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Turbo Decoder Based on DSC Codes for Multiple-Antenna Systems

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Advanced Communication Systems and Information Security ( ACOSIS 2019)

Abstract

In this paper, we present the contribution of the insertion of a Turbo-type channel decoder in a MIMO chain. This MIMO chain is based on Orthogonal Space-Time Block Code (OSTBC). Alamouti proposed two structures, based on the OSTBC code and having two transmitting antennas: the first structure has a single receiving antenna, that is OSTBC 2 × 1 and the second one has two receiving antennas that is OSTBC 2 × 2. The turbo-decoder is based on the Difference Set Codes-One Step Majority Logic Decodable (DSC-OSMLD); it is the DSC (21, 11) code. After the introduction of this turbo decoder in the two Alamouti’s structures, performance are noted and compared in terms of the Bit Error Rate (BER) versus the Signal-to-Noise Ratio (SNR). The obtained results show that the addition of a one receiving antenna to the 2 × 1 OSTBC structure provides a decoding gain equal to 1 dB, while the insertion of the proposed turbo decoder brings a gain of 5.5 dB at the first iteration only.

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References

  1. Alamouti, S.M.: A simple transmit diversity technique for wireless communications. IEEE J. Sel. Areas Commun. 16(18), 1451–1458 (1998)

    Article  Google Scholar 

  2. Tarokh, V., Jafarkhani, H., Calderbank, A.R.: Space-time block codes from orthogonal designs. IEEE Trans. Inf. Theory 45(15), 1456–1467 (1999)

    Google Scholar 

  3. IEEE Computer Society: Part 11: Wireless LAN Medium Access Control (MAC) and Physical Layer (PHY) Specifications (2007)

    Google Scholar 

  4. Berrou, C., Glavieux, A., Thitimajshima, P.: Near Shannon limit error correcting coding and decoding: Turbo-Codes. In: IEEE International Conference on Communication ICC 1993, vol. 3, no. 12, pp. 1064–1070, May 1993

    Google Scholar 

  5. Michel, H., Wehn, N.: Turbo-decoder quantization for UMTS. Commun. Lett. IEEE 5(12), 55–57 (2001)

    Article  Google Scholar 

  6. Khan, F.: LTE for 4G Mobile Broadband. Cambridge University Press, New York (2009)

    Book  Google Scholar 

  7. Boudaoud, A., El Haroussi, M., Abdelmounim, E.: VHDL design and FPGA implementation of a high data rate turbo decoder based on majority logic codes. Int. J. Electr. Comput. Eng. (IJECE) 7(13), 1824–1832 (2017)

    Google Scholar 

  8. Pyndiah, R., Glavieux, A., Picart, A., Jacq, S.: Near optimum decoding of product codes. In: Globecom 1994, San Francisco, vol. 1, no. 13, pp. 339–343, November–December 1994

    Google Scholar 

  9. Weldon Jr., E.: Difference-set cyclic codes. Bell Syst. Techn. J. 45, 1045–1055 (1964)

    Google Scholar 

  10. Rudolph, L.: Geometric configuration and majority logic decodable codes, Norman (1964)

    Google Scholar 

  11. Massey, J.: Threshold Decoding. MIT Press, Cambridge (1963)

    Google Scholar 

  12. Graham, R.L., MacWilliams, F.J.: On the number of information symbols in difference-set cyclic codes. Bell Syst. Tech. J. 45, 1057–1070 (1966)

    Google Scholar 

  13. MacWilliams, F., Seery, J.: The weight distributions of some minimal cyclic codes. IEEE Trans. Inform. Theory 1(2IT-27), 796–806 (1981)

    Google Scholar 

  14. Elharoussi, M., Belkasmi, M.: VHDL design and FPGA implementation of a fully parallel architecture for iterative decoder of majority logic codes for high data rate applications. J. Wirel. Netw. Commun. (JWNC) 2(14), 35–42 (2012)

    Google Scholar 

  15. Santos, I., Murillo-Fuentes, J.J.: Self and turbo iterations for MIMO receivers and large-scale systems. IEEE Wirel. Commun. Lett. 8(4), 1095–1098 (2019)

    Article  Google Scholar 

  16. Bakulin, M., Kreyndelin, V., Rog, A., Petrov, D., Melnik, S.: A new algorithm of iterative MIMO detection and decoding using linear detector and enhanced turbo procedure in iterative loop. In: 24th Conference of Open Innovations Association (FRUCT), Moscow, Russia, pp. 40–46 (2019)

    Google Scholar 

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Correspondence to Abdelghani Boudaoud .

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Boudaoud, A., El Haroussi, M., Abdelmounim, E. (2020). Turbo Decoder Based on DSC Codes for Multiple-Antenna Systems. In: Belkasmi, M., Ben-Othman, J., Li, C., Essaaidi, M. (eds) Advanced Communication Systems and Information Security. ACOSIS 2019. Communications in Computer and Information Science, vol 1264. Springer, Cham. https://doi.org/10.1007/978-3-030-61143-9_10

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  • DOI: https://doi.org/10.1007/978-3-030-61143-9_10

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  • Print ISBN: 978-3-030-61142-2

  • Online ISBN: 978-3-030-61143-9

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