Tone Reservation for OFDM with Restricted Carrier Set

Holger Boche, Ullrich J. Monich

Research output: Contribution to journalArticlepeer-review

Abstract

The tone reservation method can be used to reduce the peak to average power ratio (PAPR) in orthogonal frequency division multiplexing (OFDM) transmission systems. In this paper, the tone reservation method is analyzed for OFDM with a restricted carrier set, where only the positive carrier frequencies are used. Performing a fully analytical analysis, we give a complete characterization of the information sets for which the PAPR problem is solvable. To derive our main result, we connect the PAPR problem with a geometric functional analytic property of certain spaces. Furthermore, we present applications of our theory that give guidelines for choosing the information carriers in the finite setting and discuss a probabilistic approach for selecting the carriers. In addition, it is shown that if there exists an information sequence for which the PAPR problem is not solvable, then the set of information sequences for which the PAPR problem is not solvable is a residual set.

Original languageEnglish
Article number8784412
Pages (from-to)7935-7949
Number of pages15
JournalIEEE Transactions on Information Theory
Volume65
Issue number12
DOIs
StatePublished - Dec 2019

Keywords

  • Peak to average power
  • crest factor
  • orthogonal frequency division multiplexing
  • solvability
  • tone reservation

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