Low-complexity BCH codes with optimized interleavers for DQPSK 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


The presence of high phase noise in addition to additive white Gaussian noise in coherent optical systems affects the performance of forward error correction (FEC) schemes. In this paper, we propose a simple scheme for such systems, using block interleavers and binary Bose–Chaudhuri–Hocquenghem (BCH) codes. The block interleavers are specifically optimized for differential quadrature phase shift keying modulation. We propose a method for selecting BCH codes that, together with the interleavers, achieve a target post-FEC bit error rate (BER). This combination of interleavers and BCH codes has very low implementation complexity. In addition, our approach is straightforward, requiring only short pre-FEC simulations to parameterize a model, based on which we select codes analytically. We aim to correct a pre-FEC BER of around (Formula presented.). We evaluate the accuracy of our approach using numerical simulations. For a target post-FEC BER of (Formula presented.), codes selected using our method result in BERs around 3(Formula presented.) target and achieve the target with around 0.2 dB extra signal-to-noise ratio.

Original languageEnglish
Pages (from-to)328–333
JournalPhotonic Network Communications
Early online date29 Aug 2016
Publication statusPublished - Jun 2017

Bibliographical note

The final publication is available at Springer via http://dx.doi.org/10.1007/s11107-016-0645-0


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


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