Tensor-Based Multiuser Detection in Cooperative Multirelay Uplink
In this paper, four tensor-based receivers for a multiuser multirelay cooperative uplink are proposed, with the relays employ the amplify-and-forward (AF) protocol and a time-spread coding. Two different scenarios are considered regarding the multiuser interference at the relays. When multiuser interference at the relays is ignored, a quadrilinear PARAFAC model is adopted for the received signals. Otherwise, a new tensor model called Nested PARAFAC-Tucker decomposition (NPT1D) is used to represent the received signals. The proposed receivers jointly estimate the transmitted symbols, channel gains and spatial signatures, two of them being based on the Alternating Least Squares (ALS) algorithm and two of them using the non-iterative Least Squares Khatri-Rao Factorization (LS-KRF) method. Uniqueness is discussed and simulation results are provided to illustrate the performance of the proposed techniques.
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