Peak power reduction of OFDM signals with sign adjustment
IEEE Transactions on Communications
Convergence of the complex envelope of bandlimited OFDM signals
IEEE Transactions on Information Theory
PAPR reduction of OFDM using PTS and error-correcting code subblocking
IEEE Transactions on Wireless Communications
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Multicarrier signals exhibit a large peak-to-mean envelope power ratio (PMEPR). In this correspondence, without using a Gaussian assumption, we derive lower and upper probability bounds for the PMEPR distribution when the number of subcarriers n is large. Even though the worst case PMEPR is of the order of n, the main result is that the PMEPR of a random codeword C=(c1,...,cn) is logn with probability approaching one asymptotically, for the following three general cases: i) ci's are independent and identically distributed (i.i.d.) chosen from a complex quadrature amplitude modulation (QAM) constellation in which the real and imaginary part of ci each has i.i.d. and even distribution (not necessarily uniform), ii) ci's are i.i.d. chosen from a phase-shift keying (PSK) constellation where the distribution over the constellation points is invariant under π/2 rotation, and iii) C is chosen uniformly from a complex sphere of dimension n. Based on this result, it is proved that asymptotically, the Varshamov-Gilbert (VG) bound remains the same for codes with PMEPR of less than logn chosen from QAM/PSK constellations.