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Table 1 An iterative algorithm to derive b and v

From: Joint source and relay precoding for generally correlated MIMO with full and partial CSIT

Compute Λ 1,Λ 2 using (7) and (8)

Initialize \( \mathbf {b} = \frac {p_{1}}{M}\mathbf {I}_{M} \) satisfying (27)

Repeat

1)

For a given b, find v using (31) and (32).

 

Compute \( \mathcal {I}(\mathbf {b},\mathbf {v})^{(old)}. \)

2)

For the obtained v, find b using (33) and (34).

 

Compute \( \mathcal {I}(\mathbf {b},\mathbf {v})^{(new)}. \)

Until \( \mathcal {I}(\mathbf {b},\mathbf {v})^{(new)} \!- \mathcal {I}(\mathbf {b}, \mathbf {v})^{(old)}\! \leq \! \epsilon. \) Here ε > 0 denotes a desired accuracy.