Bit-Error-Rate Performance of Companding Transforms for OFDM

This paper provides a comprehensive analytical framework to assess the relative bit-error-rate (BER) performance of companding transforms (CTs) employed to reduce the peak-to-average-power ratio (PAPR) in orthogonal frequency-division multiplexing (OFDM) systems. This paper provides a quantitative basis for several claims, which are reported in the literature, based solely on simulation results. In particular, we consider three main classes of CTs and provide a set of necessary and sufficient conditions for the superiority of one CT relative to the others. The conditions are given in terms of the companding parameters, which are usually selected to achieve a target PAPR. Our analytical derivations are supported by simulation results.