OFDM peak-to-average power ratio reduction based on the simplex code

A new scheme for peak-to-average power ratio reduction in OFDM systems is proposed which combines the principles of multiple signal representation with selection (as done in selected mapping) and the use of channel coding. Thereby, in contrast to existing approaches, the code is arranged over a number of OFDM frames rather than over the carriers. Given the initial OFDM frames all linear combinations thereof are generated; from that the best are selected. The corresponding generator matrix is identical to that of the Simplex code. Specifically, we consider multi-antenna transmission, where the proposed scheme does not cause any additional delay, but utilize the dimension space adequately. The scheme is very flexible; due to the selection step any criterion of optimality can be taken into account. Performance is derived analytically and is covered by numerical results which are in very good agreement with theory.