A tensor-based blind ds-cdma receiver using simultaneous matrix diagonalization

In this paper, we consider the problem of blind separation of DS-CDMA signals, from convolutive mixtures received by an antenna array. We suppose that multi-path reflections occur in the far-field of this array and that intersymbol-interference is caused by large delay spread. Our receiver is deterministic and relies on a third-order tensor decomposition, called decomposition in rank-(L,L,1) terms, which is a generalization of the well-known Parallel Factor (PARAFAC) decomposition. The technique we propose to calculate this decomposition is based on simultaneous matrix diagonalization, which is more accurate than the standard alternating least squares (ALS) algorithm and also allows to blindly identify more users than previously stated.