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. 895903. ISSN 00189448. http://resolver.caltech.edu/CaltechAUTHORS:SHAieeetit04

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Abstract
Multicarrier signals exhibit a large peaktomean 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 phaseshift 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 VarshamovGilbert (VG) bound remains the same for codes with PMEPR of less than logn chosen from QAM/PSK constellations.
Item Type:  Article  

Additional Information:  © 2004 IEEE. Reprinted with permission. Manuscript received January 6, 2003; revised October 14, 2003. [Posted online: 20040504] This work was supported in part by the National Science Foundation under Grant CCR0133818, by the Office of Naval Research under Grant N000140210578, and by Caltech’s Lee Center for Advanced Networking.  
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Subject Keywords:  Multicarrier signals, orthogonal frequencydivision multiplexing (OFDM), peaktomean envelope power ratio (PMEPR), spherical codes, symmetric constellations  
Issue or Number:  5  
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:  08 Mar 2019 00:36 
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