A new independent component analysis algorithm: Joint approximate diagonalization of simplified cumulant matrices

Abstract

This paper proposes a new algorithm to improve robustness, reliability and efficiency for blind signal separation with a different diagonal cumulant maximization criterion. It calculates a fraction of the fourth order cumulant set and avoids the eigenmatrix decomposition to considerably reduce the separation cost for large-scale problems. Experimental separation shows that the new algorithm is robust, reliable and efficient for both large and small-scale separation problems, thus has combined merits of the well-known JADE and Fast ICA algorithms. Mixed music and speech signal separation is presented in this paper.