BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function

Kazi Abu Taher; Satya Prasad Majumder

doi:doi:10.11648/j.ajop.20180601.13

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BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function

Kazi Abu Taher, Satya Prasad Majumder

Published in American Journal of Optics and Photonics (Volume 6, Issue 1)

Received: 20 January 2018 Accepted: 11 February 2018 Published: 14 March 2018

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Abstract

A noble theoretical approach is presented to evaluate the bit error rate (BER) performance of an optical polarization division multiplexed (PDM) 4-multilevel quadrature amplitude modulation (4-QAM) transmission system under the combined influence of polarization mode dispersion (PMD) and group velocity dispersion (GVD) in a single mode fiber (SMF). The analysis is carried out considering a coherent homodyne receiver. The exact probability density function (pdf) fluctuation due to PMD and GVD is evaluated from its moments using a Monte-Carlo simulation technique. Average BER is evaluated by averaging the conditional BER over the pdf of the random phase fluctuation. BER performance results are evaluated for different system parameters. It is found that PDM 4-QAM coherent homodyne system doubles the data rate but suffers more power penalty than the 4-QAM system. Results show that for a BER of 10^-9 at DGD of 0.5T and GVD value of 1700 ps/nm the PDM 4-QAM system needs 2.21 dB more power than 4-QAM systems giving the leverage of doubling the data rate.

Published in	American Journal of Optics and Photonics (Volume 6, Issue 1)
DOI	10.11648/j.ajop.20180601.13
Page(s)	14-19
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2018. Published by Science Publishing Group

Keywords

Quadrature Amplitude Modulation, Polarization Division Multiplexing, Polarization Mode Dispersion, Group Velocity Dispersion

References

[1]	K. A. Taher, and S. P. Majumder, “Analytical evaluation of the combined influence of PMD and GVD on the BER performance of optical homodyne QPSK systems”, J. of Opt. Eng., 2017. vol. 56(12), pp. 126108-1-8.
[2]	J. Yang, C. Yu et al., “CD-insensitive PMD monitoring based on RF power measurement”, Opt. Express, 2011, vol. 19(2) pp. 1354-9.
[3]	K. Murata et al., “100-Gbit/s PDM-QPSK coherent receiver with wide dynamic range and excellent common-mode rejection ratio,” Opt. Express, 2011. vol. 29(26), pp. B125-130.
[4]	C. Xie, “Impact of nonlinear and polarization effects in coherent systems,” Opt. Express, vol. 19(26), 2011. pp. B915-30.
[5]	Kesavan and H. Margaret, “Analysis of group velocity dispersion (GVD) with and without initial Gaussian chirp in different types of fiber,” Int J. of Electrical, Computing Eng. and Commun. 2015, Vol. 1(1), pp. 1-6.
[6]	V. K. Mishra, “Analytical approach to polarization mode dispersion in linearly spun fiber with birefringence,” Int. J. of Optics, 2016, pp. 1-9.
[7]	G. Edah et al., “Time-frequency approach to Gaussian and sinh-Gaussian pulse profiles propagating in a dispersive medium,” African Review of Physics, 2015, pp. 47-53.
[8]	R. Dar et al., “Properties of nonlinear noise in long, dispersion-uncompensated fiber links,” Opt. Express, 2013, vol. 21(22), pp. 25685-25699.
[9]	K. A. Taher and S. P. Majumder, “Analytical evaluation of the effect of cross polarization induced crosstalk on the BER performance of a PDM-QPSK coherent homodyne optical transmission system,” J. of Optical Commun, 2016, pp. 1-10.
[10]	K. A. Taher, S. P. Majumder, B. M. A. Rahman, Y. Yu and C. Yu, “Simultaneous monitoring of CD and PMD using RF tone power,” Elsevier Procedia Eng., 2016, pp. 209-216.

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Kazi Abu Taher, Satya Prasad Majumder. (2018). BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function. American Journal of Optics and Photonics, 6(1), 14-19. https://doi.org/10.11648/j.ajop.20180601.13

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ACS Style

Kazi Abu Taher; Satya Prasad Majumder. BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function. Am. J. Opt. Photonics 2018, 6(1), 14-19. doi: 10.11648/j.ajop.20180601.13

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AMA Style

Kazi Abu Taher, Satya Prasad Majumder. BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function. Am J Opt Photonics. 2018;6(1):14-19. doi: 10.11648/j.ajop.20180601.13

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@article{10.11648/j.ajop.20180601.13,
  author = {Kazi Abu Taher and Satya Prasad Majumder},
  title = {BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function},
  journal = {American Journal of Optics and Photonics},
  volume = {6},
  number = {1},
  pages = {14-19},
  doi = {10.11648/j.ajop.20180601.13},
  url = {https://doi.org/10.11648/j.ajop.20180601.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20180601.13},
  abstract = {A noble theoretical approach is presented to evaluate the bit error rate (BER) performance of an optical polarization division multiplexed (PDM) 4-multilevel quadrature amplitude modulation (4-QAM) transmission system under the combined influence of polarization mode dispersion (PMD) and group velocity dispersion (GVD) in a single mode fiber (SMF). The analysis is carried out considering a coherent homodyne receiver. The exact probability density function (pdf) fluctuation due to PMD and GVD is evaluated from its moments using a Monte-Carlo simulation technique. Average BER is evaluated by averaging the conditional BER over the pdf of the random phase fluctuation. BER performance results are evaluated for different system parameters. It is found that PDM 4-QAM coherent homodyne system doubles the data rate but suffers more power penalty than the 4-QAM system. Results show that for a BER of 10-9 at DGD of 0.5T and GVD value of 1700 ps/nm the PDM 4-QAM system needs 2.21 dB more power than 4-QAM systems giving the leverage of doubling the data rate.},
 year = {2018}
}

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TY  - JOUR
T1  - BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function
AU  - Kazi Abu Taher
AU  - Satya Prasad Majumder
Y1  - 2018/03/14
PY  - 2018
N1  - https://doi.org/10.11648/j.ajop.20180601.13
DO  - 10.11648/j.ajop.20180601.13
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 14
EP  - 19
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20180601.13
AB  - A noble theoretical approach is presented to evaluate the bit error rate (BER) performance of an optical polarization division multiplexed (PDM) 4-multilevel quadrature amplitude modulation (4-QAM) transmission system under the combined influence of polarization mode dispersion (PMD) and group velocity dispersion (GVD) in a single mode fiber (SMF). The analysis is carried out considering a coherent homodyne receiver. The exact probability density function (pdf) fluctuation due to PMD and GVD is evaluated from its moments using a Monte-Carlo simulation technique. Average BER is evaluated by averaging the conditional BER over the pdf of the random phase fluctuation. BER performance results are evaluated for different system parameters. It is found that PDM 4-QAM coherent homodyne system doubles the data rate but suffers more power penalty than the 4-QAM system. Results show that for a BER of 10-9 at DGD of 0.5T and GVD value of 1700 ps/nm the PDM 4-QAM system needs 2.21 dB more power than 4-QAM systems giving the leverage of doubling the data rate.
VL  - 6
IS  - 1
ER  -

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Author Information

Kazi Abu Taher

Department of Electrical and Electronic Engineering, American International University Bangladesh, Dhaka, Bangladesh
Satya Prasad Majumder

Department of Electrical and Electronic Engineering, Bangladesh University of Engineering and Technology, Dhaka, Bangladesh

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APA Style

Kazi Abu Taher, Satya Prasad Majumder. (2018). BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function. American Journal of Optics and Photonics, 6(1), 14-19. https://doi.org/10.11648/j.ajop.20180601.13

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ACS Style

Kazi Abu Taher; Satya Prasad Majumder. BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function. Am. J. Opt. Photonics 2018, 6(1), 14-19. doi: 10.11648/j.ajop.20180601.13

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AMA Style

Kazi Abu Taher, Satya Prasad Majumder. BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function. Am J Opt Photonics. 2018;6(1):14-19. doi: 10.11648/j.ajop.20180601.13

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@article{10.11648/j.ajop.20180601.13,
  author = {Kazi Abu Taher and Satya Prasad Majumder},
  title = {BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function},
  journal = {American Journal of Optics and Photonics},
  volume = {6},
  number = {1},
  pages = {14-19},
  doi = {10.11648/j.ajop.20180601.13},
  url = {https://doi.org/10.11648/j.ajop.20180601.13},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajop.20180601.13},
  abstract = {A noble theoretical approach is presented to evaluate the bit error rate (BER) performance of an optical polarization division multiplexed (PDM) 4-multilevel quadrature amplitude modulation (4-QAM) transmission system under the combined influence of polarization mode dispersion (PMD) and group velocity dispersion (GVD) in a single mode fiber (SMF). The analysis is carried out considering a coherent homodyne receiver. The exact probability density function (pdf) fluctuation due to PMD and GVD is evaluated from its moments using a Monte-Carlo simulation technique. Average BER is evaluated by averaging the conditional BER over the pdf of the random phase fluctuation. BER performance results are evaluated for different system parameters. It is found that PDM 4-QAM coherent homodyne system doubles the data rate but suffers more power penalty than the 4-QAM system. Results show that for a BER of 10-9 at DGD of 0.5T and GVD value of 1700 ps/nm the PDM 4-QAM system needs 2.21 dB more power than 4-QAM systems giving the leverage of doubling the data rate.},
 year = {2018}
}

Copy | Download

TY  - JOUR
T1  - BER Performance of PDM 4-QAM Optical Transmission System Considering the Effects of PMD and GVD Using Exact Probability Density Function
AU  - Kazi Abu Taher
AU  - Satya Prasad Majumder
Y1  - 2018/03/14
PY  - 2018
N1  - https://doi.org/10.11648/j.ajop.20180601.13
DO  - 10.11648/j.ajop.20180601.13
T2  - American Journal of Optics and Photonics
JF  - American Journal of Optics and Photonics
JO  - American Journal of Optics and Photonics
SP  - 14
EP  - 19
PB  - Science Publishing Group
SN  - 2330-8494
UR  - https://doi.org/10.11648/j.ajop.20180601.13
AB  - A noble theoretical approach is presented to evaluate the bit error rate (BER) performance of an optical polarization division multiplexed (PDM) 4-multilevel quadrature amplitude modulation (4-QAM) transmission system under the combined influence of polarization mode dispersion (PMD) and group velocity dispersion (GVD) in a single mode fiber (SMF). The analysis is carried out considering a coherent homodyne receiver. The exact probability density function (pdf) fluctuation due to PMD and GVD is evaluated from its moments using a Monte-Carlo simulation technique. Average BER is evaluated by averaging the conditional BER over the pdf of the random phase fluctuation. BER performance results are evaluated for different system parameters. It is found that PDM 4-QAM coherent homodyne system doubles the data rate but suffers more power penalty than the 4-QAM system. Results show that for a BER of 10-9 at DGD of 0.5T and GVD value of 1700 ps/nm the PDM 4-QAM system needs 2.21 dB more power than 4-QAM systems giving the leverage of doubling the data rate.
VL  - 6
IS  - 1
ER  -

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