TY - JOUR

T1 - Discrete and continuous maxima in multicarrier communication

AU - Litsyn, Simon

AU - Yudin, Alexander

N1 - Funding Information:
Manuscript received May 28, 2002; revised November 30, 2004. The work of S. Litsyn was supported in part by the Israel Science Foundation under Grant ISF 0511-03. The work of A. Yudin was supported in part by the Russian Foundation of Fundamental Research under Grant RFFI 02-01-00368. S. Litsyn is with the School of Electrical Engineering, Tel-Aviv University, Ramat-Aviv 69978, Israel (e-mail: litsyn@eng.tau.ac.il). A. Yudin is with the Department of Mathematics, Vladimir State Pedagogical University, Vladimir, 600024, Russia (e-mail: aayudin@ygpu.vladimir.ru). Communicated by R. Urbanke, Associate Editor for Coding Techniques. Digital Object Identifier 10.1109/TIT.2004.842636

PY - 2005/3

Y1 - 2005/3

N2 - The ratio between the discrete and continuous maxima of signals used in multicarrier communications is analyzed. An exact expression, up to an additive term, is obtained for the considered ratio when the number of uniformly distributed samples is equal to the number of carriers. A more accurate upper estimate on the continuous maximum from discrete samples of the signal and its derivative is suggested. Finally, a tight upper bound is given for the value of the continuous maximum via discrete values of samples when the number of samples is greater than the number of carriers.

AB - The ratio between the discrete and continuous maxima of signals used in multicarrier communications is analyzed. An exact expression, up to an additive term, is obtained for the considered ratio when the number of uniformly distributed samples is equal to the number of carriers. A more accurate upper estimate on the continuous maximum from discrete samples of the signal and its derivative is suggested. Finally, a tight upper bound is given for the value of the continuous maximum via discrete values of samples when the number of samples is greater than the number of carriers.

KW - Multicarrier communications

KW - Orthogonal frequency-division multiplexing (OFDM)

KW - Peak-to-average power ratio (PAPR) reduction

UR - http://www.scopus.com/inward/record.url?scp=15044338693&partnerID=8YFLogxK

U2 - 10.1109/TIT.2004.842636

DO - 10.1109/TIT.2004.842636

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AN - SCOPUS:15044338693

SN - 0018-9448

VL - 51

SP - 919

EP - 928

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

IS - 3

ER -