Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion

Wenhong Liu; Junhao Li; Niansheng Chen; Guangyu Fan

doi:doi:10.11648/j.jeee.20170502.16

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Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion

Wenhong Liu, Junhao Li, Niansheng Chen, Guangyu Fan

Published in Journal of Electrical and Electronic Engineering (Volume 5, Issue 2)

Received: 6 February 2017 Accepted: 24 March 2017 Published: 10 April 2017

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Abstract

Accurate measurement of arrival time difference is one of the key technologies in many areas, such as the global positioning system. Due to the effects of environmental noises around receiver, the classic methods under least mean-square error rule are the lack of robustness. In this paper, a robust method of the time difference detection is addressed based on the minimum maximum entropy, referred to MMEATD. The maximum entropy function used in this method is a smooth approximation of the L1 norm. It has robustness to large outliers, but also is differentiable. Under the minimum maximum entropy criterion, the adaptive filter weight vector will be convergence, and its peak position indicates the arrival time difference. The computer simulation experiments show the estimation performance of this algorithm under different signal and noise ratio or different impulsive noise intension. Meanwhile, its estimation performance is compared with minimum mean square error algorithm. Results show that the proposed method has a good robustness under the impulsive noise environment.

Published in	Journal of Electrical and Electronic Engineering (Volume 5, Issue 2)
DOI	10.11648/j.jeee.20170502.16
Page(s)	63-67
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2017. Published by Science Publishing Group

Keywords

Time Difference Detection, Impulsive Noises, Robustness, Minimum Maximum Entropy, Adaptive Filter

References

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[10]	Chao Tang, Dexin Cao, Yanjiang Wu. Linear L1 minimization problem of the entropy function continuation method. Journal of Applied Mathematics and Computational Mathematics, 2006, 20 (1): 99-102.
[11]	Wenhong Liu, Yuanyuan Wang, Bin Wang. The minimum maximum entropy under impulse noise adaptive time delay estimation. Journal of instruments and meters, 2008, 29 supplement IV (4): 519-522.
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Wenhong Liu, Junhao Li, Niansheng Chen, Guangyu Fan. (2017). Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion. Journal of Electrical and Electronic Engineering, 5(2), 63-67. https://doi.org/10.11648/j.jeee.20170502.16

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ACS Style

Wenhong Liu; Junhao Li; Niansheng Chen; Guangyu Fan. Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion. J. Electr. Electron. Eng. 2017, 5(2), 63-67. doi: 10.11648/j.jeee.20170502.16

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AMA Style

Wenhong Liu, Junhao Li, Niansheng Chen, Guangyu Fan. Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion. J Electr Electron Eng. 2017;5(2):63-67. doi: 10.11648/j.jeee.20170502.16

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@article{10.11648/j.jeee.20170502.16,
  author = {Wenhong Liu and Junhao Li and Niansheng Chen and Guangyu Fan},
  title = {Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {5},
  number = {2},
  pages = {63-67},
  doi = {10.11648/j.jeee.20170502.16},
  url = {https://doi.org/10.11648/j.jeee.20170502.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20170502.16},
  abstract = {Accurate measurement of arrival time difference is one of the key technologies in many areas, such as the global positioning system. Due to the effects of environmental noises around receiver, the classic methods under least mean-square error rule are the lack of robustness. In this paper, a robust method of the time difference detection is addressed based on the minimum maximum entropy, referred to MMEATD. The maximum entropy function used in this method is a smooth approximation of the L1 norm. It has robustness to large outliers, but also is differentiable. Under the minimum maximum entropy criterion, the adaptive filter weight vector will be convergence, and its peak position indicates the arrival time difference. The computer simulation experiments show the estimation performance of this algorithm under different signal and noise ratio or different impulsive noise intension. Meanwhile, its estimation performance is compared with minimum mean square error algorithm. Results show that the proposed method has a good robustness under the impulsive noise environment.},
 year = {2017}
}

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TY - JOUR
T1 - Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion
AU - Wenhong Liu
AU - Junhao Li
AU - Niansheng Chen
AU - Guangyu Fan
Y1 - 2017/04/10
PY - 2017
N1 - https://doi.org/10.11648/j.jeee.20170502.16
DO - 10.11648/j.jeee.20170502.16
T2 - Journal of Electrical and Electronic Engineering
JF - Journal of Electrical and Electronic Engineering
JO - Journal of Electrical and Electronic Engineering
SP - 63
EP - 67
PB - Science Publishing Group
SN - 2329-1605
UR - https://doi.org/10.11648/j.jeee.20170502.16
AB - Accurate measurement of arrival time difference is one of the key technologies in many areas, such as the global positioning system. Due to the effects of environmental noises around receiver, the classic methods under least mean-square error rule are the lack of robustness. In this paper, a robust method of the time difference detection is addressed based on the minimum maximum entropy, referred to MMEATD. The maximum entropy function used in this method is a smooth approximation of the L1 norm. It has robustness to large outliers, but also is differentiable. Under the minimum maximum entropy criterion, the adaptive filter weight vector will be convergence, and its peak position indicates the arrival time difference. The computer simulation experiments show the estimation performance of this algorithm under different signal and noise ratio or different impulsive noise intension. Meanwhile, its estimation performance is compared with minimum mean square error algorithm. Results show that the proposed method has a good robustness under the impulsive noise environment.
VL - 5
IS - 2
ER -

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Author Information

Wenhong Liu

School of Electronic and Information, Shanghai Dianji University, Shanghai, China
Junhao Li

School of Electrical Engineering, Shanghai Dianji University, Shanghai, China
Niansheng Chen

School of Electronic and Information, Shanghai Dianji University, Shanghai, China
Guangyu Fan

School of Electronic and Information, Shanghai Dianji University, Shanghai, China

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APA Style

Wenhong Liu, Junhao Li, Niansheng Chen, Guangyu Fan. (2017). Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion. Journal of Electrical and Electronic Engineering, 5(2), 63-67. https://doi.org/10.11648/j.jeee.20170502.16

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ACS Style

Wenhong Liu; Junhao Li; Niansheng Chen; Guangyu Fan. Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion. J. Electr. Electron. Eng. 2017, 5(2), 63-67. doi: 10.11648/j.jeee.20170502.16

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AMA Style

Wenhong Liu, Junhao Li, Niansheng Chen, Guangyu Fan. Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion. J Electr Electron Eng. 2017;5(2):63-67. doi: 10.11648/j.jeee.20170502.16

Copy | Download

@article{10.11648/j.jeee.20170502.16,
  author = {Wenhong Liu and Junhao Li and Niansheng Chen and Guangyu Fan},
  title = {Robust Detection Method of Arrival Time Difference Under Minimum Maximum Entropy Criterion},
  journal = {Journal of Electrical and Electronic Engineering},
  volume = {5},
  number = {2},
  pages = {63-67},
  doi = {10.11648/j.jeee.20170502.16},
  url = {https://doi.org/10.11648/j.jeee.20170502.16},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20170502.16},
  abstract = {Accurate measurement of arrival time difference is one of the key technologies in many areas, such as the global positioning system. Due to the effects of environmental noises around receiver, the classic methods under least mean-square error rule are the lack of robustness. In this paper, a robust method of the time difference detection is addressed based on the minimum maximum entropy, referred to MMEATD. The maximum entropy function used in this method is a smooth approximation of the L1 norm. It has robustness to large outliers, but also is differentiable. Under the minimum maximum entropy criterion, the adaptive filter weight vector will be convergence, and its peak position indicates the arrival time difference. The computer simulation experiments show the estimation performance of this algorithm under different signal and noise ratio or different impulsive noise intension. Meanwhile, its estimation performance is compared with minimum mean square error algorithm. Results show that the proposed method has a good robustness under the impulsive noise environment.},
 year = {2017}
}

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