OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 15, Iss. 11 — May. 28, 2007
  • pp: 6790–6797

Optics InfoBase > Optics Express > Volume 15 > Issue 11 > Page 6790

Quantum limit of optimum four-level ASK signals with direct detection optically preamplified receivers

Wei-Ren Peng and Sien Chi  »View Author Affiliations


Optics Express, Vol. 15, Issue 11, pp. 6790-6797 (2007)
http://dx.doi.org/10.1364/OE.15.006790


View Full Text Article

Enhanced HTML    Acrobat PDF (331 KB)


Advanced Search

Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We analytically obtain the exact fundamental limit of 4-level amplitude shifted keying formats (4ASK) with direct detection optically preamplified receivers. The optimum multilevel spacing and the corresponding decision thresholds, which depend both on the signal to noise ratio and optical bandwidth, are obtained numerically considering the Chi-squared distribution of each level. The quantum limit under the optimum level spacing is 127.5 photons/bit, which is about 0.2 dB smaller than the results by the Gaussian approximation. Over a broad range of the signal to noise ratio and the optical bandwidth, we have found that not only the bit error rate but also the optimum level spacing are well predicted by Gaussian method, although the three decision thresholds are all underestimated.

© 2007 Optical Society of America

OCIS Codes
(060.2330) Fiber optics and optical communications : Fiber optics communications
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: January 29, 2007
Revised Manuscript: March 16, 2007
Manuscript Accepted: March 21, 2007
Published: May 18, 2007

Citation
Wei-Ren Peng and Sien Chi, "Quantum limit of optimum four-level ASK signals with direct detection optically preamplified receivers," Opt. Express 15, 6790-6797 (2007)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-15-11-6790


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. S. Walklin and J. Conradi, "Multilevel signaling for increasing the reach of 10Gbps lightwave systems," J. Lightwave Technol. 17, 2235 (1999). [CrossRef]
  2. S. K. Ibrahim, S. Bhandare, and R. Noe, "Narrowband 20-Gbps quaternary intensity modulation generated by duobinary 10-Gbps modulaltion in 2 quadratures," ECOC 2005 Paper Th 2.6.5.
  3. S. K. Ibrahim, S. Bhandare, and R. Noe, "20-Gbps quaternary intensity modulation based on duobinary modulation with unequal amplitude in two polarizations," IEEE Photon. Technol. Lett. 14, 1482 (2006). [CrossRef]
  4. S. K. Ibrahim, S. Bhandare, and R. Noe, "Narrowband 2x10 Gbit/s Quaternary Intensity Modulation Based on Duobinary Modulation in Two Polarizations with Unequal Amplitudes," OFC 2006 Paper OThI2.
  5. J. Zhao, L. Huo, C. K. Chan, L. K. Chen, and C. Lin, "Analytical investigation of optimization, performance bound, and chromatic dispersion tolerances of 4-amplitude-shifted keying format," OFC 2006 Paper JThB15.
  6. J. Rebola and A. V. T. Cartaxo, "On the quaternary level spacing signaling optimization for increasing the transmission distance in optical communication systems," in Proc. of ConfTele2001 3rd Conference on Telecommunications, Figueira da Foz 23, 514 (2001).
  7. N. Avlonitis, E. M. Yeatman, M. Jones, and A. Hadjifotiou, "Multilevel amplitude shift keying in dispersion uncompensated optical systems," IEE Proc. Optoelectron. 153, 101 (2006). [CrossRef]
  8. P. J. Winzer, "Optically preamplifier receiver with low quantum limit," Electron. Lett. 37, 582 (2001). [CrossRef]
  9. L. Ribeiro, J. Da Rocha, and J. Pinto, "Performance evaluation of EDFA preamplified receivers taking into account intersymbol interference," J. Lightwave Technol. 13, 225 (1995). [CrossRef]
  10. P. A. Humblet, and M. Azizoglu, "On the bit error rate of lightwave systems with optical amplifier," J. Lightwave Technol. 9, 1576 (1991). [CrossRef]
  11. D. Marcuse, "Derivation of analytical expressions for the bit-error probability in lightwave systems with optical amplifiers," J. Lightwave Technol. 8, 1816 (1990). [CrossRef]
  12. J. P. Gordon and L. F. Mollenauer, "Effects of fiber nonlinearities and amplifier spacing on ultra-long distance transmission," J. Lightwave Technol. 9, 170 (1991). [CrossRef]
  13. L. W. Couch, Digital and Analog Communication Systems (Prentice Hall, Upper Saddle River, N.J., 2001).
  14. C. W. Helstrom, "Computing the generalized Marcum Q-function," IEEE Transactions on Information Theory 38, 1422 (1992). [CrossRef]
  15. G. Bosco, A. Carena, V. Curri, R. Gaudino, and P. Poggiolini, "Quantum limit of direct-dection receivers using duobinary transmission," IEEE Photon. Technol. Lett. 15, 102 (2003). [CrossRef]
  16. J. M. Kahn and K. P. Ho, "Spectral efficiency limits and modulation/detection techniques for DWDM systems," IEEE J. Sel. Top. Quantum Electron. 10, 259 (2004). [CrossRef]
  17. G. Bosco and P. Poggiolini, "The Impact of receiver imperfections on the performance of optical direct-detection DPSK," J. Lightwave Technol. 23, 842 (2005). [CrossRef]
  18. K. Sekine, N. Kikuchi, and S. Sasaki, "Modulation parameter tolerance for 8- and 16-APSK (amplitude- and phase-shift keying) signals," OFC 2006 Paper JThB13.

Cited By

 Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Figures

Fig. 1. Fig. 2. Fig. 3.
 
Fig. 4.
 

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited