From: Low-complexity QL-QR decomposition- based beamforming design for two-way MIMO relay networks
Step | Operations | FLOPS | Case: (2,2,2)×6 |
---|---|---|---|
1 | \(\mathbf {U}^{a}_{i}\mathbf {\Sigma }^{a}_{i}\mathbf {\Lambda }^{aH}_{i}\) | \(32K(N_{T}\overline {N}^{2}_{i}+2\overline {N}^{3}_{i})\) | 21,504 |
2 | \(\left (\left (\mathbf {\Sigma }^{a}_{i}\right)^{\mathrm {T}}\mathbf {\Sigma }^{a}_{i}+\rho ^{2}\mathbf {I}\right)^{-1/2}\) | \( K\left (18N_{T}{N^{2}_{i}}-2{N^{2}_{i}}\right)\) | 336 |
3 | \(\mathbf {V}^{a}_{i}\mathbf {D}^{a}_{i}\) | \(8K{N^{3}_{T}}\) | 5184 |
4 | \(\mathbf {H}_{i}\mathbf {P}^{a}_{i}\) | \(K\left (8N_{T}{N^{2}_{i}}-2{N^{2}_{i}}\right)\) | 552 |
5 | \(\mathbf {U}^{b}_{i}\mathbf {\Sigma }^{b}_{i}\mathbf {V}^{bH}_{i}\) | \(64K\left (\frac {9}{8}{N^{3}_{i}}+N_{T}{N^{2}_{i}}+\frac {1}{2}{N^{2}_{T}}N_{i}\right)\) | 13,248 |
Total | Â | Â | 40,824 |