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Step 5: Decode the data symbols of STBC layer from the new modified received matrix with STBC 2 × N decoder.
The received matrix, under (mathcal {H}_{0}) hypothesis, is then written as mathbf{Y} = boldsymbol{Sigma}_{K}^{1/2}boldsymbol{G}, (28).
Step 5: Decode the data symbols of STBC layer from the new modified received matrix with STBC 2 × (M − 1) decoder.
Applying this postprocessing matrix to the received matrix yields Y k = G U k Λ k 1 2 γ k D k + G N k, k = 1, 2, …, K (10).
In Step 5, it decodes the data symbols of the STBC layer from the new modified received matrix s with STBC 2 × N decoder, it requires 4 N multiplications, N + 2(N − 1) additions and N subtractions.
d ^ k i, denotes the i th estimated symbol of the k th user, y k i j, designates the element in the i th row and j th column of the received matrix of the k th user.
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The receive matrix G u,i then reduces to the vector G u,i.
Using the matrix notation, it is useful to consider the form of a receive matrix FRx given a transmit matrix.
Therefore, since the scheme does not allow any interference to be created, no row operations on the receive matrix is required and conditions C.2 and C.3 are satisfied.
We note that two 1s in the same column of a receive matrix represent the same signals and the same channel gains.
where F R k ∈ ℂ M R × r k is the RN MIMO precoding matrix corresponding to the k-th UT and D k ∈ ℂ r k × M U k is the k th UT MIMO receive matrix.
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