Blind Receivers based on Tensor Decompositions. Application in DS-CDMA and over-sampled systems

In this paper, we propose a survey on blind receivers based on tensor decompositions in block components. In the uplink, if the receiver is equipped with an antenna array, the spatial, temporal and CDMA code or over-sampling diversities allow to model the chip-rate sampled received signal as a third-order tensor. Each user´s contribution is then blindly estimated by decomposition of this tensor of observations. As we will show, different propagation scenarios require different tensor decompositions. We will then briefly address the algorithmic aspect to compute these tensor decompositions.