Analytical BER performance in differential n-PSK coherent transmission system influenced by equalization enhanced phase noise

Tianhua Xu*, Gunnar Jacobsen, Sergei Popov, Jie Li, Sergey Sergeyev, Ari T. Friberg, Yimo Zhang

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


Long-haul high speed optical transmission systems are significantly distorted by the interplay between the electronic chromatic dispersion (CD) equalization and the local oscillator (LO) laser phase noise, which leads to an effect of equalization enhanced phase noise (EEPN). The EEPN degrades the performance of optical communication systems severely with the increment of fiber dispersion, LO laser linewidth, symbol rate, and modulation format. In this paper, we present an analytical model for evaluating the performance of bit-error-rate (BER) versus signal-to-noise ratio (SNR) in the n-level phase shift keying (n-PSK) coherent transmission system employing differential carrier phase estimation (CPE), where the influence of EEPN is considered. Theoretical results based on this model have been investigated for the differential quadrature phase shift keying (DQPSK), the differential 8-PSK (D8PSK), and the differential 16-PSK (D16PSK) coherent transmission systems. The influence of EEPN on the BER performance in term of the fiber dispersion, the LO phase noise, the symbol rate, and the modulation format are analyzed in detail. The BER behaviors based on this analytical model achieve a good agreement with previously reported BER floors influenced by EEPN. Further simulations have also been carried out in the differential CPE considering EEPN. The results indicate that this analytical model can give an accurate prediction for the DQPSK system, and a leading-order approximation for the D8PSK and the D16PSK systems.

Original languageEnglish
Pages (from-to)222-227
Number of pages6
JournalOptics Communications
Early online date27 Aug 2014
Publication statusPublished - 1 Jan 2015

Bibliographical note

NOTICE: this is the author’s version of a work that was accepted for publication in Optics communications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Xu, T, Jacobsen, G, Popov, S, Li, J, Sergeyev, S, Friberg, AT & Zhang, Y, 'Analytical BER performance in differential n-PSK coherent transmission system influenced by equalization enhanced phase noise' Optics communications, vol 334 (2015) DOI

Funding: European Commission Research Council FP7-PEOPLE-2012-IAPP (project GRIFFON, no. 324391), in part by UK Engineering and Physical Sciences Research Council (project UNLOC EP/J017582/1), and in part by Swedish Research Council Vetenskapsradet (No. 0379801).


  • bit-error-rate
  • coherent optical communication
  • differential carrier phase estimation
  • equalization enhanced phase noise
  • phase shift keying
  • signal-to-noise ratio


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