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 journalArticle

Abstract

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
Volume32
Issue number21
Early online date7 Aug 2014
DOIs
Publication statusPublished - 1 Nov 2014

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BCH codes
slip
cycles
bit error rate
lasers
statistics
random noise

Bibliographical note

© 2014 IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.

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

Keywords

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

Cite this

Leong, Miu Yoong ; Larsen, Knud J. ; Jacobsen, Gunnar ; Popov, Sergei ; Zibar, Darko ; Sergeyev, Sergey. / Dimensioning BCH codes for coherent DQPSK systems with laser phase noise and cycle slips. In: Journal of Lightwave Technology. 2014 ; Vol. 32, No. 21. pp. 3446-3450.
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Dimensioning BCH codes for coherent DQPSK systems with laser phase noise and cycle slips. / Leong, Miu Yoong; Larsen, Knud J.; Jacobsen, Gunnar; Popov, Sergei; Zibar, Darko; Sergeyev, Sergey.

In: Journal of Lightwave Technology, Vol. 32, No. 21, 01.11.2014, p. 3446-3450.

Research output: Contribution to journalArticle

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AU - Sergeyev, Sergey

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