An efficient algorithm for blind separation of multiple independent sources

In this paper an improved whitening scheme is first developed by estimating the signal subspace jointly from a set of diagonalization-structural matrices based on the proposed cyclic maximizer of an interesting cost function. Next, a biquadratic contrast function is proposed for extracting one single independent component from a slice matrix group of any order cumulant of the array signals in the presence of the spatially-temporally white noise. A fast fixed-point algorithm is constructed for searching a minimum point of the proposed contrast function. Then multiple independent components are obtained by using repeatedly the fixed point algorithm for extracting one single independent component, and the orthogonality among them is achieved by the well-known QR decomposition. The performance of the proposed algorithms is illustrated by simulation results and is compared with several representative blind source separation algorithms.