Error performance of overlapping multi-pulse pulse position modulation (OMPPM) and trellis coded OMPPM in optical direct-detection channel

Tomoaki Ohtsuki, Iwao Sasase, Shinsaku Mori

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

We analyze the error performance of overlapping multipulse pulse position modulation (OMPPM) in optical direct-detection channel with existing noise. Moreover we analyze the error performance of trellis-coded OMPPM with the small overlap index N = 2 in optical direct-detection channel to achieve significant coding gains over uncoded PPM, uncoded MPPM and the trellis coded overlapping PPM (OPPM) with the same pulsewidth. First we analyze the symbol error probability of OMPPM in both the quantum-limited case and the quantum and background noise case by using the distance defined as the number of nonoverlapped pulsed chips between symbols. Second by using this distance, we partition the OMPPM signals and apply the four-state and the eight-state codes described by Ungerboeck, to OMPPM. It is shown that the trellis coding over OMPPM is effective in optical direct-detection channel: the eight-state trellis coded (4,2,2) OMPPM can achieve gains of 3.92 dB and 3.23 dB over uncoded binary PPM in the quantum-limited case and in the quantum and background noise case with noise photons per slot time is one, respectively.

Original languageEnglish
Pages (from-to)1133-1143
Number of pages11
JournalIEICE Transactions on Communications
VolumeE77-B
Issue number9
Publication statusPublished - 1994 Sept 1

ASJC Scopus subject areas

  • Software
  • Computer Networks and Communications
  • Electrical and Electronic Engineering

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