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Time-frequency analysis (TFA) techniques play an increasingly important rolein the field of machine fault diagnosis attributing to their superiority indealing with nonstationary signals. Synchroextracting transform (SET) andtransient-extracting transform (TET) are two newly emerging techniques that canproduce energy concentrated representation for nonstationary signals. However,SET and TET are only suitable for processing harmonic signals and impulsivesignals, respectively. This poses a challenge for each of these two techniqueswhen a signal contains both harmonic and impulsive components. In this paper,we propose a new TFA technique to solve this problem. The technique aims tocombine the advantages of SET and TET to generate energy concentratedrepresentations for both harmonic and impulsive components of the signal.Furthermore, we theoretically demonstrate that the proposed technique retainsthe signal reconstruction capability. The effectiveness of the proposedtechnique is verified using numerical and real-world signals.

Synchro-Transient-Extracting Transform for the Analysis of Signals with Both Harmonic and Impulsive Components