This paper deals with a state-space approach for adaptive second-order IIR notch digital filters with constrained poles and zeros. A simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive notch digital filter. Then, stability and parameter-estimation bias are analyzed for the simplified iterative algorithm. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space notch digital filter and parameter-estimation bias analysis.
Yoichi HINAMOTO
NIT Kagawa College
Shotaro NISHIMURA
Shimane University
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Yoichi HINAMOTO, Shotaro NISHIMURA, "A State-Space Approach and Its Estimation Bias Analysis for Adaptive Notch Digital Filters with Constrained Poles and Zeros" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 3, pp. 582-589, March 2023, doi: 10.1587/transfun.2022EAP1034.
Abstract: This paper deals with a state-space approach for adaptive second-order IIR notch digital filters with constrained poles and zeros. A simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive notch digital filter. Then, stability and parameter-estimation bias are analyzed for the simplified iterative algorithm. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space notch digital filter and parameter-estimation bias analysis.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022EAP1034/_p
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@ARTICLE{e106-a_3_582,
author={Yoichi HINAMOTO, Shotaro NISHIMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A State-Space Approach and Its Estimation Bias Analysis for Adaptive Notch Digital Filters with Constrained Poles and Zeros},
year={2023},
volume={E106-A},
number={3},
pages={582-589},
abstract={This paper deals with a state-space approach for adaptive second-order IIR notch digital filters with constrained poles and zeros. A simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive notch digital filter. Then, stability and parameter-estimation bias are analyzed for the simplified iterative algorithm. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space notch digital filter and parameter-estimation bias analysis.},
keywords={},
doi={10.1587/transfun.2022EAP1034},
ISSN={1745-1337},
month={March},}
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TY - JOUR
TI - A State-Space Approach and Its Estimation Bias Analysis for Adaptive Notch Digital Filters with Constrained Poles and Zeros
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 582
EP - 589
AU - Yoichi HINAMOTO
AU - Shotaro NISHIMURA
PY - 2023
DO - 10.1587/transfun.2022EAP1034
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2023
AB - This paper deals with a state-space approach for adaptive second-order IIR notch digital filters with constrained poles and zeros. A simplified iterative algorithm is derived from the gradient-descent method to minimize the mean-squared output of an adaptive notch digital filter. Then, stability and parameter-estimation bias are analyzed for the simplified iterative algorithm. A numerical example is presented to demonstrate the validity and effectiveness of the proposed adaptive state-space notch digital filter and parameter-estimation bias analysis.
ER -