Peak-to-average power ratio reduction in multiple-input multiple-output orthogonal frequency-division multiple access systems using geodesic descent method

In this study, the authors consider a peak-to-average power ratio (PAPR) reduction for orthogonal frequency-division multiplexing systems based on the decomposition of the set of subcarriers in subsets of subcarriers, denoted resource blocks, each one weighted by a different complex factor. They present a new iterative sphere-geodesic descent method for obtaining these weighting factors so as to minimise the PAPR of the transmitted signals. This method, which they term geodesic descent method, efficiently makes use of the Riemannian structure of the power constraint. The authors' performance results show that the proposed technique provides good trade-off between the PAPR reduction and the bit error rate performance, for both uncoded and coded scenarios.