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Level Crossing Rate in Land Mobile Satellite Channel with a Modified Nakagami-Lognormal Distribution

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Advances in Computing and Communications (ACC 2011)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 192))

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Abstract

A modified Nakagami-lognormal distribution has been proposed to represent statistical nature of land mobile satellite (LMS) channel. The normal or Gaussian variable associated with lognormal distribution is taken to be correlated with its time derivative. It does not change the probability density function but modifies the expression of level crossing rate (LCR), which is derived in this paper. The proposed model takes the conventional Nakagami-lognormal model as its special case which can be achieved by setting the correlation coefficient to zero. This correlation coefficient provides an extra degree of freedom in modeling the LMS channel. The effect of this correlation coefficient and other important parameters on LCR, computed from derived expression, has been depicted with LCR curves.

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References

  1. Rappaport, T.S.: Wireless Communications, 2nd edn. Prentice-Hall, NJ (2002)

    Google Scholar 

  2. Egli, J.J.: Radio propagation above 40 MC over irregular terrain. In: Proc. IRE, vol. 45(10), pp. 1383–1391 (1957)

    Google Scholar 

  3. Cox, D.C., Murray, R.R., Norris, A.W.: 800 MHz attenuation measured in and around suburban houses. Bell Syst. Tech. J. 63(6), 921–954 (1984)

    Google Scholar 

  4. Goldhirsh, J., Vogel, W.J.: Mobile satellite system fade statistics for shadowing and multipath from roadside trees at UHF and L-band. IEEE Trans. Antennas Propag. 37(4), 489–498 (1989)

    Article  Google Scholar 

  5. Loo, C.: A statistical model for a land mobile satellite link. IEEE Trans. Veh. Technol. 34(3), 122–127 (1985)

    Article  Google Scholar 

  6. Pätzold, M., Li, Y., Laue, F.: A study of a land mobile satellite channel model with asymmetrical doppler power spectrum and lognormally distributed line-of-sight component. IEEE Trans. Veh. Technol. 47(1), 297–310 (1998)

    Article  Google Scholar 

  7. Corazza, G.E., Vatalaro, F.: A statistical model for land mobile satellite channels and its application to nongeostationary orbit systems. IEEE Trans. Veh. Technol. 43(3), 738–742 (1994)

    Article  Google Scholar 

  8. Vatalaro, F.: Generalised Rice-lognormal channel model for wireless communications. Electron. Lett. 31(22), 1899–1900 (1995)

    Article  Google Scholar 

  9. Hwang, S.-H., Kim, K.-J., Ahn, J.-Y., Whang, K.-C.: A channel model for nongeostationary orbiting satellite system. In: Proc. IEEE Veh. Technol. Conf., vol. 1, pp. 41–45 (1997)

    Google Scholar 

  10. Nakagami, M.: The m-distribution - a general formula of intensity distribution of rapid fading. In: Hoffman, W.G. (ed.) Statistical Methods in Radio Wave Propagation, pp. 3–36. Pergamon Press, Oxford (1960)

    Chapter  Google Scholar 

  11. Tjhung, T.T., Chai, C.C.: Fade statistics in Nakagami-lognormal channels. IEEE Trans. Wireless Commun. 47(12), 1769–1772 (1999)

    Article  Google Scholar 

  12. Yacoub, M.D., Bautista, J.E.V., Guerra de Rezende Guedes, L.: On higher order statistics of the Nakagami-m distribution. IEEE Trans. Veh. Technol. 48(3), 790–794 (1999)

    Article  Google Scholar 

  13. Youssef, N., Munakata, T., Takeda, M.: Fade statistics in Nakagami fading environments. In: Proc. IEEE 4th Int. Symp. Spread Spectrum Techniques and Applications, Mainz, Germany, vol. 3, pp. 1244–1247 (1996)

    Google Scholar 

  14. Leon-Garcia, A.: Probability and Random Processes for Electrical Engineering, 2nd edn. Pearson Education, NJ (2007)

    MATH  Google Scholar 

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Hazra, S., Mitra, A. (2011). Level Crossing Rate in Land Mobile Satellite Channel with a Modified Nakagami-Lognormal Distribution. In: Abraham, A., Mauri, J.L., Buford, J.F., Suzuki, J., Thampi, S.M. (eds) Advances in Computing and Communications. ACC 2011. Communications in Computer and Information Science, vol 192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22720-2_63

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  • DOI: https://doi.org/10.1007/978-3-642-22720-2_63

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-22719-6

  • Online ISBN: 978-3-642-22720-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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