Blind constrained block-Tucker2 receiver for multiuser SIMO NL-CDMA communication systems

In this paper, we propose a deterministic tensor-based approach for joint channel and symbol estimation in the context of multiuser single-input multi-output (SIMO) CDMA communication systems. We use a new nonlinear (NL) coding allowing to obtain a third-order block-Tucker2 model for the signals received by multiple receive antennas, with a constrained structure for the core tensors that ensures the uniqueness of the tensor model. Assuming that the users' code matrices are mutually orthogonal and known at the receiver, we derive a blind algorithm composed of two steps: a separation of users' contributions in the received signals, with decoding, followed by a blind channel and symbol estimation for each user separately. Some simulation results are provided to illustrate the performance of the proposed blind receiver.