Efficient Transmit Antenna Subset Selection for Multiuser Space–Time Line Code Systems

. 2021 Apr 11;21(8):2690. doi: 10.3390/s21082690

Algorithm 2 SNR-based efficient incremental TAS selection algorithm.

\begin{array}{l} Inputs : H, Q_{2 K}^{}, N_{T}, N_{S}, K \\ 1 : H_{Q} = Q_{2 K}^{T} H_{}^{*} \\ 2 : {\tilde{V}}_{0} = I_{2 K} \\ 3 : for k = 1, 2, \dots, N_{S} \\ 4 : for q = 1, 2, \dots, (N_{T} - k + 1) \\ 5 : {\tilde{H}}_{k, q} = [H (:, q) H_{Q}^{} (:, q)] \\ 6 : {\tilde{Θ}}_{k, q} = {\tilde{V}}_{k - 1} {\tilde{H}}_{k, q} \\ 7 : λ_{k, q} = T r [{\tilde{V}}_{k - 1} - {\tilde{Θ}}_{k, q} {(I_{2} + {\tilde{H}}_{k, q}^{H} {\tilde{Θ}}_{k, q})}^{- 1} {\tilde{Θ}}_{k, q}^{H}] \\ 8 : end \\ 9 : \hat{q} = \underset{q}{\arg \min} λ_{k, q} \\ 10 : {\tilde{V}}_{k} = {\tilde{V}}_{k - 1} - {\tilde{Θ}}_{k, \hat{q}} {(I_{2} + {\tilde{H}}_{k, \hat{q}}^{H} {\tilde{Θ}}_{k, \hat{q}})}^{- 1} {\tilde{Θ}}_{k, \hat{q}}^{H} \\ 11 : H = H (:, [1 : (\hat{q} - 1) (\hat{q} + 1) : end]) \\ 12 : H_{Q} = H_{Q} (:, [1 : (\hat{q} - 1) (\hat{q} + 1) : end]) \\ 13 : end \\ 14 : H_{S} = H \\ Output : H_{S} \end{array}