Abstract
Wireless communications’ main feature is the randomness of signal attenuation (fading). In this chapter we study how this randomness affects the error probability and the capacity of transmission over channels affected by lading. We also examine how the channel randomness can be used to improve performance: in fact, if the same information is conveyed through several transmission paths, this diversity allows an increase of the reliability of its reception.
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References
I. C. Abou-Faical, M. D. Trott, and S. Shamai (Shitz), “The capacity of discrete-time memoryless Rayleigh-fading channels,” IEEE Trans. Inform. Theory, Vol. 47. No. 4, pp. 1290–1301, May 2001.
A. A. Abu-Dayya and N. C. Beaulieu, “Microdiversity on Rician fading channels,” IEEE Trans. Commun., Vol. 42, No. 6, pp. 2258–2267, June 1994.
M.-S. Alouini and M. K. Simon, “Performance analysis of coherent equal gain combining over Nakagami-m fading channels,” IEEE Trans. Vehic. Technol, Vol. 50, No. 6, pp. 1149–1463, November 2001.
A. Annamalai, C. Tellambura, and V. K. Bhargava, “Exact evaluation of maximalratio and equal-gain diversity receivers for M-ary QAM on Nakagami fading channels,” IEEE Trans. Commun., Vol. 47, No. 9, pp. 1335–1344, September 1999.
N. C. Beaulieu, “An infinite series for the computation of the complementary probability distribution function of a sum of independent random variables and its application to the sum of Rayleigh random variables,” IEEE Trans. Commun., Vol. 38, No. 9, pp. 1463–1474, September 1990.
N. C. Beaulieu and A. A. Abu-Dayya, “Analysis of equal gain diversity on Nakagami fading channels,” IEEE Trans. Commun., Vol. 39, No. 2, pp. 225–234, February 1991.
S. Benedetto and E. Biglieri, Digital Transmission Principles with Wireless Applications. New York: Kluwer/Plenum, 1999.
E. Biglieri, G. Caire, and G. Taricco, “Coding vs. spreading over block fading channels,” in: Francis Swarts (Ed.), Spread Spectrum: Developments for the New Millennium. Boston, MA: Kluwer Academic, 1998.
E. Biglieri, J. Proakis, and S. Shamai (Shitz), “Fading channels: Information-theoretic aspects,” IEEE Trans. Inform. Theory, Vol. 44, No. 6, pp. 2169–2692, October 1998.
D. G. Brennan, “Linear diversity combining techniques,” IEEE Proc, Vol. 91, No. 2, pp. 331–356, February 2003.
G. Caire, G. Taricco, and E. Biglieri, “Optimal power control for the fading channel,” IEEE Trans. Inform. Theory, Vol. 45, No. 5, pp. 1468–1489, July 1999.
A. J. Goldsmith and P. P. Varaiya, “Capacity of fading channels with channel side information,” IEEE Trans. Inform. Theory, Vol. 43, No. 6, pp. 1986–1992, November 1997.
G. Kaplan and S. Shamai (Shitz), “Error probabilities for the block-fading Gaussian channel,” A.E.Ü., Vol. 49, No. 4, pp. 192–205, 1995.
R. Knopp, Coding and Multiple Access over Fading Channels, Ph.D. thesis, École Polytechnique Fédérate de Lausanne, Lausanne, Switzerland, 1997.
R. Knopp and P. A. Humblet, “On coding for the block fading channel,” IEEE Trans. Inform. Theory, Vol. 46, No. 1, pp. 189–205, January 2000.
L. Ozarow, S. Shamai, and A. D. Wyner, “Information theoretic considerations for cellular mobile radio,” IEEE Trans. Vehic. Technol, Vol. 43, No. 2, pp. 359–378, May 1994.
X. Qi, M.-S. Alouini, and Y.-C. Ko, “Closed-form analysis of dual-diversity equal-gain combining over Rayleigh fading channels,” IEEE Trans. Wireless Commun., Vol. 2, No. 6, pp. 1120–1125, November 2003.
S. Shamai (Shitz) and I. Bar-David, “The capacity of average and peak-power-limited quadrature Gaussian channels,” IEEE Trans. Inform. Theory, Vol. 41, pp. 1060–1071, July 1995.
G. Taricco and M. Elia, “Capacity of fading channel with no side information,” Electron. Lett., Vol. 33, No. 16, pp. 1368–1370, July 31, 1997.
M. Z. Win and J. H. Winters, “Analysis of hybrid selection/maximal-ratio combining in Rayleigh fading,” IEEE Trans. Commun., Vol. 47, No. 12, pp. 1773–1776, December 1999.
M. D. Yacoub, Foundations of Mobile Radio Engineering. Boca Raton, FL: CRC Press, 1993.
Q. T. Zhang, “Probability of error for equal-gain combiners over Rayleigh channels: Some closed-form solutions,” IEEE Trans. Commun., Vol. 45, No. 3, pp. 270–273, March 1997.
Q. T. Zhang, “A simple approach to probability of error for equal-gain combiners over Rayleigh channels,” IEEE Trans. Vehic. Technol., Vol. 48, No. 4, pp. 1151–1154, July 1999.
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(2005). Fading channels. In: Coding for Wireless Channels. Information Technology: Transmission, Processing and Storage. Springer, Boston, MA. https://doi.org/10.1007/1-4020-8084-0_4
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DOI: https://doi.org/10.1007/1-4020-8084-0_4
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