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Asymptotic probability bounds on the peak distribution of complex multicarrier signals without Gaussian assumption

Sharif, Masoud and Hassibi, Babak (2003) Asymptotic probability bounds on the peak distribution of complex multicarrier signals without Gaussian assumption. In: Asilomar Conference on Signals, Systems and Computers, 36th, Pacific Grove, CA, 3-6 November 2002. Vol.1. IEEE , Piscataway, NJ, pp. 171-175. ISBN 0-7803-7576-9.

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Multicarrier signals exhibit a large peak to mean envelope power ratio (PMEPR). In this paper, we derive the lower and upper probability bounds for the PMEPR distribution when entries of the codeword, C, are chosen independently from a symmetric q-ary PSK or QAM constellation, C /spl isin/ /spl Qscr/;/sup nq/, or C is chosen from a complex n dimensional sphere, /spl Omega//sup n/ when the number of subcarriers, n, is large and without any Gaussian assumption on either the joint distribution or any sample of the multicarrier signal. Even though the worst case PMEPR is of the order of n, the main result is that the PMEPR of a random codeword C chosen from /spl Qscr/;/sup nq/ or /spl Omega//sup n/ is log n with probability one, asymptotically. A Varsharmov-Gilbert (VG) style bound for the achievable rate and minimum Hamming distance of codes chosen from /spl Qscr/;/sup nq/, with PMEPR of less than log n is obtained. It is proved that asymptotically, the VG bound remains the same for the codes chosen from /spl Qscr/;/sup nq/ with PMEPR of less than log n.

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Additional Information:© 2002 IEEE. Reprinted with permission. Posted online: 2003-05-07. This work was supported in part by the National Science Foundation under grant no. CCR-0133818, by the office of Naval Research under grant no. N00014-02-1-0578, and by Caltech's Lee Center for Advanced Networking
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Office of Naval Research (ONR)N00014-02-1-0578
Caltech Lee Center for Advanced NetworkingUNSPECIFIED
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Deposited On:03 Mar 2008
Last Modified:08 Nov 2021 21:01

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