From: Low-complexity QL-QR decomposition- based beamforming design for two-way MIMO relay networks
Step | Operations | FLOPS | Case: (2,2,2)×6 |
---|---|---|---|
1 | V 1,V 2 | \(2\times K\left (40{N_{i}^{3}}-24{N^{2}_{i}}+17N_{i}\right)\) | 1560 |
2 | Q L,1 L 1,Q L,2 L 2 | \(2\times 16K\left ({N^{2}_{T}}N_{i}-N_{T}{N^{2}_{i}}+\frac {1}{3}{N^{3}_{i}}\right)\) | 4864 |
3 | Q R,1 R 1,Q R,2 R 2 | \(2\times 16K\left ({N^{2}_{T}}N_{i}-N_{T}{N^{2}_{i}}+\frac {1}{3}{N^{3}_{i}}\right)\) | 4864 |
4 | \(\mathbf {H}^{\mathrm {T}}_{1,1}\mathbf {F}_{1}\mathbf {H}_{1,2}\) | \(8{N^{2}_{T}}N_{i}+4N_{T}{N^{2}_{i}}+2N_{T}N_{i}\) | 696 |
5 | \(\mathbf {H}^{\mathrm {T}}_{2,1}\mathbf {F}_{2}\mathbf {H}_{2,2}\) | \(8{N^{2}_{T}}N_{i}+4N_{T}{N^{2}_{i}}+2N_{T}N_{i}\) | 696 |
6 | \(\mathbf {\widehat {C}}_{1}\) | \(2K\left (32{N^{2}_{T}}N_{i}+8N_{T}N_{i} +2{N^{2}_{T}}-4N_{i}+3N_{T}\right)\) | 14,856 |
7 | \(\left (\mathbf {\Xi }^{\mathrm {H}}_{i}\mathbf {\Xi }_{i}\right)^{-1}\) | \(K\left (\frac {14}{3}{N^{3}_{T}}-2{N^{2}_{T}}+N_{T}\right)\) | 2826 |
8 | \(\text {det}\mathbf {B}^{2}_{1}\) | \(4K\left ({N^{3}_{T}}+{N^{2}_{T}}+2N_{T}\right)\) | 3168 |
Total | Â | Â | 33,530 |