Deterministic/cyclostationary signal separation using bootstrap

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Abstract

Cyclostationarity (CS) is relatively a new technique that offers diagnostic advantages for analysis of faults related to a studied system. The aim of this paper is to address the issue of separating the second-order cyclostationary (CS2) component from the first-order cyclostationary component (CS1) of a signal when low speed fluctuations exist. A bootstrap-based method called Generalized Seasonal Block Bootstrap (GSBB) is applied on walking signals coming from elderly in order to characterize walking in this population and possible age-related walking disturbance, in one hand, and to explore and analyze the influence of low speed fluctuations on the first and second orders cyclostationary properties of signals, on the other hand. Two GSBB-based indicators have also been proposed to characterize the quality of the CS1 and CS2 estimates.

Keywords

cyclostationarity
periodic structures
failure detection
bootstrap
angular resampling

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