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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. The authors 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. They 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, they 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.
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