Adaptive weighted orthogonal constrained algorithm for blind source separation

Blind source separation (BSS) consists of recovering the statistically independent source signals from their linear mixtures without knowing the mixing coefficients. Pre-whitening is a useful pre-processing technique in BSS. However, BSS algorithms based on the pre-whitened data lack the equivariance property, one of the significant properties in BSS. By transforming the pre-whitening into a weighted orthogonal constraint condition, this paper proposes a new definition of the contrast function. In light of the constrained optimization method, various weighted orthogonal constrained BSS algorithms with equivariance property are developed. Simulations on man-made signals and practical speech signals show the proposed weighted orthogonal constrained BSS algorithms have better separation ability, convergent speed and steady state performance.

► A new definition of contrast for BSS with weighted orthogonal constraint is proposed.
► Various of weighted orthogonal constrained BSS algorithms with equivariance property are developed in light of the constrained optimization method.
► The proposed weighted orthogonal constrained BSS algorithms have better separation ability, convergent speed and steady state performance.