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In this paper, we introduce a tensor-factorization method for signal detection in MIMO applications. We address the detection problem through a 3-way tensor analysis. We represent the 4times4 MIMO received signals as a third-order tensor with modes: receiver antennas, user data symbols at each packet, and finally number of packets. Then, we demonstrate that by multi-way analysis using PARAFAC2 we can successfully solve the blind MIMO signal detection problem. In order to solve the permutation and scaling ambiguities of the detected signals we used different M-Sequence training symbols are used. For evaluating the method we compared our BER results with those of MMSE-VBLAST signal detection method.