The p-Sphere Encoder: Vector Precoding With Low Peak-Power For the MIMO Gaussian Broadcast Channel

In [1] a vector perturbation scheme is used in order to minimize the instantaneous power of the transmitted signal, without taking into account the peak to average power ratio problem. In this paper we present a modified vector perturbation scheme, where the perturbation vector is chosen in order to take into account the peak power of the transmitted signal. This is obtained by minimizing the p-norm of the transmitted signal, for p ≥ 2. For this reason, the scheme is referred to as the p-sphere encoder. We show that the proposed algorithm significantly reduces the tail of the PAPR distribution with very small degradation in terms of BER with respect to [1].