Abstract

We propose a new method for estimating the bit error rate (BER) of optical channels suffering from crosstalk and waveform distortion. We demonstrate experimentally that the new method can provide a good BER estimation with an error range less than one order of magnitude.

© 2004 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
    [Crossref]
  2. I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
    [Crossref]
  3. S. Ohteru and N. Takachio, “Optical signal quality monitor using direct Q-factor measurement,” Photonic. Technol. Lett. 11, 1307–1309 (1999).
    [Crossref]
  4. I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
    [Crossref]
  5. I. Shake, H. Takara, and S. Kawanishi, “Simple Q factor monitoring for BER estimation using opened eye diagrams captured by high-speed asynchronous electrooptical sampling,” Photonic. Technol. Lett. 15, 620–622, (2003).
    [Crossref]
  6. C. J. Anderson and J. A. Lyle, “Technique for evaluating system performance using Q in numerical simulations exhibiting intersymbol interference,” Electron. Lett. 30, 71–72 (1994).
    [Crossref]
  7. M. Rasztovits-Wiech, K. Studer, and W. R. Leeb, “Bit error probability estimation algorithm for signal supervision in all-optical networks,” Electron. Lett. 35, 1754–1755 (1999).
    [Crossref]
  8. S. Norimatsu and M. Maruoka, “Accurate Q-factor estimation of optically amplified systems in the presence of waveform distortions,” J. Lightwave Technol. 20, 19–27 (2002).
    [Crossref]
  9. Lei Ding, Wen-De Zhong, Yixin Wang, and Yaolong Sam, “Optical quality monitoring method based on sub-harmonically asynchronous sampling,” in Proceedings of 1st International Conference on Optical Communications and Networks,C. G. Omidyar, H. G. Shiraz, and W. D. Zhong, ed. (Singapore, 2002), pp. 299–301.
  10. D. R. Anderson, D. J. Sweenet, and T. A. Williams, Introduction to Statistic: An Applications Approach (West Publishing Company, Minnesota, 1981), pp. 348–352.
  11. “Documentation for MathWorks Products,” http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/curvefit.shtml

2003 (1)

I. Shake, H. Takara, and S. Kawanishi, “Simple Q factor monitoring for BER estimation using opened eye diagrams captured by high-speed asynchronous electrooptical sampling,” Photonic. Technol. Lett. 15, 620–622, (2003).
[Crossref]

2002 (1)

2000 (1)

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

1999 (2)

S. Ohteru and N. Takachio, “Optical signal quality monitor using direct Q-factor measurement,” Photonic. Technol. Lett. 11, 1307–1309 (1999).
[Crossref]

M. Rasztovits-Wiech, K. Studer, and W. R. Leeb, “Bit error probability estimation algorithm for signal supervision in all-optical networks,” Electron. Lett. 35, 1754–1755 (1999).
[Crossref]

1998 (1)

I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
[Crossref]

1996 (1)

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

1994 (1)

C. J. Anderson and J. A. Lyle, “Technique for evaluating system performance using Q in numerical simulations exhibiting intersymbol interference,” Electron. Lett. 30, 71–72 (1994).
[Crossref]

Anderson, C. J.

C. J. Anderson and J. A. Lyle, “Technique for evaluating system performance using Q in numerical simulations exhibiting intersymbol interference,” Electron. Lett. 30, 71–72 (1994).
[Crossref]

Anderson, D. R.

D. R. Anderson, D. J. Sweenet, and T. A. Williams, Introduction to Statistic: An Applications Approach (West Publishing Company, Minnesota, 1981), pp. 348–352.

Ding, Lei

Lei Ding, Wen-De Zhong, Yixin Wang, and Yaolong Sam, “Optical quality monitoring method based on sub-harmonically asynchronous sampling,” in Proceedings of 1st International Conference on Optical Communications and Networks,C. G. Omidyar, H. G. Shiraz, and W. D. Zhong, ed. (Singapore, 2002), pp. 299–301.

Kawanishi, S.

I. Shake, H. Takara, and S. Kawanishi, “Simple Q factor monitoring for BER estimation using opened eye diagrams captured by high-speed asynchronous electrooptical sampling,” Photonic. Technol. Lett. 15, 620–622, (2003).
[Crossref]

I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
[Crossref]

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

Kitoh, T.

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

Leeb, W. R.

M. Rasztovits-Wiech, K. Studer, and W. R. Leeb, “Bit error probability estimation algorithm for signal supervision in all-optical networks,” Electron. Lett. 35, 1754–1755 (1999).
[Crossref]

Lyle, J. A.

C. J. Anderson and J. A. Lyle, “Technique for evaluating system performance using Q in numerical simulations exhibiting intersymbol interference,” Electron. Lett. 30, 71–72 (1994).
[Crossref]

Maruoka, M.

Morioka, T.

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

Norimatsu, S.

Ohteru, S.

S. Ohteru and N. Takachio, “Optical signal quality monitor using direct Q-factor measurement,” Photonic. Technol. Lett. 11, 1307–1309 (1999).
[Crossref]

Otani, E.

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

Rasztovits-Wiech, M.

M. Rasztovits-Wiech, K. Studer, and W. R. Leeb, “Bit error probability estimation algorithm for signal supervision in all-optical networks,” Electron. Lett. 35, 1754–1755 (1999).
[Crossref]

Sam, Yaolong

Lei Ding, Wen-De Zhong, Yixin Wang, and Yaolong Sam, “Optical quality monitoring method based on sub-harmonically asynchronous sampling,” in Proceedings of 1st International Conference on Optical Communications and Networks,C. G. Omidyar, H. G. Shiraz, and W. D. Zhong, ed. (Singapore, 2002), pp. 299–301.

Saruwatari, M.

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

Shake, I.

I. Shake, H. Takara, and S. Kawanishi, “Simple Q factor monitoring for BER estimation using opened eye diagrams captured by high-speed asynchronous electrooptical sampling,” Photonic. Technol. Lett. 15, 620–622, (2003).
[Crossref]

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
[Crossref]

Studer, K.

M. Rasztovits-Wiech, K. Studer, and W. R. Leeb, “Bit error probability estimation algorithm for signal supervision in all-optical networks,” Electron. Lett. 35, 1754–1755 (1999).
[Crossref]

Sweenet, D. J.

D. R. Anderson, D. J. Sweenet, and T. A. Williams, Introduction to Statistic: An Applications Approach (West Publishing Company, Minnesota, 1981), pp. 348–352.

Takachio, N.

S. Ohteru and N. Takachio, “Optical signal quality monitor using direct Q-factor measurement,” Photonic. Technol. Lett. 11, 1307–1309 (1999).
[Crossref]

Takara, H.

I. Shake, H. Takara, and S. Kawanishi, “Simple Q factor monitoring for BER estimation using opened eye diagrams captured by high-speed asynchronous electrooptical sampling,” Photonic. Technol. Lett. 15, 620–622, (2003).
[Crossref]

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
[Crossref]

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

Tomaru, S.

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

Uchiyama, K.

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

Wang, Yixin

Lei Ding, Wen-De Zhong, Yixin Wang, and Yaolong Sam, “Optical quality monitoring method based on sub-harmonically asynchronous sampling,” in Proceedings of 1st International Conference on Optical Communications and Networks,C. G. Omidyar, H. G. Shiraz, and W. D. Zhong, ed. (Singapore, 2002), pp. 299–301.

Williams, T. A.

D. R. Anderson, D. J. Sweenet, and T. A. Williams, Introduction to Statistic: An Applications Approach (West Publishing Company, Minnesota, 1981), pp. 348–352.

Yamabayashi, Y.

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
[Crossref]

Yokoo, A.

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

Zhong, Wen-De

Lei Ding, Wen-De Zhong, Yixin Wang, and Yaolong Sam, “Optical quality monitoring method based on sub-harmonically asynchronous sampling,” in Proceedings of 1st International Conference on Optical Communications and Networks,C. G. Omidyar, H. G. Shiraz, and W. D. Zhong, ed. (Singapore, 2002), pp. 299–301.

Electron. Lett. (5)

H. Takara, S. Kawanishi, A. Yokoo, S. Tomaru, T. Kitoh, and M. Saruwatari, “100Gbit/s optical signal eye-diagram measurement with optical sampling using organic nonlinear optical crystal,” Electron. Lett. 32, 2256–2258 (1996).
[Crossref]

I. Shake, H. Takara, S. Kawanishi, and Y. Yamabayashi, “Optical signal quality monitoring method based on optical sampling,” Electron. Lett. 34, 2152–2154 (1998).
[Crossref]

I. Shake, E. Otani, H. Takara, K. Uchiyama, Y. Yamabayashi, and T. Morioka, “Bit rate flexible quality monitoring of 10 to 160Gbit/s optical signals based on optical sampling technique,” Electron. Lett. 36, 2087–2088 (2000).
[Crossref]

C. J. Anderson and J. A. Lyle, “Technique for evaluating system performance using Q in numerical simulations exhibiting intersymbol interference,” Electron. Lett. 30, 71–72 (1994).
[Crossref]

M. Rasztovits-Wiech, K. Studer, and W. R. Leeb, “Bit error probability estimation algorithm for signal supervision in all-optical networks,” Electron. Lett. 35, 1754–1755 (1999).
[Crossref]

J. Lightwave Technol. (1)

Photonic. Technol. Lett. (2)

I. Shake, H. Takara, and S. Kawanishi, “Simple Q factor monitoring for BER estimation using opened eye diagrams captured by high-speed asynchronous electrooptical sampling,” Photonic. Technol. Lett. 15, 620–622, (2003).
[Crossref]

S. Ohteru and N. Takachio, “Optical signal quality monitor using direct Q-factor measurement,” Photonic. Technol. Lett. 11, 1307–1309 (1999).
[Crossref]

Other (3)

Lei Ding, Wen-De Zhong, Yixin Wang, and Yaolong Sam, “Optical quality monitoring method based on sub-harmonically asynchronous sampling,” in Proceedings of 1st International Conference on Optical Communications and Networks,C. G. Omidyar, H. G. Shiraz, and W. D. Zhong, ed. (Singapore, 2002), pp. 299–301.

D. R. Anderson, D. J. Sweenet, and T. A. Williams, Introduction to Statistic: An Applications Approach (West Publishing Company, Minnesota, 1981), pp. 348–352.

“Documentation for MathWorks Products,” http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/curvefit.shtml

Cited By

OSA participates in Crossref's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (4)

Fig. 1.
Fig. 1.

Signal’s histogram as superposition of Gaussian curves.

Fig. 2.
Fig. 2.

Experimental setup for BER monitoring.

Fig. 3.
Fig. 3.

BER versus the received power for different crosstalk levels: (A) -20DB; (B) -23DB; (C) -25DB; (D) -30DB ▪ MEASURED BER; ∘ BER ESTIMATED WITH NEW METHOD; ✳BER ESTIMATED WITH ONE GAUSSIAN FUNCTION

Fig. 4.
Fig. 4.

Difference between estimated BER and measured BER for different crosstalk levels: ◇-20dB; ▪-23dB; × -25dB; ∘;-30dB

Equations (5)

Equations on this page are rendered with MathJax. Learn more.

BER = 1 2 erfc [ μ 1 μ 0 2 ( σ 1 + σ 0 ) ]
f 1 ( x ) = m = 1 M A 1 , m σ 1 , m · 2 π · exp ( ( x μ 1 , m 2 σ 1 , m ) 2 )
f 0 ( x ) = n = 1 M A 0 , n σ 0 , n · 2 π · exp ( ( x μ 0 , n 2 σ 0 , n ) 2 )
m = 1 M A 1 , m = n = 1 N A 0 , n = 0.5
BER = 1 2 · [ m = 1 M A 1 , m · erfc ( μ 1 , m D 2 σ 1 , m ) + n = 1 N A 0 , n · erfc ( D μ 0 , n 2 σ 0 , n ) ]

Metrics