OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 23 — Nov. 5, 2012
  • pp: 25884–25901

An analytical study of the improved nonlinear tolerance of DFT-spread OFDM and its unitary-spread OFDM generalization

Gal Shulkind and Moshe Nazarathy  »View Author Affiliations


Optics Express, Vol. 20, Issue 23, pp. 25884-25901 (2012)
http://dx.doi.org/10.1364/OE.20.025884


View Full Text Article

Enhanced HTML    Acrobat PDF (1672 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

DFT-spread (DFT-S) coherent optical OFDM was numerically and experimentally shown to provide improved nonlinear tolerance over an optically amplified dispersion uncompensated fiber link, relative to both conventional coherent OFDM and single-carrier transmission. Here we provide an analytic model rigorously accounting for this numerical result and precisely predicting the optimal bandwidth per DFT-S sub-band (or equivalently the optimal number of sub-bands per optical channel) required in order to maximize the link non-linear tolerance (NLT). The NLT advantage of DFT-S OFDM is traced to the particular statistical dependency introduced among the OFDM sub-carriers by means of the DFT spreading operation. We further extend DFT-S to a unitary-spread generalized modulation format which includes as special cases the DFT-S scheme as well as a new format which we refer to as wavelet-spread (WAV-S) OFDM, replacing the spreading DFTs by Hadamard matrices which have elements +/−1 hence are multiplier-free. The extra complexity incurred in the spreading operation is almost negligible, however the performance improvement with WAV-S relative to plain OFDM is more modest than that achieved by DFT-S, which remains the preferred format for nonlinear tolerance improvement, outperforming both plain OFDM and single-carrier schemes.

© 2012 OSA

OCIS Codes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.2330) Fiber optics and optical communications : Fiber optics communications

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: September 4, 2012
Revised Manuscript: October 19, 2012
Manuscript Accepted: October 22, 2012
Published: November 1, 2012

Citation
Gal Shulkind and Moshe Nazarathy, "An analytical study of the improved nonlinear tolerance of DFT-spread OFDM and its unitary-spread OFDM generalization," Opt. Express 20, 25884-25901 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-23-25884


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. W. Shieh, Y. Tang, and B. S. Krongold, “DFT-Spread OFDM for Optical Communications,” in 9th International Conference on Optical Internet (COIN), (2010).
  2. W. Shieh and Yan Tang, “Ultrahigh-Speed Signal Transmission Over Nonlinear and Dispersive Fiber Optic Channel: The Multicarrier Advantage,” IEEE Photonics J.2(3), 276–283 (2010). [CrossRef]
  3. F. Wang and X. Wang, “Coherent Optical DFT-Spread OFDM,” in Advances in Optical Technologies (Hindawi Publishing Corporation, 2011).
  4. Y. Tang, W. Shieh, and B. S. Krongold, “DFT-Spread OFDM for Fiber Nonlinearity Mitigation,” IEEE Photon. Technol. Lett.22(16), 1250–1252 (2010). [CrossRef]
  5. Y. Tang, W. Shieh, and B. S. Krongold, “Fiber Nonlinearity Mitigation in 428-Gb / s Multiband Coherent Optical OFDM Systems,” in OFC/NFOEC - Conference on Optical Fiber Communication and the National Fiber Optic Engineers Conference, (2010).
  6. C. Li, Q. Yang, T. Jiang, Z. He, M. Luo, C. Li, X. Xiao, D. Xue, and X. Yi, “Investigation of Coherent Optical Multi-band DFT-S OFDM in Long Haul Transmission,” IEEE Photon. Technol. Lett.24, 1704–1707 (2012).
  7. Q. Yang, Z. He, Z. Yang, S. Yu, X. Yi, A. A. Amin, and W. Shieh, “Coherent optical DFT-Spread OFDM in Band-Multiplexed Transmissions, We.8.A.6,” in European Conference of Optical Communication (ECOC), (2011).
  8. Q. Yang, Z. He, Z. Yang, S. Yu, X. Yi, and W. Shieh, “Coherent optical DFT-spread OFDM transmission using orthogonal band multiplexing,” Opt. Express20(3), 2379–2385 (2012). [CrossRef] [PubMed]
  9. X. Chen, A. Li, G. Gao, and W. Shieh, “Experimental demonstration of improved fiber nonlinearity tolerance for unique-word DFT-spread OFDM systems,” Opt. Express19(27), 26198–26207 (2011). [CrossRef] [PubMed]
  10. A. Li and G. Chen, Xi, A. Guanjun, A. Amin, W. Shieh, William, B. S. Krongold, “Transmission of 1. 63-Tb/s PDM-16QAM Unique-word DFT-Spread OFDM Signal over 1, 010-km SSMF,” in OFC/NFOEC, paper OW4C.1, (2012).
  11. C. Ciochina and H. Sari, “A review of OFDMA and single-carrier FDMA,” in Wireless Conference (EW), 706– 710, (2010).
  12. X. Liu and S. Chandrasekhar, “High Spectral-Efficiency Transmission Techniques for Beyond 100-Gb/s Systems, SPMA1,” in SPPCom - Signal Processing in Photonic Communications - OSA Technical Digest, 1–36, (2011).
  13. M. Nazarathy, J. Khurgin, R. Weidenfeld, Y. Meiman, P. Cho, R. Noe, I. Shpantzer, and V. Karagodsky, “Phased-array cancellation of nonlinear FWM in coherent OFDM dispersive multi-span links,” Opt. Express16(20), 15777–15810 (2008). [CrossRef] [PubMed]
  14. S. Kumar, Impact of Nonlinearities on Fiber Optic Communications, Ch. 3 (Springer, 2011).
  15. M. P. H. Jun and J. Cho, “PAPR Reduction in OFDM transmission using Hadamard Transform,” in IEEE International Conference on Communications1, 430–433, (2000).
  16. Y. Wu, C. K. Ho, and S. Sun, “On some properties of Walsh-Hadamard transformed OFDM,” in Proceedings IEEE 56th Vehicular Technology Conference4, 2096–2100, (2002).
  17. B. Porat, A Course in Digital Signal Processing (John Wiley and Sons, 1997).
  18. H. Myung, J. Lim, and D. Godman, “Peak-To-Average Power Ratio of Single Carrier FDMA Signals with Pulse Shapingý,” in IEEE 17th International Symposium on Personal, Indoor and Mobile Radio Communications, (2006)ý, pp. 1–5.
  19. B. Goebel, S. Hellerbrand, N. Haufe, and N. Hanik, “PAPR reduction techniques for coherent optical OFDM transmission,” in 2009 11th International Conference on Transparent Optical Networks1, 1–4, (2009).
  20. C. R. Berger, Y. Benlachtar, R. I. Killey, and P. A. Milder, “Theoretical and experimental evaluation of clipping and quantization noise for optical OFDM,” Opt. Express19(18), 17713–17728 (2011). [CrossRef] [PubMed]
  21. K. Peddanarappagari and M. Brandt-Pearce, “Volterra series transfer function of single-mode fibers,” J. Lightwave Technol.15(12), 2232–2241 (1997). [CrossRef]
  22. L. Liu, L. Li, Y. Huang, K. Cui, Q. Xiong, F. N. Hauske, C. Xie, and Y. Cai, “Intrachannel Nonlinearity Compensation by Inverse Volterra Series Transfer Function,” J. Lightwave Technol.30(3), 310–316 (2012). [CrossRef]
  23. A. Li, W. Shieh, R. S. Tucker, and A. Wavelet, “Wavelet Packet Transform-Based OFDM for Optical Communications,” J. Lightwave Technol.28, 3519–3528 (2010).
  24. M. H. Lee, S. Member, B. S. Rajan, and J. Y. Park, “A Generalized Reverse Jacket Transform,” IEEE Trans. Circ. Syst. II48(7), 684–690 (2001). [CrossRef]
  25. A. Aung, B. P. Ng, and S. Rahardja, “Sequency-Ordered Complex Hadamard Transform: Properties, Computational Complexity and Applications,” IEEE Trans. Sig. Process.56(8), 3562–3571 (2008). [CrossRef]

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.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited