IEICE TRANSACTIONS on Fundamentals
Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis
Summary :
This paper investigates an adaptive notch digital filter that employs normal state-space realization of a single-frequency second-order IIR notch digital filter. An adaptive algorithm is developed to minimize the mean-squared output error of the filter iteratively. This algorithm is based on a simplified form of the gradient-decent method. Stability and frequency estimation bias are analyzed for the adaptive iterative algorithm. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive notch digital filter and the frequency-estimation bias analyzed for the adaptive iterative algorithm.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E104-A No.11 pp.1585-1592
- Publication Date
- 2021/11/01
- Publicized
- 2021/05/17
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2021EAP1010
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
Authors
Yoichi HINAMOTO
NIT Kagawa College
Shotaro NISHIMURA
the Professor Emeritus of Shimane University
Keyword
Latest Issue
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Yoichi HINAMOTO, Shotaro NISHIMURA, "Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis" in IEICE TRANSACTIONS on Fundamentals,
vol. E104-A, no. 11, pp. 1585-1592, November 2021, doi: 10.1587/transfun.2021EAP1010.
Abstract: This paper investigates an adaptive notch digital filter that employs normal state-space realization of a single-frequency second-order IIR notch digital filter. An adaptive algorithm is developed to minimize the mean-squared output error of the filter iteratively. This algorithm is based on a simplified form of the gradient-decent method. Stability and frequency estimation bias are analyzed for the adaptive iterative algorithm. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive notch digital filter and the frequency-estimation bias analyzed for the adaptive iterative algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2021EAP1010/_p
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@ARTICLE{e104-a_11_1585,
author={Yoichi HINAMOTO, Shotaro NISHIMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis},
year={2021},
volume={E104-A},
number={11},
pages={1585-1592},
abstract={This paper investigates an adaptive notch digital filter that employs normal state-space realization of a single-frequency second-order IIR notch digital filter. An adaptive algorithm is developed to minimize the mean-squared output error of the filter iteratively. This algorithm is based on a simplified form of the gradient-decent method. Stability and frequency estimation bias are analyzed for the adaptive iterative algorithm. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive notch digital filter and the frequency-estimation bias analyzed for the adaptive iterative algorithm.},
keywords={},
doi={10.1587/transfun.2021EAP1010},
ISSN={1745-1337},
month={November},}
Copy
TY - JOUR
TI - Adaptive Normal State-Space Notch Digital Filters: Algorithm and Frequency-Estimation Bias Analysis
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1585
EP - 1592
AU - Yoichi HINAMOTO
AU - Shotaro NISHIMURA
PY - 2021
DO - 10.1587/transfun.2021EAP1010
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E104-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2021
AB - This paper investigates an adaptive notch digital filter that employs normal state-space realization of a single-frequency second-order IIR notch digital filter. An adaptive algorithm is developed to minimize the mean-squared output error of the filter iteratively. This algorithm is based on a simplified form of the gradient-decent method. Stability and frequency estimation bias are analyzed for the adaptive iterative algorithm. Finally, a numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive notch digital filter and the frequency-estimation bias analyzed for the adaptive iterative algorithm.
ER -
English
