Joint transceiver design for iterative FDE

In this paper linear precoder at the transmitter and iterative frequency domain equalizer (FDE) at the receiver are jointly designed to achieve the target quality-of-service (QoS) with minimum transmission power consumption. We first devise a semi-analytical tool that precisely tracks the performance evolution of the iterative process, and then provide a set of quality-of-convergence (QoC) constraints such that the target QoS can be achieved after iterations. We thus formulate the design problem as a joint QoS/QoC constrained power allocation problem, which is shown to be convex. Despite the widely adopted suboptimal solvers, we develop a specific IPM solver by revealing the underlying sparsity in the mathematical structure of the problem, which significantly reduces the computational cost, and keeps the performance advantages as well. Extensive simulation results are given to support the mathematical development of the problem.