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Transmitter Optimization and Beamforming Optimality Conditions for Double-Scattering MIMO Channels

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5 Author(s)
Xiao Li ; Nat. Mobile Commun. Res. Lab., Southeast Univ., Nanjing ; Shi Jin ; Xiqi Gao ; McKay, M.R.
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We investigate the capacity of a general class of MIMO channels, known as double-scattering channels. Our results assume perfect channel state information (CSI) at the receiver and statistical CSI at the transmitter. We first derive the optimal capacity-achieving signaling directions, and show that they correspond to the eigenvectors of the transmit spatial correlation matrix. We then derive new simple closed-form power allocation policies which are shown to yield negligible capacity loss compared with the optimal power allocation policy, without requiring complicated numerical optimization methods to compute. Finally we derive a necessary and sufficient condition for which a beamforming approach (i.e. rank-1 transmission) achieves the ergodic capacity.

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Wireless Communications, IEEE Transactions on  (Volume:7 ,  Issue: 9 )