The capacity-maximizing BD-RIS reflection matrix is Θ = V_F V_G^H, pairing the singular-value directions of the two channel matrices in order of strength.
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Capacity Maximization for MIMO Channels Assisted by Beyond-Diagonal RIS
The capacity-maximizing BD-RIS reflection matrix is Θ = V_F V_G^H, pairing the singular-value directions of the two channel matrices in order of strength.