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