An algebraic principle in blind separation of single source signal

We study the blind separation problem of non-Gaussian source signals when there is only one desired signal to be recovered from its instantaneous mixtures with another source signals. Two sets of equations are built, both of which can be solved to blindly extract one non-Gaussian source signal. When there are n source signals, the number of equations in each equation sets is 3(n-1) that is much less than that for the separation of all source signals. The contribution of this paper lies in that it develops a principle for the design of blind single source separation algorithm.