Closed-Form Channel Estimation for MIMO Space-Time Coded Systems Using a Fourth-Order Tensor-Based Receiver

摘要

In this short paper, a new tensor-based receiver based on the fourth-order PARATUCK2 model combined with a structured PARAFAC model is formulated to solve the problem of channel estimation in a MIMO system. The proposed receiver is based on a modified space-time coding scheme that incorporates a formatting filter. Such a formatting filter is formed by a precoding matrix and a mapping matrix that load the coded signals to transmit antennas. The proposed receiver is divided into two steps. In the first step, closed-form channel estimation is performed by means of Kronecker and Khatri-Rao factorizations that rely on the singular value decomposition and the eigenvalue decomposition, respectively. In the second step, the transmitted symbols are linearly decoded from the estimated channel by exploiting the proposed space-time coding structure. Simulation results are presented to evaluate the performance of our tensor-based receiver in terms of NMSE and BER, demonstrating an improved performance compared to competing schemes.