IEICE TRANSACTIONS on Fundamentals
Enhancement and Tracking of a Single Sinusoid in Noise Using Cumulant-Based IIR Adaptive Notch Filter
Summary :
In this paper, a novel cumulant-based adaptive notch filtering technique for the enhancement and tracking of a single sinusoid in additive noise is presented. In this technique, the enhanced signal is obtained as the output of a narrow bandpass filter implemented using a second-order pole-zero constraint IIR adaptive notch filter, which needs only one coefficient to be updated. The filter coefficient, which leads to identifying and tracking the sinusoidal frequency, is updated using a suggested adaptive algorithm employing a recursive estimate of the kurtosis and only one-sample-lag point of a selected one-dimensional fourth-order cumulant slice of the input signal. Therefore, the proposed technique provides automatically resistance to additive Gaussian noise. It is also shown that the presented technique outperforms the correlation-based counterpart in handling additive non-Gaussian noise. Simulation results are provided to show the effectiveness of the proposed algorithm in comparison with the correlation-based lattice algorithm.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E84-A No.2 pp.568-576
- Publication Date
- 2001/02/01
- Publicized
- Online ISSN
- DOI
- Type of Manuscript
- PAPER
- Category
- Digital Signal Processing
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Reda Ragab GHARIEB, Yuukou HORITA, Tadakuni MURAI, "Enhancement and Tracking of a Single Sinusoid in Noise Using Cumulant-Based IIR Adaptive Notch Filter" in IEICE TRANSACTIONS on Fundamentals,
vol. E84-A, no. 2, pp. 568-576, February 2001, doi: .
Abstract: In this paper, a novel cumulant-based adaptive notch filtering technique for the enhancement and tracking of a single sinusoid in additive noise is presented. In this technique, the enhanced signal is obtained as the output of a narrow bandpass filter implemented using a second-order pole-zero constraint IIR adaptive notch filter, which needs only one coefficient to be updated. The filter coefficient, which leads to identifying and tracking the sinusoidal frequency, is updated using a suggested adaptive algorithm employing a recursive estimate of the kurtosis and only one-sample-lag point of a selected one-dimensional fourth-order cumulant slice of the input signal. Therefore, the proposed technique provides automatically resistance to additive Gaussian noise. It is also shown that the presented technique outperforms the correlation-based counterpart in handling additive non-Gaussian noise. Simulation results are provided to show the effectiveness of the proposed algorithm in comparison with the correlation-based lattice algorithm.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e84-a_2_568/_p
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@ARTICLE{e84-a_2_568,
author={Reda Ragab GHARIEB, Yuukou HORITA, Tadakuni MURAI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Enhancement and Tracking of a Single Sinusoid in Noise Using Cumulant-Based IIR Adaptive Notch Filter},
year={2001},
volume={E84-A},
number={2},
pages={568-576},
abstract={In this paper, a novel cumulant-based adaptive notch filtering technique for the enhancement and tracking of a single sinusoid in additive noise is presented. In this technique, the enhanced signal is obtained as the output of a narrow bandpass filter implemented using a second-order pole-zero constraint IIR adaptive notch filter, which needs only one coefficient to be updated. The filter coefficient, which leads to identifying and tracking the sinusoidal frequency, is updated using a suggested adaptive algorithm employing a recursive estimate of the kurtosis and only one-sample-lag point of a selected one-dimensional fourth-order cumulant slice of the input signal. Therefore, the proposed technique provides automatically resistance to additive Gaussian noise. It is also shown that the presented technique outperforms the correlation-based counterpart in handling additive non-Gaussian noise. Simulation results are provided to show the effectiveness of the proposed algorithm in comparison with the correlation-based lattice algorithm.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - Enhancement and Tracking of a Single Sinusoid in Noise Using Cumulant-Based IIR Adaptive Notch Filter
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 568
EP - 576
AU - Reda Ragab GHARIEB
AU - Yuukou HORITA
AU - Tadakuni MURAI
PY - 2001
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E84-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2001
AB - In this paper, a novel cumulant-based adaptive notch filtering technique for the enhancement and tracking of a single sinusoid in additive noise is presented. In this technique, the enhanced signal is obtained as the output of a narrow bandpass filter implemented using a second-order pole-zero constraint IIR adaptive notch filter, which needs only one coefficient to be updated. The filter coefficient, which leads to identifying and tracking the sinusoidal frequency, is updated using a suggested adaptive algorithm employing a recursive estimate of the kurtosis and only one-sample-lag point of a selected one-dimensional fourth-order cumulant slice of the input signal. Therefore, the proposed technique provides automatically resistance to additive Gaussian noise. It is also shown that the presented technique outperforms the correlation-based counterpart in handling additive non-Gaussian noise. Simulation results are provided to show the effectiveness of the proposed algorithm in comparison with the correlation-based lattice algorithm.
ER -
English
