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Table 2 Computational complexity of QR/SVD-BD [22]

From: Lattice reduction aided with block diagonalization for multiuser MIMO systems

Steps

Operations

Flops

Case

1

H = QR

\( 16K\left({N}_T^2{N}_i+{N}_T{N}_i^2+1/3{N}_i^3\right) \)

12544

2

H eff  = HW

\( 8{N}_R{N}_T^2 \)

1728

3

\( {\mathbf{H}}_{i, eff}={\mathbf{U}}_i{\boldsymbol{\Lambda}}_i{\mathbf{V}}_i^H \)

\( 64\left(9/8{N}_i^3+{N}_T{N}_i^2+1/2{N}_i^2{N}_i\right) \)

13248