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

Keqiang Dong, Linan Long, Hong Zhang and Xieyang Su

Physica A: Statistical Mechanics and its Applications, 2019, vol. 525, issue C, 1080-1087

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.

Keywords: Lempel–Ziv measure; Pedigree map; Complexity; Aero-engine gas path system (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:525:y:2019:i:c:p:1080-1087

DOI: 10.1016/j.physa.2019.04.027

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