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The precoder design with covariance feedback for information and energy transmission systems

For the multi-input multi-output (MIMO) information and energy transmission system, the precoder design with only channel statistical information-channel covariance feedback is considered. Based on such a criterion in which the system information rate is maximized meanwhile satisfying the minimum energy requirement, the precoder design problem is formulated as a semi-definite programming (SDP), and further transformed to a dual problem. We propose a decent algorithm to solve this problem and demonstrate its convergence by computer simulations. Besides, the trade-off between the information and energy transmission, known as the boundary of the rate-energy (R-E) region, is also presented. Compared with the isotropic transmission, the R-E region with the proposed precoder is much broader.