An Underdetermined Blind Source Separation Algorithm Based on Variational Mode Decomposition

Abstract

By seeking the optimal solution, the modal component and frequency center of the variational modal functions are determined, and the separation of the modal function is realized. This method effectively solves the modal aliasing problem of intrinsic mode functions in empirical mode decomposition. Based on this, Variational Mode Decomposition algorithm is applied to the problem of underdetermined blind source separation. The decomposed variational modal components are extracted in multiple Sequential Extractions to convert the underdetermined problem into a positive definite problem. Then the Independent Component Analysis algorithm is used to separate the source signal. Simulation results show that this method can effectively separate the mixed image information.