Dynamic Bandwidth Variational Mode Decomposition

Signal decomposition techniques aim to break down non-stationary signals into their oscillatory components, serving as a preliminary step in various practical signal processing applications. This has motivated researchers to explore different strategies, yielding several distinct approaches. A well-known optimization-based method, the Variational Mode Decomposition (VMD), relies on the formulation of an optimization problem utilizing constant-bandwidth Wiener filters. However, this poses limitations in constant bandwidth and the need for constituent count. In this paper, the Dynamic Bandwidth VMD (DB-VMD) is proposed to generalize VMD by addressing the Wiener filter limitations through enhancement of the optimization problem with an additional constraint. Experiments in synthetic signals highlight DB-VMD's noise robustness and adaptability in comparison to VMD, paving the way for many applications, especially when the analyzed signals are contaminated with noise.