LMI based design of optimal precoder for MIMO channels with erasures

This paper is concerned with the design of optimal linear precoder for MIMO communication systems with channel erasures. The erasures are modeled as Bernoulli process with known probability distribution and are incorporated explicitly in design formulation. The linear correlating transform precoding and redundant multiple channels are used to enhance the robustness to erasures, and the linear minimum mean square error (MMSE) estimation is used to reconstruct the source signal at the receiver end. The design of optimal precoder is formulated as minimizing the expected value of estimation distortion, and the solution is obtained by converting the nonconvex optimization problem into a convex optimization problem subject to linear matrix inequality (LMI) constraints. Numerical examples demonstrate the effectiveness and advantage of the obtained solution in enhancing the robustness to channel erasures.