Equalizer-Aided Time Delay Tracking Based on <I>L</I><SUB>1</SUB>-Normed Finite Differences

Jonah GAMBA; Tetsuya SHIMAMURA

doi:10.1093/ietfec/e88-a.4.978

Equalizer-Aided Time Delay Tracking Based on L₁-Normed Finite Differences

Jonah GAMBA, Tetsuya SHIMAMURA

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This paper addresses the estimation of time delay between two spatially separated noisy signals by system identification modeling with the input and output corrupted by additive white Gaussian noise. The proposed method is based on a modified adaptive Butler-Cantoni equalizer that decouples noise variance estimation from channel estimation. The bias in time delay estimates that is induced by input noise is reduced by an IIR whitening filter whose coefficients are found by the Burg algorithm. For step time-variant delays, a dual mode operation scheme is adopted in which we define a normal operating (tracking) mode and an interrupt operating (optimization) mode. In the tracking mode, only a few coefficients of the impulse response vector are monitored through L₁-normed finite forward differences tracking, while in the optimization mode, the time delay optimized. Simulation results confirm the superiority of the proposed approach at low signal-to-noise ratios.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E88-A No.4 pp.978-987

Publication Date: 2005/04/01

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DOI: 10.1093/ietfec/e88-a.4.978

Type of Manuscript: PAPER

Category: Digital Signal Processing

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Jonah GAMBA, Tetsuya SHIMAMURA, "Equalizer-Aided Time Delay Tracking Based on L1-Normed Finite Differences" in IEICE TRANSACTIONS on Fundamentals, vol. E88-A, no. 4, pp. 978-987, April 2005, doi: 10.1093/ietfec/e88-a.4.978.
Abstract: This paper addresses the estimation of time delay between two spatially separated noisy signals by system identification modeling with the input and output corrupted by additive white Gaussian noise. The proposed method is based on a modified adaptive Butler-Cantoni equalizer that decouples noise variance estimation from channel estimation. The bias in time delay estimates that is induced by input noise is reduced by an IIR whitening filter whose coefficients are found by the Burg algorithm. For step time-variant delays, a dual mode operation scheme is adopted in which we define a normal operating (tracking) mode and an interrupt operating (optimization) mode. In the tracking mode, only a few coefficients of the impulse response vector are monitored through L₁-normed finite forward differences tracking, while in the optimization mode, the time delay optimized. Simulation results confirm the superiority of the proposed approach at low signal-to-noise ratios.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e88-a.4.978/_p

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@ARTICLE{e88-a_4_978,
author={Jonah GAMBA, Tetsuya SHIMAMURA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Equalizer-Aided Time Delay Tracking Based on L1-Normed Finite Differences},
year={2005},
volume={E88-A},
number={4},
pages={978-987},
abstract={This paper addresses the estimation of time delay between two spatially separated noisy signals by system identification modeling with the input and output corrupted by additive white Gaussian noise. The proposed method is based on a modified adaptive Butler-Cantoni equalizer that decouples noise variance estimation from channel estimation. The bias in time delay estimates that is induced by input noise is reduced by an IIR whitening filter whose coefficients are found by the Burg algorithm. For step time-variant delays, a dual mode operation scheme is adopted in which we define a normal operating (tracking) mode and an interrupt operating (optimization) mode. In the tracking mode, only a few coefficients of the impulse response vector are monitored through L₁-normed finite forward differences tracking, while in the optimization mode, the time delay optimized. Simulation results confirm the superiority of the proposed approach at low signal-to-noise ratios.},
keywords={},
doi={10.1093/ietfec/e88-a.4.978},
ISSN={},
month={April},}

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TY - JOUR
TI - Equalizer-Aided Time Delay Tracking Based on L1-Normed Finite Differences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 978
EP - 987
AU - Jonah GAMBA
AU - Tetsuya SHIMAMURA
PY - 2005
DO - 10.1093/ietfec/e88-a.4.978
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E88-A
IS - 4
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - April 2005
AB - This paper addresses the estimation of time delay between two spatially separated noisy signals by system identification modeling with the input and output corrupted by additive white Gaussian noise. The proposed method is based on a modified adaptive Butler-Cantoni equalizer that decouples noise variance estimation from channel estimation. The bias in time delay estimates that is induced by input noise is reduced by an IIR whitening filter whose coefficients are found by the Burg algorithm. For step time-variant delays, a dual mode operation scheme is adopted in which we define a normal operating (tracking) mode and an interrupt operating (optimization) mode. In the tracking mode, only a few coefficients of the impulse response vector are monitored through L₁-normed finite forward differences tracking, while in the optimization mode, the time delay optimized. Simulation results confirm the superiority of the proposed approach at low signal-to-noise ratios.
ER -