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In this paper, the authors propose a general expression of the Peak-to-Average Power Ratio (PAPR) distribution in Orthogonal Frequency Division Multiplexing (OFDM) systems with unequal power allocation strategy, which is based on the extreme value theory for Chi-squared-2 process. The proposed general distribution of the PAPR depends on the number of the subcarriers, distribution of the power allocation and the amount of the total transmission power. To validate the analytical results, they conduct extensive experiments and the numerical results also show that the proposed distribution of the PAPR has a good agreement with that of OFDM systems with unequal power allocation strategy.
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