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We consider the problem of peak-to-average power ratio (PAPR) reduction fororthogonal frequency-division multiplexing (OFDM) based large-scalemultiple-input multipleoutput (MIMO) systems. A novel perturbation-assistedscheme is developed to reduce the PAPRs of the transmitted signals byexploiting the redundant degrees-of-freedom (DoFs) inherent in the large-scaleantenna array. Specifically, we introduce artificial perturbation signals tothe frequency-domain precoded signals, with the aim of reducing the PAPRs oftheir time-domain counterpart signals. Meanwhile, the additive perturbationsignal associated with each tone is constrained to lie in the null-space of itsassociated channel matrix, such that it does not cause any multi-user inferenceor out-of-band radiations. Such a problem is formulated as a convexoptimization problem, and an efficient algorithm is developed by resorting tothe variable splitting and alterative direction method of multipliers (ADMM)techniques. Simulation results show that the proposed method has a fastconvergence rate and achieves substantial PAPR reduction within only tens ofiterations. In addition, unlike other precoding-based PAPR reduction methods,our proposed method which introduces perturbation signals to the precodedsignals is independent of the precoding stage and thus could be more suitablefor practical systems.

Perturbation-Assisted PAPR Reduction for Large-Scale MIMO-OFDM Systems via ADMM