the proposed GWSAF performs much better than the existing SAF-family algorithms under complex nonlinearity.

Original language	English
Title of host publication	"Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021
Editors	Eleonora Carletti, Malcolm Crocker, Marek Pawelczyk, Jiri Tuma
Publisher	Silesian University Press
ISBN (Electronic)	9788378807995
State	Published - 2021
Event	27th International Congress on Sound and Vibration, ICSV 2021 - Virtual, Online Duration: 11 Jul 2021 → 16 Jul 2021

Publication series

Name	"Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021
ISSN (Print)	2329-3675

Conference

Conference	27th International Congress on Sound and Vibration, ICSV 2021
City	Virtual, Online
Period	11/07/21 → 16/07/21

Keywords

Nonlinear system identification
Spline adaptive filter
Wiener model

Cite this

Yang, L., Liu, J., Zhang, Q., Chen, X., & Li, Y. (2021). Generalized wiener spline adaptive filter for nonlinear system identification. In E. Carletti, M. Crocker, M. Pawelczyk, & J. Tuma (Eds.), "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021 ("Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021). Silesian University Press.

Yang, Liangdong ; Liu, Jinxin ; Zhang, Qian et al. / Generalized wiener spline adaptive filter for nonlinear system identification. "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. editor / Eleonora Carletti ; Malcolm Crocker ; Marek Pawelczyk ; Jiri Tuma. Silesian University Press, 2021. ("Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021).

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title = "Generalized wiener spline adaptive filter for nonlinear system identification",

abstract = "Since online identification of nonlinear system is very important for the active noise control system, a new structure of nonlinear spline adaptive filter (SAF) is presented in this paper. This new filter is composed of a linear IIR filter followed by a series of nonlinear spline adaptive filters (spline filter bank). The IIR filter and the spline filter bank describe the linearity and nonlinearity of the practical system, respectively. This new filter is called the generalized Wiener spline adaptive filter (GWSAF). In GWSAF, the spline filter bank receives the input of the system, the output of the IIR filter and the output of the system as its input signals. All the parameters in IIR filter and spline filter bank are updated by stochastic gradient descent (SGD) method. Compared with the traditional spline adaptive filter, this new structure contains more comprehensive descriptions of nonlinearity, which makes it have superior nonlinear modelling ability. Simulation shows that the proposed GWSAF performs much better than the existing SAF-family algorithms under complex nonlinearity.",

keywords = "Nonlinear system identification, Spline adaptive filter, Wiener model",

author = "Liangdong Yang and Jinxin Liu and Qian Zhang and Xuefeng Chen and Yaqian Li",

note = "Publisher Copyright: {\textcopyright} {"}Advances in Acoustics, Noise and Vibration - 2021{"} Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. All rights reserved.; 27th International Congress on Sound and Vibration, ICSV 2021 ; Conference date: 11-07-2021 Through 16-07-2021",

year = "2021",

language = "英语",

series = "{"}Advances in Acoustics, Noise and Vibration - 2021{"} Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021",

publisher = "Silesian University Press",

editor = "Eleonora Carletti and Malcolm Crocker and Marek Pawelczyk and Jiri Tuma",

booktitle = "{"}Advances in Acoustics, Noise and Vibration - 2021{"} Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021",

}

Yang, L, Liu, J, Zhang, Q, Chen, X & Li, Y 2021, Generalized wiener spline adaptive filter for nonlinear system identification. in E Carletti, M Crocker, M Pawelczyk & J Tuma (eds), "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021, Silesian University Press, 27th International Congress on Sound and Vibration, ICSV 2021, Virtual, Online, 11/07/21.

Generalized wiener spline adaptive filter for nonlinear system identification. / Yang, Liangdong; Liu, Jinxin; Zhang, Qian et al.
"Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. ed. / Eleonora Carletti; Malcolm Crocker; Marek Pawelczyk; Jiri Tuma. Silesian University Press, 2021. ("Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - Generalized wiener spline adaptive filter for nonlinear system identification

AU - Yang, Liangdong

AU - Liu, Jinxin

AU - Zhang, Qian

AU - Chen, Xuefeng

AU - Li, Yaqian

PY - 2021

Y1 - 2021

N2 - Since online identification of nonlinear system is very important for the active noise control system, a new structure of nonlinear spline adaptive filter (SAF) is presented in this paper. This new filter is composed of a linear IIR filter followed by a series of nonlinear spline adaptive filters (spline filter bank). The IIR filter and the spline filter bank describe the linearity and nonlinearity of the practical system, respectively. This new filter is called the generalized Wiener spline adaptive filter (GWSAF). In GWSAF, the spline filter bank receives the input of the system, the output of the IIR filter and the output of the system as its input signals. All the parameters in IIR filter and spline filter bank are updated by stochastic gradient descent (SGD) method. Compared with the traditional spline adaptive filter, this new structure contains more comprehensive descriptions of nonlinearity, which makes it have superior nonlinear modelling ability. Simulation shows that the proposed GWSAF performs much better than the existing SAF-family algorithms under complex nonlinearity.

AB - Since online identification of nonlinear system is very important for the active noise control system, a new structure of nonlinear spline adaptive filter (SAF) is presented in this paper. This new filter is composed of a linear IIR filter followed by a series of nonlinear spline adaptive filters (spline filter bank). The IIR filter and the spline filter bank describe the linearity and nonlinearity of the practical system, respectively. This new filter is called the generalized Wiener spline adaptive filter (GWSAF). In GWSAF, the spline filter bank receives the input of the system, the output of the IIR filter and the output of the system as its input signals. All the parameters in IIR filter and spline filter bank are updated by stochastic gradient descent (SGD) method. Compared with the traditional spline adaptive filter, this new structure contains more comprehensive descriptions of nonlinearity, which makes it have superior nonlinear modelling ability. Simulation shows that the proposed GWSAF performs much better than the existing SAF-family algorithms under complex nonlinearity.

KW - Nonlinear system identification

KW - Spline adaptive filter

KW - Wiener model

UR - https://www.scopus.com/pages/publications/85117501000

M3 - 会议稿件

AN - SCOPUS:85117501000

T3 - "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021

BT - "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021

A2 - Carletti, Eleonora

A2 - Crocker, Malcolm

A2 - Pawelczyk, Marek

A2 - Tuma, Jiri

PB - Silesian University Press

T2 - 27th International Congress on Sound and Vibration, ICSV 2021

Y2 - 11 July 2021 through 16 July 2021

ER -

Yang L, Liu J, Zhang Q, Chen X, Li Y. Generalized wiener spline adaptive filter for nonlinear system identification. In Carletti E, Crocker M, Pawelczyk M, Tuma J, editors, "Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021. Silesian University Press. 2021. ("Advances in Acoustics, Noise and Vibration - 2021" Proceedings of the 27th International Congress on Sound and Vibration, ICSV 2021).

Generalized wiener spline adaptive filter for nonlinear system identification

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