Abstract
In this paper we present closed-form expressions for the lower bounds of the error and outage performance of multi-hop relaying with non-regenerative relays over independent and identically distributed Weibull fading channels. The end-to-end signal-to-noise ratio (SNR) is formulated and upper bounded. Novel closed-form expressions are derived for the moment generating function (MGF), the probability density function (PDF), and the cumulative distribution function (CDF) of the bounded SNR. These statistical results are then applied to study the outage probability and the average bit-error probability. Numerical examples compare analytical and simulation results, verifying the tightness of the proposed bounds
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References
J. N. Laneman, D. N. C. Tse, and G. W. Wornell, “Cooperative diversity in wireless networks efficient protocols and outage behaviour,” IEEE Trans. Inform. Theory, vol. 50, no. 12, pp. 3062–3080, Dec. 2004.
“Distributed space-time coded protocols for exploiting cooperative diversity in wireless networks,” in Proc. Global Telecommunications Conf., vol. 1, Taipei, Taiwan, R.O.C., Nov. 2002, pp. 77–81.
A. Sendonaris, E. Erkrip, and B. Aazhang, “User cooperation diversity–Part I: System description,” IEEE Trans. Commun., vol. 51, no. 11, pp. 1927–1938, Nov. 2003.
M. O. Hasna and M.-S. Alouini, “End-to-end performance of transmission systems with relays over Rayleigh fading channels,” IEEE Trans. Wireless Commun., vol. 2, no. 6, pp. 1126–1131, Nov. 2003.
“Harmonic mean and end-to-end performance of transmission systems with relays,” IEEE Trans. Commun., vol. 52, no. 1, pp. 130–135, Jan. 2004.
“Outage probability of multihop transmission over Nakagami fading channels,” IEEE Commun. Lett., vol. 7, no. 5, pp. 216–218, May 2003.
“A performance study of dual-hop transmissions with fixed gain relays,” IEEE Trans. Wireless Commun., vol. 3, no. 6, pp. 1963–1968, Nov. 2004.
G. K. Karagiannidis, “Performance bounds of multihop wireless communications with blind relays over generalized fading channels,” IEEE Trans. Wireless Commun., to be published.
G. K. Karagiannidis, “Moments-based approach to the performance analysis of equal-gain diversity in Nakagami-m fading,” IEEE Trans. Commun., vol. 52, no. 5, pp. 685–690, May 2004.
Karagiannidis, G.K.; Tsiftsis, T.A.; Mallik, R.K.;” Bounds for multihop relayed communications in Nakagami-m fading” IEEE Trans. Commun, vol. 54, no. 1, pp. 18–22, Jan 2006
J. Boyer, D. D. Falconer, and H. Yanikomeroglu, “Multihop diversity in wireless relaying channels,” IEEE Trans. Commun., vol. 52, no. 10, pp. 1820–1830, Oct. 2004.
M.-S. Alouini and M. K. Simon, “Performance of generalized selection combining over Weibull fading channels,” in Proc. Vehicular Technology Conf., vol. 3, Atlantic City, NJ, 2001, pp. 1735–1739.
N. C. Sagias, D. A. Zogas, G. K. Karagiannidis, and G. S. Tombras, “Performance analysis of switched diversity receivers in Weibull fading,” IEE Electron. Lett., vol. 39, no. 20, pp. 1472–1474, Oct. 2003.
N. C. Sagias, P. T. Mathiopoulos, and G. S. Tombras, “Selection diversity receivers in Weibull fading: Outage probability and average signal-tonoise ratio,” Electron. Lett., vol. 39, no. 25, pp. 1859–1860, Dec. 2003.
N. C. Sagias, G. K. Karagiannidis, D. A. Zogas, P. T. Mathiopoulos, and G. S. Tombras, “Performance analysis of dual selection diversity in correlatedWeibull fading channels,” IEEE Trans. Commun., vol. 52, no. 7, pp. 1063–1067, Jul. 2004.
Salama Ikki and Mohamed. H. Ahmed “Performance analysis of wireless cooperative diversity networks over Nakagami-m channels” IEEE commun. Letter accepted to be published, 2007
I. S. Gradshteyn and I. M. Ryzhik, table of integrals, series and products San Diego, CA: Academic Press, 6th edition, 1994
V. S. Adamchik and O. I. Marichev “the algorithm for calculating integrals of hypergeometric type functions and its realization to REDUCE system” in proc. International Conference on Symbolic and Algebraic Computation, Tokyo, Japan, 1990 pp 212–224.
M. K. Simon and M.-S. Alouini, Digital Communication over Fading Channels. New York: Wiley, 2000.
Zogas, D.A., Karagiannidis, G.K., Sagias, N.C., Tsiftsis, T.A., Mathiopoulos, P.T., Kotsopoulos, S.A., “Dual hop wireless communications over Nakagami fading” IEEE Vehicular Technology Conference, 2004. VTC 2004-Spring.
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Ikki, S., Ahmed, M.H. (2007). Performance of Multi-Hop Relaying Systems over Weibull Fading Channels. In: Labiod, H., Badra, M. (eds) New Technologies, Mobility and Security. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6270-4_3
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DOI: https://doi.org/10.1007/978-1-4020-6270-4_3
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-6269-8
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