BroadBand-Adaptive VMD with Flattest Response

A mixed signal with several unknown modes is common in the industry and hard to decompose. Variational Mode Decomposition (VMD) was proposed decompose a into amplitude-modulated 2014, which overcame limitations of Empirical (EMD), such as sensitivity noise sampling. We propose an improved VMD, simplified iVMD. In new algorithm, we further study improve mathematical model VMD adapt decomposition broad-band modes. model, ideal flattest response applied, derived from integral form obtained different-order derivatives modes’ definitions. The harmonics can be treated via synthesis our model. iVMD algorithm complex harmonic optimized alternate direction method multipliers, adaptive their respective center frequencies decomposed. experimental results show that effective based on artificial real data collected experiments.