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Analytical Mathematical Expression for the Channel Capacity of a Power and Rate Simultaneous Adaptive Cellular DS/FFH-CDMA Systemin a Rayleigh Fading Channel

Authors: P.Varzakas


In this paper, an accurate theoretical analysis for the achievable average channel capacity (in the Shannon sense) per user of a hybrid cellular direct-sequence/fast frequency hopping code-division multiple-access (DS/FFH-CDMA) system operating in a Rayleigh fading environment is presented. The analysis covers the downlink operation and leads to the derivation of an exact mathematical expression between the normalized average channel capacity available to each system-s user, under simultaneous optimal power and rate adaptation and the system-s parameters, as the number of hops per bit, the processing gain applied, the number of users per cell and the received signal-tonoise power ratio over the signal bandwidth. Finally, numerical results are presented to illustrate the proposed mathematical analysis.

Keywords: Adaptive systems, fading channels, Code-division multiple access, Shannon capacity

Digital Object Identifier (DOI):

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[1] A.J.Goldsmith, "The Capacity of Downlink Fading Channels with Variable Rate and Power", IEEE Trans. on Veh. Technology, vol. 46, no. 3, pp. 569-580, Aug. 1997.
[2] M.K.Simon and M.S.Alouini, Digital Communication over Fading Channels: A Unified Approach to Performance Analysis, New York: John Wiley, 2000.
[3] A. Goldsmith and P. Varaiya, "Capacity of fading channels with channel side information", IEEE Trans. on Inform. Theory, vol. 43, no.6, pp. 1986-1992, Nov. 1997.
[4] P.Varzakas and G.S.Tombras, "Spectral efficiency for a hybrid DS/FH CDMA system in cellular mobile radio", IEEE Trans. on Vehicular Technology, vol. 50, no.6, pp. 1321-1327, Nov. 2001.
[5] M. S. Alencar and I.F. Blake, "The capacity for a discrete-state Code Division Multiple Access Channel", IEEE J. Select. Areas Commun., vol. 12, no.5, pp. 925-937, June 1994.
[6] N.Livneh, R.Meidan, M.Ritz and G.Silbershatz, "Frequency hopping CDMA for cellular radio", Proc. International Commsphere Symposium, Herzilya, Israel, pp.10.5.1-10.5.6, Dec. 1991.
[7] R.G.Gallager, Information Theory and Reliable Communication, John Wiley & Sons, 1968.
[8] C.D-Amours and A.Yongacoglu, "Hybrid DS/FH-CDMA System Employing MT-FSK Modulation for Mobile Radio", PIMRC-95, pp. 164-168, Sept. 27-29, Toronto, Canada.
[9] K.S.Gilhousen, I.M.Jacobs, R.Padovani, A.Viterbi, L.A.Weaver and C.E.Wheatley, "On the capacity of a cellular CDMA system", IEEE Trans. on Veh. Technology, vol. 40, pp.303-312, 1991.
[10] J.G.Proakis, ÔÇÿDigital Communications-, 4th Edit., McGraw-Hill, 2001.
[11] P.Varzakas and G.S.Tombras, "Average channel capacity for RAKE receivers", IEE Electronics Letters, vol. 38, no.10, pp. 475- 476, May 2002.
[12] Y.Murata, R.Esmailzadeh, K.Takakusaki, E.Sourour and M.Nakagawa, "Path diversity for FFH/PSK spread-spectrum com munication systems", IEEE J. Sel. Areas in Commun., vol. 12, no.5, pp. 970-975, June 1994.
[13] W.C.Y.Lee., Mobile Communications Design Fundamentals, 2th Edit., New York: Wiley, 1993.