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On multicarrier signals where the PMEPR of a random codeword is asymptotically log n

Sharif, Masoud and Hassibi, Babak (2004) On multicarrier signals where the PMEPR of a random codeword is asymptotically log n. IEEE Transactions on Information Theory, 50 (5). pp. 895-903. ISSN 0018-9448. http://resolver.caltech.edu/CaltechAUTHORS:SHAieeetit04

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Abstract

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=(c/sub 1/,...,c/sub n/) is logn with probability approaching one asymptotically, for the following three general cases: i) c/sub i/'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 c/sub i/ each has i.i.d. and even distribution (not necessarily uniform), ii) c/sub i/'s are i.i.d. chosen from a phase-shift keying (PSK) constellation where the distribution over the constellation points is invariant under /spl pi//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.


Item Type:Article
Additional Information:© Copyright 2004 IEEE. Reprinted with permission. Manuscript received January 6, 2003; revised October 14, 2003. [Posted online: 2004-05-04] This work was supported in part by the National Science Foundation under Grant CCR-0133818, by the Office of Naval Research under Grant N00014-02-1-0578, and by Caltech’s Lee Center for Advanced Networking.
Subject Keywords:Multicarrier signals, orthogonal frequency-division multiplexing (OFDM), peak-to-mean envelope power ratio (PMEPR), spherical codes, symmetric constellations
Record Number:CaltechAUTHORS:SHAieeetit04
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:SHAieeetit04
Alternative URL:http://dx.doi.org/10.1109/TIT.2004.826681
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6524
Collection:CaltechAUTHORS
Deposited By: Archive Administrator
Deposited On:12 Dec 2006
Last Modified:26 Dec 2012 09:22

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