A balancing method for PMEPR reduction in OFDM signals

Simon Litsyn, Alexander Shpunt

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)683-691
Number of pages9
JournalIEEE Transactions on Communications
Issue number4
StatePublished - Apr 2007


  • Dual Bose-Chaudhuri-Hocquengem (BCH) codes
  • Orthogonal frequency-division multiplexing (OFDM)
  • Peak-to-average power ratio (PAPR) reduction


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