Distribution of PAPR in LOFDM systems based on extreme value theory

The extreme value theory and the assumption that lattice orthogonal frequency division multiplexing (LOFDM) signal converges weakly to a Gaussian random process are employed to derive peak-to-average-power ratio (PAPR) in LOFDM systems. Two complementary cumulative distribution functions (CCDF) of LOFDM system with equal and unequal subcarrier power allocation are given, respectively. Computer simulations have been conducted, to validate the analytical results, showing a very good match between the identified PAPR distribution and that of real LOFDM signals. Our theoretical analysis is confirmed by numerical simulations that the PAPR problem of LOFDM systems is more deteriorative than that of standard OFDM systems.

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