Modeling papr of MC-CDMA by generalized extreme value distribution

Abstract

The generalized extreme value (GEV) distribution is suitable for modeling the extreme events, such as the maximum value of an asymptotic distribution. This paper presents results of an experimental investigation where the distribution of peakto-average power ratio (PAPR) in downlink MC-CDMA systems is modeled by the GEV distribution. Two orthogonal sets of sequences, Walsh-Hadamard and Golay complementary sequences, are used in spreading processes in the system. Then the parameters of the GEV distribution are estimated for the PAPR distribution. Through intensive numerical results, it is shown that the GEV distribution is an accurate model of the PAPR distribution of MC-CDMA systems. Also, the statistically estimated GEV distribution parameters for the PAPR reveal that when the number of subcarriers increases, the PAPR distributions converge to the Gumbel distribution.Index Terms-Extreme value theory, MC-CDMA, generalized extreme value distribution, PAPR.