Dimensioning BCH codes for coherent DQPSK systems with laser phase noise and cycle slips

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

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Forward error correction (FEC) plays a vital role in coherent optical systems employing multi-level modulation. However, much of coding theory assumes that additive white Gaussian noise (AWGN) is dominant, whereas coherent optical systems have significant phase noise (PN) in addition to AWGN. This changes the error statistics and impacts FEC performance. In this paper, we propose a novel semianalytical method for dimensioning binary Bose-Chaudhuri-Hocquenghem (BCH) codes for systems with PN. Our method involves extracting statistics from pre-FEC bit error rate (BER) simulations. We use these statistics to parameterize a bivariate binomial model that describes the distribution of bit errors. In this way, we relate pre-FEC statistics to post-FEC BER and BCH codes. Our method is applicable to pre-FEC BER around 10-3 and any post-FEC BER. Using numerical simulations, we evaluate the accuracy of our approach for a target post-FEC BER of 10-5. Codes dimensioned with our bivariate binomial model meet the target within 0.2-dB signal-to-noise ratio.

Original languageEnglish
Pages (from-to)3446-3450
Number of pages5
JournalJournal of Lightwave Technology
Issue number21
Early online date7 Aug 2014
Publication statusPublished - 1 Nov 2014

Bibliographical note

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Funding: Vetenskapsradet under Agreement 0379801, the Engineering and Physical Sciences Research Council under Project UNLOC EP/J017582/1, and FP7-PEOPLE-2012-IAPP under Project GRIFFON 324391


  • Bose-Chaudhuri-Hocquenghem (BCH) codes
  • coherent communications
  • cycle slips
  • forward error correction (FEC)
  • phase noise


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