Evaluation of the Efficiency of Blind Signal Separation in the Problem of Detecting BPSK Signals

摘要

This paper investigates the effectiveness of the blind signal separation algorithm in the problem of detecting digital BPSK signals. The classical methods of blind separation of signals and criteria for signal independence are considered. A model of the studied algorithm for blind signal separation is shown, based on the calculation of a mixing matrix that brings the joint cumulants of the second and fourth orders to zero. To exclude a trivial solution, additional restrictions are imposed on signal dispersions. A system of equations for finding the mixing matrix coefficients is presented. The form of the coefficients of the mixing matrix is shown, which brings the signals to an uncorrelated form. The possibility of an analytical solution of the equation associated with the equality of the joint fourth-order cumulant to zero is shown. A model of modulation and detection of digital signals is described. The simulation result of the blind signal separation algorithm is presented graphically. The efficiency of the proposed algorithm is shown.