TY - JOUR

T1 - A balancing method for PMEPR reduction in OFDM signals

AU - Litsyn, Simon

AU - Shpunt, Alexander

N1 - Funding Information:
Paper approved by A. Anastasopoulos, the Editor for Wireless Communications of the IEEE Communications Society. Manuscript received December 26, 2005; revised July 19, 2006. This work was supported by the ISF under Grant 0511-03.

PY - 2007/4

Y1 - 2007/4

N2 - A relation is established between the strength of a binary code over the alphabet {+1, -1}, and its ability to reduce peak-to-mean envelope power ratio (PMEPR) in n-subcarrier (OFDM) signals. Based on this relation, a method is proposed to deterministically bound PMEPR of such signals using coordinate-wise multiplication by a balancing vector (BV) chosen from a code of given strength. A practical probabilistic scheme considering a small number of candidate codewords is devised. For this scheme, estimates on the PMEPR reduction achievable with arbitrary high probability are derived. In particular, the scheme provides for large n PMEPR of ln n + 2.01 ln ln n with (ln 2) · (log2n)2 + 1 bits of redundancy, the failure probability at most e-n, and testing n/(ln ln n) candidate BVs. Finally, several practical settings are considered. For example, for quaternary phase-shift keying, n = 128, the scheme with 36 bits of redundancy (18 redundant subcarriers), by testing only 4 BVs provides over 2 dB PMEPR reduction, for any failure rate below 10-2.5.

AB - A relation is established between the strength of a binary code over the alphabet {+1, -1}, and its ability to reduce peak-to-mean envelope power ratio (PMEPR) in n-subcarrier (OFDM) signals. Based on this relation, a method is proposed to deterministically bound PMEPR of such signals using coordinate-wise multiplication by a balancing vector (BV) chosen from a code of given strength. A practical probabilistic scheme considering a small number of candidate codewords is devised. For this scheme, estimates on the PMEPR reduction achievable with arbitrary high probability are derived. In particular, the scheme provides for large n PMEPR of ln n + 2.01 ln ln n with (ln 2) · (log2n)2 + 1 bits of redundancy, the failure probability at most e-n, and testing n/(ln ln n) candidate BVs. Finally, several practical settings are considered. For example, for quaternary phase-shift keying, n = 128, the scheme with 36 bits of redundancy (18 redundant subcarriers), by testing only 4 BVs provides over 2 dB PMEPR reduction, for any failure rate below 10-2.5.

KW - Dual Bose-Chaudhuri-Hocquengem (BCH) codes

KW - Orthogonal frequency-division multiplexing (OFDM)

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

UR - http://www.scopus.com/inward/record.url?scp=34247197581&partnerID=8YFLogxK

U2 - 10.1109/TCOMM.2007.894120

DO - 10.1109/TCOMM.2007.894120

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AN - SCOPUS:34247197581

VL - 55

SP - 683

EP - 691

JO - IEEE Transactions on Communications

JF - IEEE Transactions on Communications

SN - 1558-0857

IS - 4

ER -