In general, the elements of the received vector r = r(i) in (27) have different signal-to-interference plus noise ratios (SINRs).
The coefficients of the corresponding AF are calculated by the singular value decomposition (SVD) of a matrix whose elements are built from second-order cross moments across the receiving antenna elements of the received samples.
The elements of the received matrix are combined to get the estimates of the transmitted symbols as given below d ^ k 1 = y k 31 + y k 42 * ; d ^ k 2 = y k 41 - y k 32 * ; d ^ k 3 = y k 11 ; d ^ k 4 = y k 21 ; d ^ k 5 = y k 12 * ; d ^ k 6 = y k 22 * ; (12).
From (10), each element of the TD received symbols (carrying pilots and data), after CP extraction, can be expressed by (13).
It is obvious that the roots of det, which are also the roots of (39), are only the spurious roots arising from the sparseness of the array elements and independent of the received data.
where a i is associated to the channel coefficients of the diffuse component (Rayleigh channel) for antenna-element i, Ω is the power of the received signal, K is the Rician factor, F d and γ d, are respectively, the Doppler frequency and Doppler angle.
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The mobile user equipments (UEs) have multiple antenna elements which allow maximal ratio combining of the received signals.
Each element x i 1, …, i N of the received signal tensor is equal to the sum of R components, each component r resulting from the combination of N resources, each resource being associated with a column of the matrix factor A(n), n=1,…,N.
