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Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 19, Iss. 27 — Dec. 19, 2011
  • pp: 26600–26609

Faster-than-Nyquist and beyond: how to improve spectral efficiency by accepting interference

Giulio Colavolpe, Tommaso Foggi, Andrea Modenini, and Amina Piemontese  »View Author Affiliations

Optics Express, Vol. 19, Issue 27, pp. 26600-26609 (2011)

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We investigate the application of time and frequency packing techniques, an extension of the classical faster-than-Nyquist signaling, to long-haul optical links. These techniques provide a significant spectral efficiency increase and represent a viable alternative to overcome the theoretical and technological issues related to the use of high-order modulation formats. Adopting these techniques, we successfully demonstrate through simulations the transmission of 1 Tbps over 200 GHz bandwidth in a realistic (nonlinear) long-haul optical link.

© 2011 OSA

OCIS Codes
(060.1660) Fiber optics and optical communications : Coherent communications
(060.4510) Fiber optics and optical communications : Optical communications

ToC Category:
Transmission Systems and Network Elements

Original Manuscript: September 30, 2011
Revised Manuscript: November 28, 2011
Manuscript Accepted: November 29, 2011
Published: December 14, 2011

Virtual Issues
European Conference on Optical Communication 2011 (2011) Optics Express

Giulio Colavolpe, Tommaso Foggi, Andrea Modenini, and Amina Piemontese, "Faster-than-Nyquist and beyond: how to improve spectral efficiency by accepting interference," Opt. Express 19, 26600-26609 (2011)

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  1. S. Chandrasekhar and X. Liu, “Enabling components for future high-speed coherent communication systems,” in Proc. Optical Fiber Commun. Conf. (OFC’09) (Los Angeles, CA, USA, 2011), Paper OMU5.
  2. G. Colavolpe, T. Foggi, E. Forestieri, and G. Prati, “Robust multilevel coherent optical systems with linear processing at the receiver,” J. Lightwave Technol.27, 2357–2369 (2009). [CrossRef]
  3. J. Zhao and A. Ellis, “Electronic impairment mitigation in optically multiplexed multicarrier systems,” J. Light-wave Technol.29, 278–290 (2011). [CrossRef]
  4. G. Bosco, V. Curri, A. Carena, P. Poggiolini, and F. Forghieri, “On the performance of nyquist-WDM terabit superchannels based on PM-QPSK, PM-8PSK or PM-16QAM subcarriers,” J. Lightwave Technol.29, 53–61 (2011). [CrossRef]
  5. J. E. Mazo, “Faster-than-Nyquist signaling,” Bell System Tech. J.54, 1450–1462 (1975).
  6. F. Rusek and J. B. Anderson, “The two dimensional Mazo limit,” in Proc. IEEE International Symposium on Information Theory, (Adelaide, Australia, 2005), pp. 970–974.
  7. A. Barbieri, D. Fertonani, and G. Colavolpe, “Time-frequency packing for linear modulations: spectral efficiency and practical detection schemes,” IEEE Trans. Commun.57, 2951–2959 (2009).
  8. N. Merhav, G. Kaplan, A. Lapidoth, and S. Shamai, “On information rates for mismatched decoders,” IEEE Trans. Inform. Theory40, 1953–1967 (1994). [CrossRef]
  9. D. M. Arnold, H.-A. Loeliger, P. O. Vontobel, A. Kavčić, and W. Zeng, “Simulation-based computation of information rates for channels with memory,” IEEE Trans. Inform. Theory52, 3498–3508 (2006). [CrossRef]
  10. G. D. Forney, “Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference,” IEEE Trans. Inform. Theory18, 284–287 (1972). [CrossRef]
  11. L. R. Bahl, L. R. Cocke, F. Jelinek, and J. Raviv, “Optimal decoding of linear codes for minimizing symbol error rate,” IEEE Trans. Inform. Theory20, 284–287 (1974). [CrossRef]
  12. G. Colavolpe and A. Barbieri, “On MAP symbol detection for ISI channels using the Ungerboeck observation model,” IEEE Commun. Lett.9, 720–722 (2005). [CrossRef]
  13. G. Ungerboeck, “Adaptive maximum likelihood receiver for carrier-modulated data-transmission systems,” IEEE Trans. Commun.com-22, 624–636 (1974). [CrossRef]
  14. F. Rusek and D. Fertonani, “Lower bounds on the information rate of intersymbol interference channels based on the ungerboeck observation model,” in Proc. IEEE International Symposium on Information Theory (2009).
  15. G. Colavolpe, D. Fertonani, and A. Piemontese, “SISO detection over linear channels with linear complexity in the number of interferers,” IEEE J. Sel. Top. Signal Process. (submitted).
  16. A. Barbieri, G. Colavolpe, T. Foggi, E. Forestieri, and G. Prati, “OFDM vs. single-carrier transmission for 100 Gbps optical communication,” J. Lightwave Technol.28, 2537–2551 (2010). [CrossRef]

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