BCH codes for coherent star DQAM systems with laser phase noise

Miu Yoong Leong*, Knud J. Larsen, Gunnar Jacobsen, Darko Zibar, Sergey Sergeyev, Sergei Popov

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Coherent optical systems have relatively high laser phase noise, which affects the performance of forward error correction (FEC) codes. In this paper, we propose a method for selecting Bose-Chaudhuri-Hocquenghem (BCH) codes for coherent systems with star-shaped constellations and M-ary differential quadrature amplitude modulation (DQAM). Our method supports constellations of any order M which is a power of 2, and includes differential M-ary phase shift keying as a special case. Our approach is straightforward, requiring only short pre-FEC simulations to parameterize a statistical model, based on which we select codes analytically. It is applicable to pre-FEC bit error rates (BERs) of around 10-3. We evaluate the accuracy of our approach using numerical simulations. For a target post-FEC BER of 10-5, codes selected with our method yield BERs within 2× target. Lastly, we extend our method to systems with interleaving, which enables us to use codes with lower overhead.

Original languageEnglish
Pages (from-to)47-56
Number of pages10
JournalJournal of Optical Communications
Issue number1
Publication statusPublished - 1 Mar 2017


  • block codes
  • cycle slips
  • error correction codes
  • optical fiber communications
  • phase noise


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