Sharif, Masoud and Hassibi, Babak (2004) Existence of codes with constant PMEPR and related design. IEEE Transactions on Signal Processing, 52 (10). pp. 28362846. ISSN 1053587X. http://resolver.caltech.edu/CaltechAUTHORS:SHAieeetsp04

PDF
See Usage Policy. 428Kb 
Use this Persistent URL to link to this item: http://resolver.caltech.edu/CaltechAUTHORS:SHAieeetsp04
Abstract
Recently, several coding methods have been proposed to reduce the high peaktomean envelope ratio (PMEPR) of multicarrier signals. It has also been shown that with probability one, the PMEPR of any random codeword chosen from a symmetric quadrature amplitude modulation/phase shift keying (QAM/PSK) constellation is logn for large n, where n is the number of subcarriers. Therefore, the question is how much reduction beyond logn can one asymptotically achieve with coding, and what is the price in terms of the rate loss? In this paper, by optimally choosing the sign of each subcarrier, we prove the existence of qary codes of constant PMEPR for sufficiently large n and with a rate loss of at most log/sub q/2. We also obtain a VarsharmovGilberttype upper bound on the rate of a code, given its minimum Hamming distance with constant PMEPR, for large n. Since ours is an existence result, we also study the problem of designing signs for PMEPR reduction. Motivated by a derandomization algorithm suggested by Spencer, we propose a deterministic and efficient algorithm to design signs such that the PMEPR of the resulting codeword is less than clogn for any n, where c is a constant independent of n. For symmetric qary constellations, this algorithm constructs a code with rate 1log/sub q/2 and with PMEPR of clogn with simple encoding and decoding. Simulation results for our algorithm are presented.
Item Type:  Article 

Additional Information:  © Copyright 2004 IEEE. Reprinted with permission. Manuscript received May 21, 2003; revised October 28, 2003. [Posted online: 20040927] 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. The associate editor coordinating the review of this paper and approving it for publication was Prof. Nicholas D. Sidiripoulos. 
Subject Keywords:  Coding, multicarrier signals, peaktomean envelope power ratio (PMEPR), orthogonal frequency division multiplexing (OFDM) 
Record Number:  CaltechAUTHORS:SHAieeetsp04 
Persistent URL:  http://resolver.caltech.edu/CaltechAUTHORS:SHAieeetsp04 
Alternative URL:  http://dx.doi.org/10.1109/TSP.2004.834343 
Usage Policy:  No commercial reproduction, distribution, display or performance rights in this work are provided. 
ID Code:  6519 
Collection:  CaltechAUTHORS 
Deposited By:  Archive Administrator 
Deposited On:  12 Dec 2006 
Last Modified:  26 Dec 2012 09:22 
Repository Staff Only: item control page