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Analysis of SNR penalty in coherent WDM receiver system for detection of QPSK signal with component crosstalk

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Abstract

We propose analytical modelling of component crosstalk on the performance of wavelength division multiplexed (WDM) receiver with generalized quadrature phase shift keying (QPSK) signal and coherent detection. A comprehensive study on the signal-to-noise ratio (SNR) penalty is conducted, which can be used to balance SNR values and the system's power budget in the presence of finite crosstalk sources. Results express that, in the presence of five crosstalk interferers, the crosstalk level leading to 1-dB of SNR penalty must be less than -23.8 to -26.5 dB for bit error rate (BER) from 10–7 to 10–13. For the BER of 10–9, the QPSK signal has a component crosstalk tolerance of -21.7 dB for a 1 dB SNR penalty with a single interferer. Furthermore, the study of spectral efficiency reveals that crosstalk level, SNR, and the number of active interferers perform a vital role in determining the bandwidth efficiency of the system. The analysis exploits the characteristic function method and Maclaurin series expansion to compute a closed form expression of BER over additive white Gaussian noise (AWGN) channel. Following the analysis, the SNR and bandwidth expenses of the system are examined numerically through the estimated BER and binary entropy function. The estimated values of the BER using the proposed model are in close agreement with a similar theoretical investigation for a single interferer.

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References

  1. Zhang Q et al (2020) Accurate BER estimation scheme based on K-means clustering assisted gaussian approach for arbitrary modulation format. J Lightwave Technol 38(8):2152–2157. https://doi.org/10.1109/JLT.2019.2956804

    Article  Google Scholar 

  2. Fernando XN (2014) Power link budget and cumulating SNR. In Radio over Fiber for Wireless Communications: From Fundamentals to Advanced Topics. IEEE, pp.47–60. https://doi.org/10.1002/9781118797051.ch3

  3. Krongold B, Pfau T, Kaneda N, Lee SCJ (2012) Comparison between PS-QPSK and PDM-QPSK with equal rate and bandwidth. IEEE Photonics Technol Lett 24(3):203–205. https://doi.org/10.1109/LPT.2011.2174978

    Article  Google Scholar 

  4. Cheng J, Beaulieu NC, Zhang X (2005) Precise BER analysis of dual-channel reception of QPSK in Nakagami fading and cochannel interference. IEEE Commun Lett 9(4):316–318. https://doi.org/10.1109/LCOMM.2005.1413619

    Article  Google Scholar 

  5. Sarkar S, Das NR (2009) Study of component crosstalk and obtaining optimum detection threshold for minimum bit error rate in a WDM receiver. J Lightwave Tech 27:4366–4373

    Article  Google Scholar 

  6. Ho K-P (2005) Phase-Modulated Optical Communication Systems. Springer-Verlag, New York

    Google Scholar 

  7. Goldstein EL, Eskildsen L, Elrefaie AF (1994) Performance implications of component crosstalk in transparent lightwave networks. IEEE Photonics Technol Lett 6(5):657–660. https://doi.org/10.1109/68.285571

    Article  Google Scholar 

  8. Ho KP (1999) Analysis of homodyne crosstalk in optical networks using Gram-Charlier Series. J Lightwave Technol 17(2):149–154

    Article  Google Scholar 

  9. Kamalakis T, Sphicopoulos T (2003) Asymptotic behavior of in-band crosstalk noise in WDM networks. IEEE Photon Technol Lett 15(3):476–478

    Article  Google Scholar 

  10. Mukherjee P, Sarkar S, Das NR (2021) Spectral efficiency and quantum limit of BPSK transmission in a WDM system in presence of multiple interferers. Photon Netw Commun 42:134–141. https://doi.org/10.1007/s11107-021-00945-9

    Article  Google Scholar 

  11. Dalakas V, Kamalakis (2016) Comparative study of modulation and coding schemes for coherent indoor optical wireless systems. Opt Quant Electron 48:374

    Article  Google Scholar 

  12. Mukherjee P, Sarkar S, Das NR (2017) An approach for realistic estimation of BER due to signal-component crosstalk in a WDM receiver. Optik 146:1–7

    Article  Google Scholar 

  13. Winzer PJ (2012) High-spectral-efficiency optical modulation formats. J Lightwave Technol 30(24):3824–3835

    Article  Google Scholar 

  14. Zhang F et al (2011) Experimental comparison of different BER estimation methods for coherent optical QPSK transmission systems. IEEE Photonics Technol Lett 23(18):1343–1345. https://doi.org/10.1109/LPT.2011.2160718

    Article  Google Scholar 

  15. Giorgetti A, Chiani M (2005) Influence of fading on the Gaussian approximation for BPSK and QPSK with asynchronous cochannel interference. IEEE Trans Wireless Commun 4(2):384–389. https://doi.org/10.1109/TWC.2004.843036

    Article  Google Scholar 

  16. Chiani M, Giorgetti A (2002) Statistical analysis of asynchronous QPSK cochannel interference. Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE, vol. 2, pp. 1855–1859. https://doi.org/10.1109/GLOCOM.2002.1188520

  17. Hamdi KA, Pap L (2007) Exact BER analysis of binary and quaternary PSK with generalized selection diversity in cochannel interference. IEEE Trans Veh Technol 56(4):1849–1856. https://doi.org/10.1109/TVT.2007.897238

    Article  Google Scholar 

  18. Beaulieu NC (1991) The evaluation of error probabilities for intersymbol and cochannel interference. IEEE Trans Commun 39(12):1740–1749. https://doi.org/10.1109/26.120161

    Article  MATH  Google Scholar 

  19. Beaulieu NC, Abu-Daiya AA (1995) Bandwidth efficient QPSK in cochannel interference and fading. IEEE Trans Commun 43(9):2464–2474. https://doi.org/10.1109/26.412721

    Article  Google Scholar 

  20. Ho KP (2011) Effects of homodyne crosstalk on dual-polarization QPSK signals. J Lightwave Technol 29(1):124–131. https://doi.org/10.1109/JLT.2010.2095830

    Article  Google Scholar 

  21. Taher KA, Majumder SP (2017) Analytical evaluation of the effect of cross-polarization-induced crosstalk on the BER performance of a PDM-QPSK coherent homodyne optical transmission system. J Opt Commun 38(2):213–222. https://doi.org/10.1515/joc-2016-0072

    Article  Google Scholar 

  22. Kramer G, Ashikhmin A, van Wijngaarden AJ, Wei X (2003) Spectral efficiency of coded phase-shift keying for fiber-optic communication. J Lightwave Technol 21(10):2438–2445. https://doi.org/10.1109/JLT.2003.817704

    Article  Google Scholar 

  23. Verdu S (2002) Spectral efficiency in the wideband regime. IEEE Trans Inf Theory 48(6):1319–1343. https://doi.org/10.1109/TIT.2002.1003824

    Article  MathSciNet  MATH  Google Scholar 

  24. Baricz A (2010) Powers of modified Bessel functions of the first kind. Appl Math Lett 23(6):722–724

    Article  MathSciNet  MATH  Google Scholar 

  25. Papoulis A (1984) Probability, Random Variable, and Stochastic Processes. McGraw-Hill, New York

    MATH  Google Scholar 

  26. Abramowitz A, Stegun I (1972) Handbook of Mathematical Functions, 9th edn. Dover, New York

    MATH  Google Scholar 

  27. Proakis JG (2000) Digital Communications. McGraw-Hill, New York

    MATH  Google Scholar 

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Authors and Affiliations

  1. Department of Electronics & Communication Engineering, Academy of Technology, Adisaptagram, Hooghly, India

    Pinakpani Mukherjee

  2. Institute of Radio Physics and Electronics, University of Calcutta, 92 APC Road, Kolkata, India

    Santu Sarkar & Nikhil R. Das

Authors
  1. Pinakpani Mukherjee
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  2. Santu Sarkar
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  3. Nikhil R. Das
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Correspondence to Pinakpani Mukherjee.

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Mukherjee, P., Sarkar, S. & Das, N.R. Analysis of SNR penalty in coherent WDM receiver system for detection of QPSK signal with component crosstalk. Ann. Telecommun. 78, 577–584 (2023). https://doi.org/10.1007/s12243-023-00958-7

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  • DOI: https://doi.org/10.1007/s12243-023-00958-7

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