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

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References

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  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, 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,�?? <a href="http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/curvefit.shtml">http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/curvefit.shtml</a>

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)

Optical Communications and Networks (1)

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, W. D. Zhong, ed. (Singapore, 2002), pp. 299-301.

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 (2)

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,�?? <a href="http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/curvefit.shtml">http://www.mathworks.com/access/helpdesk/help/toolbox/curvefit/curvefit.shtml</a>

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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)

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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 ) ]

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