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Study on Data Compression and Reduction of the Aviation Network Based on Multi-resolution Wavelet Analysis

Received: 19 April 2015    Accepted: 29 June 2015    Published: 14 July 2015
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Abstract

This paper proposes complex network data compression idea based on the multi-resolution wavelet decomposition theory, analyzes the concrete form of wavelet basis choice and wavelet decomposition, and then puts forward the determination method of network decomposition levels and parameters reduction method after decomposition. The empirical study shows that four-level wavelet decomposition for Chinese aviation network adjacency matrix is carried out by Haar wavelet basis, and the lowest frequency sub-band is matrix. Moreover, the average degree, the average shortest path length and clustering coefficient of original network are restored in the lowest frequency sub-band after decomposition.

Published in Journal of Electrical and Electronic Engineering (Volume 3, Issue 4)
DOI 10.11648/j.jeee.20150304.12
Page(s) 70-75
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), 2024. Published by Science Publishing Group

Keywords

Aviation Network, Multi-resolution Wavelet Decomposition, Complex Network, Data Compression and Reduction

References
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[8] Liu Hongkun. The structure of Chinese aviation network and analysis of its influencing factor [D]. Chengdu:Southwest Jiao Tong University, 2007
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  • APA Style

    Yao Hong Guang. (2015). Study on Data Compression and Reduction of the Aviation Network Based on Multi-resolution Wavelet Analysis. Journal of Electrical and Electronic Engineering, 3(4), 70-75. https://doi.org/10.11648/j.jeee.20150304.12

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    ACS Style

    Yao Hong Guang. Study on Data Compression and Reduction of the Aviation Network Based on Multi-resolution Wavelet Analysis. J. Electr. Electron. Eng. 2015, 3(4), 70-75. doi: 10.11648/j.jeee.20150304.12

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    AMA Style

    Yao Hong Guang. Study on Data Compression and Reduction of the Aviation Network Based on Multi-resolution Wavelet Analysis. J Electr Electron Eng. 2015;3(4):70-75. doi: 10.11648/j.jeee.20150304.12

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  • @article{10.11648/j.jeee.20150304.12,
      author = {Yao Hong Guang},
      title = {Study on Data Compression and Reduction of the Aviation Network Based on Multi-resolution Wavelet Analysis},
      journal = {Journal of Electrical and Electronic Engineering},
      volume = {3},
      number = {4},
      pages = {70-75},
      doi = {10.11648/j.jeee.20150304.12},
      url = {https://doi.org/10.11648/j.jeee.20150304.12},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.jeee.20150304.12},
      abstract = {This paper proposes complex network data compression idea based on the multi-resolution wavelet decomposition theory, analyzes the concrete form of wavelet basis choice and wavelet decomposition, and then puts forward the determination method of network decomposition levels and parameters reduction method after decomposition. The empirical study shows that four-level wavelet decomposition for Chinese aviation network adjacency matrix is carried out by Haar wavelet basis, and the lowest frequency sub-band is   matrix. Moreover, the average degree, the average shortest path length and clustering coefficient of original network are restored in the lowest frequency sub-band after decomposition.},
     year = {2015}
    }
    

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    Y1  - 2015/07/14
    PY  - 2015
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    JF  - Journal of Electrical and Electronic Engineering
    JO  - Journal of Electrical and Electronic Engineering
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    AB  - This paper proposes complex network data compression idea based on the multi-resolution wavelet decomposition theory, analyzes the concrete form of wavelet basis choice and wavelet decomposition, and then puts forward the determination method of network decomposition levels and parameters reduction method after decomposition. The empirical study shows that four-level wavelet decomposition for Chinese aviation network adjacency matrix is carried out by Haar wavelet basis, and the lowest frequency sub-band is   matrix. Moreover, the average degree, the average shortest path length and clustering coefficient of original network are restored in the lowest frequency sub-band after decomposition.
    VL  - 3
    IS  - 4
    ER  - 

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Author Information
  • School of Air Transportation / Flying, Shanghai University of Engineering and Science, Shanghai, China

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