Constant Modulus Blihtd Source Separation Technique: a New Approach

In this paper, we present a new approach for the blind source separation problem. Recently, several new techniques have emerged for the Multi-Input-Multi-Output (MIMO) blind identification problem [l, 2, 31 which is an important issue in communications. These techniques estimate the transfer function up to a constant matrix. The purpose of the source separation [4,5] consists of the estimation of such matrix and provides an estimate of the emitted signals. The proposed method estimates the mixing matrix by an Input-Output (IO) identification using as inputs a nonlinear version of the estimated sources. Herein, the nonlinear distortion consists of constraining the Modulus of the inputs of the IO-Identification device to a Constant. Hence the name of the proposed technique. This approach presents many benefits, i) Simple implementations (see below) ii) No ill convergence as indicated by simulations, but no proof is available yet. iii) Implementations are possible either in a block processing or in an adaptive fashion. The effectiveness of the proposed method is illustrated by some numerical simulations.