Uniqueness Condition for Nonunitary Joint Diagonalization

摘要

Joint Diagonalization(JD) of a set of matrices is a potential tool in signal processing area. The uniqueness condition for Non-unitary Joint Diagonalization(NJD) is deduced in this paper, which serve as a mathematical foundation for the application of NJD. The uniqueness of NJD is that the vectors consisting of diagonal elements in the same position of diagonal matrix are pairwise linearly independent. Numerical simulations confirm the conclusion in this paper.