General Closed-Form Family of Companders for PAPR Reduction in OFDM Signals Using Amplitude Distribution Modification

In this paper, we characterize a family of closed-form companders for peak-to-average power ratio (PAPR) reduction in orthogonal frequency-division multiplexing (OFDM) signals. This new family generalizes the current state-of-the-art companders that are based on modification of the OFDM signal amplitude statistics. We derive the compander and decompander forms for a specific, parameterized member of this family. The larger parameter set characterizing these new companders provides greater design flexibility. The new companders are shown to provide solutions over regions of the operating conditions space where other current companders fail to exist. These new solutions thus widen the application of companders for PAPR reduction, and expand the trade-space over demodulation performance, PAPR reduction, and out-of-band power rejection for compander design. Through numerical result generation and simulation, we generate performance results to show that the new companders offer performance improvements over current companders.