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Faster-than-Nyquist signaling: on linear and non-linear reduced-complexity turbo equalization

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Abstract

In the framework of digital video broadcasting by satellite-second generation (DVB-S2), we analyze a faster-than-Nyquist (FTN) system based on turbo equalization and low-density parity-check (LDPC) codes. Truncated maximum a posteriori and minimum mean square error equalizers provide a reduced-complexity implementation of the FTN system. On the other hand, LDPC codes allow us to demonstrate attractive performance results over an additive white Gaussian noise channel while increasing spectral efficiency beyond the Nyquist rate and keeping a complexity comparable to that of a current DVB-S2 modem.

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Notes

  1. Such condition is sometimes not fulfilled and an approximate factorization is performed.

References

  1. Bahl, L., Cocke, J., Jelinek, F., & Raviv, J. (2006). Optimal decoding of linear codes for minimizing symbol error rate (corresp.). IEEE Transactions on Information Theory, 20(2), 284–287. doi:10.1109/TIT.1974.1055186.

    Article  MATH  Google Scholar 

  2. Barry, J., Lee, E., & Messerschmitt, D. (2004). Digital communication (3rd ed.). berlin: Springer. doi:10.1007/978-1-4615-0227-2.

    Book  Google Scholar 

  3. Christensen, O. (2008). Frames and bases: An introductory course. Basel: Birkhauser.

    Book  MATH  Google Scholar 

  4. Colavolpe, G., & Barbieri, A. (2005). On MAP symbol detection for ISI channels using the Ungerboeck observation model. IEEE Communications Letters, 9(8), 720–722. doi:10.1109/LCOMM.2005.1496594.

    Article  Google Scholar 

  5. Douillard, C., Jézéquel, M., Berrou, C., Picart, A., Didier, P., & Glavieux, A. (1995). Iterative correction of intersymbol interference: Turbo-equalization. European Transactions on Telecommunications, 6(5), 507–511. doi:10.1002/ett.4460060506.

    Article  Google Scholar 

  6. Emrick, R., Cruz, P., Carvalho, N., Gao, S., Quay, R., & Waltereit, P. (2014). The sky’s the limit: Key technology and market trends in satellite communications. Microwave Magazine, IEEE, 15(2), 65–78. doi:10.1109/MMM.2013.2296212.

    Article  Google Scholar 

  7. ETSI. (2009). EN 302 307 digital video broadcasting (DVB). In Second generation framing structure, channel coding and modulation systems for Broadcasting, Interactive services, News Gathering and other broadband satellite applications (DVB-S2).

  8. ETSI. (2014). EN 302 307-2 digital video broadcasting (DVB). Second generation framing structure, channel coding and modulation systems for Broadcasting, Interactive Services, News Gathering and other broadband satellite applications Part II: S2—Extensions (DVB-S2X).

  9. Forney, G. (1972). Maximum-likelihood sequence estimation of digital sequences in the presence of intersymbol interference. IEEE Transactions on Information Theory, 18(3), 363–378.

    Article  MathSciNet  MATH  Google Scholar 

  10. Hagenauer, J. (2004). The EXIT chart—introduction to extrinsic information transfer in iterative processing. In: Proceedings of 12th European signal processing conference (EUSIPCO) (pp. 1541–1548).

  11. Koetter, R., Singer, A., & Tuchler, M. (2004). Turbo equalization. Signal Processing Magazine, IEEE, 21(1), 67–80. doi:10.1109/MSP.2004.1267050.

    Article  Google Scholar 

  12. Liveris, A., & Georghiades, C. (2003). Exploiting faster-than-Nyquist signaling. IEEE Transactions on Communications, 51(9), 1502–1511. doi:10.1109/TCOMM.2003.816943.

    Article  Google Scholar 

  13. Maalouli, G., & Bannister, B. (2014). Performance analysis of a MMSE turbo equalizer with LDPC in a FTN channel with application to digital video broadcast. In: 2014 48th Asilomar conference on signals, systems and computers (pp. 1871–1875). doi:10.1109/ACSSC.2014.7094793

  14. Mazo, E. (1975). Faster-than-Nyquist signaling. The Bell System Technical Journal, 54, 1451–1462.

    Article  MathSciNet  MATH  Google Scholar 

  15. McGuire, M., & Sima, M. (2010). Discrete time faster-than-Nyquist signalling. In: Global telecommunications conference (GLOBECOM 2010), 2010 IEEE (pp. 1 –5). doi:10.1109/GLOCOM.2010.5683272

  16. Nyquist, H. (1928). Certain topics in telegraph transmission theory. Transactions of the American Institute of Electrical Engineers, 47(2), 617–644. doi:10.1109/T-AIEE.1928.5055024.

    Article  Google Scholar 

  17. Oppenheim, A., Schafer, R., & Buck, J. (2008). Discrete-time signal processing (2nd ed.). London: Pearson Higher Education.

    Google Scholar 

  18. Pham, N., Anderson, J., Rusek, F., Freixe, J., & Bonnaud, A. (2013). Exploring faster-than-Nyquist for satellite direct broadcasting. In AIAA international communications satellite systems conference (pp. 16–26).

  19. Prlja, A., & Anderson, J. (2012). Reduced-complexity receivers for strongly narrowband intersymbol interference introduced by faster-than-Nyquist signaling. IEEE Transactions on Communications, 60(9), 2591–2601. doi:10.1109/TCOMM.2012.070912.110296.

    Article  Google Scholar 

  20. Rusek, F., Loncar, M., & Prlja, A. (2007). A comparison of ungerboeck and forney models for reduced-complexity isi equalization. In Global telecommunications conference, 2007. GLOBECOM ’07. IEEE (pp. 1431–1436). doi:10.1109/GLOCOM.2007.275

  21. Selesnick, I. (2012). Spectral factorization, polynomial root finding and the leja ordering. Lecture Notes. http://eeweb.poly.edu/iselesni/EL713/sfact/sfact.pdf

  22. Tüchler, M., Koetter, R., & Singer, A. (2002). Turbo equalization: principles and new results. IEEE Transactions on Communications, 50(5), 754–767. doi:10.1109/TCOMM.2002.1006557.

    Article  Google Scholar 

  23. Tüchler, M., & Singer, A. (2011). Turbo equalization: An overview. IEEE Transactions on Information Theory, 57(2), 920–952. doi:10.1109/TIT.2010.2096033.

    Article  MathSciNet  Google Scholar 

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Acknowledgements

This work has been supported by the Direction Générale de l’Armement (DGA) under the CIFRE Grant 10/2015/DGA.

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Correspondence to Albert Abelló.

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Abelló, A., Roque, D., Freixe, JM. et al. Faster-than-Nyquist signaling: on linear and non-linear reduced-complexity turbo equalization. Analog Integr Circ Sig Process 91, 267–276 (2017). https://doi.org/10.1007/s10470-017-0937-z

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