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Here we propose a linear precoding scheme for a single user multiple-input–multiple-output orthogonal frequency division multiplexing (OFDM) system to minimize PAPR (peak to average power ratio) by using some redundant spatial resources at the transmitter through a singular-value-decomposition-based generalized inverse system. The proposed precoder based on the generalized inverse is made of two parts, one for minimizing PAPR and the other for obtaining the multiplexing gain. Moreover, this proposed precoder contains a scalar parameter α that quantifies the received SNR (signal-to-noise) power ratio loss at the cost of PAPR reduction. Even in cases of small SNR loss, the proposed scheme will dramatically be reducing the PAPR. Furthermore, simulation results show that we can obtain a PAPR as close as 1 by using a few dozens of transmission antennas with small SNR loss.

Singular-Value-Decomposition Based Generalized Inverse Aided Method PAPR-Aware Linear Precoder Designing for MIMO Based OFDM System