Institute of Electrical & Electronic Engineers
The authors address joint design of robust pre-coder and equalizer in a MIMO communication system using the minimization of weighted sum of mean square errors. In addition to imperfect knowledge of channel state information, they also account for inaccurate awareness of interference plus noise covariance matrix and power shaping matrix. They follow the worst-case model for imperfect knowledge of these matrices. First, they derive the worst-case values of these matrices. Then, they transform the joint pre-coder and equalizer optimization problem into a convex scalar optimization problem. Further, the solution to this problem will be simplified to a depressed quartic equation, the closed-form expressions for roots of which are known.