Digital Multiple Notch Filter Design with Nelder-Mead Simplex Method
Summary :
Multiple notch filters are used to suppress narrow-band or sinusoidal interferences in digital signals. In this paper, we propose a novel optimization design technique of an infinite impulse response (IIR) multiple notch filter. It is based on the Nelder-Mead simplex method. Firstly, the system function of the desired notch filter is constructed to form the objective function of the optimization technique. Secondly, the design parameters of the desired notch filter are optimized by Nelder-Mead simplex method. A weight function is also introduced to improve amplitude response of the notch filter. Thirdly, the convergence and amplitude response of the proposed technique are compared with other Nelder-Mead based design methods and the cascade-based design method. Finally, the practicability of the proposed notch filter design technique is demonstrated by some practical applications.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E100-A No.1 pp.259-265
- Publication Date
- 2017/01/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E100.A.259
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Qiusheng WANG
Beihang University
Xiaolan GU
Beihang University
Yingyi LIU
Beihang University
Haiwen YUAN
Beihang University
Keyword
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Qiusheng WANG, Xiaolan GU, Yingyi LIU, Haiwen YUAN, "Digital Multiple Notch Filter Design with Nelder-Mead Simplex Method" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 1, pp. 259-265, January 2017, doi: 10.1587/transfun.E100.A.259.
Abstract: Multiple notch filters are used to suppress narrow-band or sinusoidal interferences in digital signals. In this paper, we propose a novel optimization design technique of an infinite impulse response (IIR) multiple notch filter. It is based on the Nelder-Mead simplex method. Firstly, the system function of the desired notch filter is constructed to form the objective function of the optimization technique. Secondly, the design parameters of the desired notch filter are optimized by Nelder-Mead simplex method. A weight function is also introduced to improve amplitude response of the notch filter. Thirdly, the convergence and amplitude response of the proposed technique are compared with other Nelder-Mead based design methods and the cascade-based design method. Finally, the practicability of the proposed notch filter design technique is demonstrated by some practical applications.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.259/_p
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@ARTICLE{e100-a_1_259,
author={Qiusheng WANG, Xiaolan GU, Yingyi LIU, Haiwen YUAN, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Digital Multiple Notch Filter Design with Nelder-Mead Simplex Method},
year={2017},
volume={E100-A},
number={1},
pages={259-265},
abstract={Multiple notch filters are used to suppress narrow-band or sinusoidal interferences in digital signals. In this paper, we propose a novel optimization design technique of an infinite impulse response (IIR) multiple notch filter. It is based on the Nelder-Mead simplex method. Firstly, the system function of the desired notch filter is constructed to form the objective function of the optimization technique. Secondly, the design parameters of the desired notch filter are optimized by Nelder-Mead simplex method. A weight function is also introduced to improve amplitude response of the notch filter. Thirdly, the convergence and amplitude response of the proposed technique are compared with other Nelder-Mead based design methods and the cascade-based design method. Finally, the practicability of the proposed notch filter design technique is demonstrated by some practical applications.},
keywords={},
doi={10.1587/transfun.E100.A.259},
ISSN={1745-1337},
month={January},}
Copy
TY - JOUR
TI - Digital Multiple Notch Filter Design with Nelder-Mead Simplex Method
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 259
EP - 265
AU - Qiusheng WANG
AU - Xiaolan GU
AU - Yingyi LIU
AU - Haiwen YUAN
PY - 2017
DO - 10.1587/transfun.E100.A.259
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2017
AB - Multiple notch filters are used to suppress narrow-band or sinusoidal interferences in digital signals. In this paper, we propose a novel optimization design technique of an infinite impulse response (IIR) multiple notch filter. It is based on the Nelder-Mead simplex method. Firstly, the system function of the desired notch filter is constructed to form the objective function of the optimization technique. Secondly, the design parameters of the desired notch filter are optimized by Nelder-Mead simplex method. A weight function is also introduced to improve amplitude response of the notch filter. Thirdly, the convergence and amplitude response of the proposed technique are compared with other Nelder-Mead based design methods and the cascade-based design method. Finally, the practicability of the proposed notch filter design technique is demonstrated by some practical applications.
ER -
English
