In this letter we present steady-state analyses of a gradient algorithm (GA) for second-order adaptive infinite impulse response (IIR) notch filters. A method for deriving more accurate estimation mean square error (MSE) expressions than the recently proposed method is presented. The method is based on the estimation error power spectral density (PSD). Moreover, an expression for the estimation bias for the adaptive IIR notch filter with constrained poles and zeros is shown to be obtained from the estimation MSE expression. Simulations are presented to confirm the validity of the analyses.
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Aloys MVUMA, Shotaro NISHIMURA, Takao HINAMOTO, "Performance Analyses of Adaptive IIR Notch Filters Using a PSD-Based Approach" in IEICE TRANSACTIONS on Fundamentals,
vol. E89-A, no. 7, pp. 2079-2083, July 2006, doi: 10.1093/ietfec/e89-a.7.2079.
Abstract: In this letter we present steady-state analyses of a gradient algorithm (GA) for second-order adaptive infinite impulse response (IIR) notch filters. A method for deriving more accurate estimation mean square error (MSE) expressions than the recently proposed method is presented. The method is based on the estimation error power spectral density (PSD). Moreover, an expression for the estimation bias for the adaptive IIR notch filter with constrained poles and zeros is shown to be obtained from the estimation MSE expression. Simulations are presented to confirm the validity of the analyses.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e89-a.7.2079/_p
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@ARTICLE{e89-a_7_2079,
author={Aloys MVUMA, Shotaro NISHIMURA, Takao HINAMOTO, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Performance Analyses of Adaptive IIR Notch Filters Using a PSD-Based Approach},
year={2006},
volume={E89-A},
number={7},
pages={2079-2083},
abstract={In this letter we present steady-state analyses of a gradient algorithm (GA) for second-order adaptive infinite impulse response (IIR) notch filters. A method for deriving more accurate estimation mean square error (MSE) expressions than the recently proposed method is presented. The method is based on the estimation error power spectral density (PSD). Moreover, an expression for the estimation bias for the adaptive IIR notch filter with constrained poles and zeros is shown to be obtained from the estimation MSE expression. Simulations are presented to confirm the validity of the analyses.},
keywords={},
doi={10.1093/ietfec/e89-a.7.2079},
ISSN={1745-1337},
month={July},}
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TY - JOUR
TI - Performance Analyses of Adaptive IIR Notch Filters Using a PSD-Based Approach
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2079
EP - 2083
AU - Aloys MVUMA
AU - Shotaro NISHIMURA
AU - Takao HINAMOTO
PY - 2006
DO - 10.1093/ietfec/e89-a.7.2079
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E89-A
IS - 7
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - July 2006
AB - In this letter we present steady-state analyses of a gradient algorithm (GA) for second-order adaptive infinite impulse response (IIR) notch filters. A method for deriving more accurate estimation mean square error (MSE) expressions than the recently proposed method is presented. The method is based on the estimation error power spectral density (PSD). Moreover, an expression for the estimation bias for the adaptive IIR notch filter with constrained poles and zeros is shown to be obtained from the estimation MSE expression. Simulations are presented to confirm the validity of the analyses.
ER -