“…Especially in the case of low signal-to-noise ratio, the noise effect is worse. Therefore, researchers have proposed set empirical Mode decomposition (EEMD), improved Complete set Empirical Mode decomposition (ICEEMD) and partial set empirical Mode decomposition (PEEMD) to improve the modal mixing phenomenon to a certain extent, but they are based on empiricism and lack of mathematical basis ( Kopsinis and Mclaughlin, 2009 ; Wu and Huang, 2011 ; Rezaee and Osguei, 2016 ; Jia et al., 2021 ). In 2014, Dragomiretski and Zosso proposed Variational Mode Decomposition (VMD), which is based on three-dimensional variational constraint theory and uses non-recursive properties to simultaneously estimate multiple modes ( Dragomiretskiy and Zosso, 2014 ; Yang et al., 2020 ; Li et al., 2018a , Li et al., 2018b ; Wang et al., 2021 ).…”