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

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

Algorithm 4 Proposed ZF-based efficient decremental TAS selection algorithm.

\begin{array}{l} Inputs : H, Q_{2 K}^{}, N_{T}, N_{S} \\ 1 : H_{Q} = Q_{2 K}^{T} H_{}^{*} \\ 2 : {\tilde{H}}_{S^{'}} = [H H_{Q}] \\ 3 : {\tilde{V}}_{N_{T}} = {({\tilde{H}}_{S^{'}}^{} {\tilde{H}}_{S^{'}}^{H})}^{- 1} \\ 4 : for k = 1, 2, \dots, N_{T} - N_{S} \\ 5 : for q = 1, 2, \dots, (N_{T} - k + 1) \\ 6 : {\tilde{H}}_{k, q} = [H (:, q) H_{Q}^{} (:, q)] \\ 7 : {\tilde{Θ}}_{k, q} = {\tilde{V}}_{N_{T} - k + 1} {\tilde{H}}_{k, q} \\ 8 : λ_{k, q} = T r [{\tilde{Θ}}_{k, q} {(I_{2} - {\tilde{H}}_{k, q}^{H} {\tilde{Θ}}_{k, q})}^{- 1} {\tilde{Θ}}_{k, q}^{H}] \\ 9 : end \\ 10 : \hat{q} = \underset{q}{\arg \min} λ_{k, q} \\ 11 : {\tilde{V}}_{N_{T} - k + 2} = {\tilde{V}}_{N_{T} - 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} \\ 12 : H = H (:, [1 : (\hat{q} - 1) (\hat{q} + 1) : end]) \\ 13 : H_{Q} = H_{Q} (:, [1 : (\hat{q} - 1) (\hat{q} + 1) : end]) \\ 14 : end \\ 15 : H_{S} = H \\ Output : H_{S} \end{array}