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The Lempel–Ziv measure based pedigree map to detect and evaluate correlation between aero-engine gas path system variables

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  • Dong, Keqiang
  • Long, Linan
  • Zhang, Hong
  • Su, Xieyang

Abstract

There is a great interest in studying complexity of the aero-engine gas path time series. This paper presents a Lempel–Ziv complexity measure for analysis of aero-engine gas path system signals. By applying a binary Lempel–Ziv measure to define the absolute distance between two non-null numerical sequences, the pedigree map of systemic clustering is constructed to provide a metric for the number of distinct deterministic patterns. And then, we propose a ternary Lempel–Ziv measure, improving on the binary Lempel–Ziv measure, and making it more suited for the analysis of aero-engine gas path time series. The results indicate that the maps, demonstrating the relationship between parameters, based on ternary Lempel–Ziv measure are more vivid than the map based on binary Lempel–Ziv measure.

Suggested Citation

  • Dong, Keqiang & Long, Linan & Zhang, Hong & Su, Xieyang, 2019. "The Lempel–Ziv measure based pedigree map to detect and evaluate correlation between aero-engine gas path system variables," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 525(C), pages 1080-1087.
    • Handle: RePEc:eee:phsmap:v:525:y:2019:i:c:p:1080-1087
    DOI: 10.1016/j.physa.2019.04.027
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    References listed on IDEAS

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    1. Dong, Keqiang & Zhang, Hong & Gao, You, 2017. "Dynamical mechanism in aero-engine gas path system using minimum spanning tree and detrended cross-correlation analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 465(C), pages 363-369.
    2. B. Podobnik & I. Grosse & D. Horvatić & S. Ilic & P. Ch. Ivanov & H. E. Stanley, 2009. "Quantifying cross-correlations using local and global detrending approaches," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 71(2), pages 243-250, September.
    3. Zhao, Xiaojun & Shang, Pengjian & Lin, Aijing & Chen, Gang, 2011. "Multifractal Fourier detrended cross-correlation analysis of traffic signals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(21), pages 3670-3678.
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