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Fuzzy Model of QPSK and QAM Modulation

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Part of the book series: Studies in Computational Intelligence ((SCI,volume 369))

Abstract

In the paper, a concept of Additive Fuzzy Noise (AFN) channel is introduced. The theoretical equations are derived for Bit Error Rate (BER) and Symbol Error Rate (SER) with some digital modulation scheme in AFN channel. Following modulation are considered: Binary Phase Shift Keying (BPSK), Binary Frequency Shift Keying (BFSK), Pulse Amplitude Modulation (4PAM), Quadrature Phase Shift Keying (QPSK), Quadrature Amplitude Modulation (QAM). Fuzzy approach to these modulations is presented. The BER and SER values are calculated using possibility theory. The results obtained by fuzzy noise simulation are compared with conventional approach, where probability models are used.

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References

  1. Barry, J.R., Messerschmitt, D.G., Lee, E.A.: Digital Communication, 3rd edn. Kluwer Acad. Publish., Dordrecht (2004)

    Google Scholar 

  2. Butkiewicz, B.S.: Towards Fuzzy Fourier Transform. In: Eleventh International Conference Information Processing and Management of Uncertainty in Knowledge-based Systems, Paris, France, July 2-7 , pp. 2560–2565 (2006)

    Google Scholar 

  3. Butkiewicz, B.S.: Fuzzy approach to correlation function. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 202–211. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  4. Butkiewicz, B.S.: Fuzzy analog and discrete time invariant systems. Proc. SPIE, vol. 6937, pp.1–8 (2007) (invited paper 693736)

    Google Scholar 

  5. Butkiewicz, B.S.: An Approach to Theory of Fuzzy Discrete Signals. In: Melin, P., Castillo, O., Aguilar, L.T., Kacprzyk, J., Pedrycz, W. (eds.) IFSA 2007. LNCS (LNAI), vol. 4529, pp. 646–655. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  6. Butkiewicz, B.S.: An Approach to Theory of Fuzzy Signals, Basic Definitions. IEEE Trans. on Fuzzy Systems 16(4), 982–993 (2008)

    Article  Google Scholar 

  7. Butkiewicz, B.S.: Fuzzy digital filters with triangular norms. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds.) ICAISC 2010. LNCS(LNAI), vol. 6113, pp. 19–26. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  8. Cavers, J.: The Mobile Communication Channel. Kluwer Acad. Pubishers, Dordrecht (2000)

    Google Scholar 

  9. Cousoa, I., Sánchez, J.: Higher order models for fuzzy random variables. Fuzzy Sets and Systems (2011) (article in press)

    Google Scholar 

  10. Dubois, D., Fulloy, L., Mauris, G., Prade, H.: Probability-Possibility Transformations, Triangular Fuzzy Sets, and Probabilistic Inequalities. Reliable Computing 10, 273–297 (2004)

    Article  MathSciNet  MATH  Google Scholar 

  11. Fitz, M.P.: Fundamentals of Communications Systems (Communications Engineering). McGraw-Hill, New York (2007)

    Google Scholar 

  12. Haykin, S., Moher, M.: Communication Systems. John Wiley & Sons, Chichester (2009)

    Google Scholar 

  13. Klement, E.P., Mesiar, R., Pap, E.: Triangular norms. Kluwer Acad. Publish., Dordrecht (2000)

    MATH  Google Scholar 

  14. Proakis, J.G.: Digital Communication, 4th edn. McGraw-Hill, New York (2001)

    Google Scholar 

  15. Sudkamp, T.: On probability-possibility transformations. Fuzzy Sets and Systems 51, 73–81 (1992)

    Article  MathSciNet  MATH  Google Scholar 

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Butkiewicz, B.S. (2011). Fuzzy Model of QPSK and QAM Modulation. In: Ryżko, D., Rybiński, H., Gawrysiak, P., Kryszkiewicz, M. (eds) Emerging Intelligent Technologies in Industry. Studies in Computational Intelligence, vol 369. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22732-5_24

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  • DOI: https://doi.org/10.1007/978-3-642-22732-5_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22731-8

  • Online ISBN: 978-3-642-22732-5

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