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

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

Algorithm 3 SNR-based decremental TAS selection algorithm.

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