Frame-Theoretic Approach for Peak-to-Average Power-Ratio Reduction in OFDM

A new method for reducing the peak-to average power ratio (PAPR) in orthogonal frequency-division multiplexing is proposed. The new method, called erasure pattern selection (EPS), is based on the use of frame expansion for adding redundancy to the data. Part of the redundancy is removed by examining several patterns for erasing subcarriers, and selecting the pattern that produces the lowest PAPR for transmission. The residual redundancy in the data is exploited at the receiver to aid both the reconstruction of the erased data and correction of errors. The implementation is aided with the incorporation of a projection-onto-convex-sets (POCS) method in EPS, in order to select and assign the best values to the unused subcarriers and further reduce the PAPR. Complexity analysis and simulation results show that the POCS-based EPS method outperforms existing probabilistic methods, while requiring lower overall complexity.