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

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. (C) 2019 Elsevier B.V. All rights reserved.