Practical multiuser diversity with outdated channel feedback

Inspired by the information theoretic results concerning multiuser diversity, we address practical issues in implementing multiuser diversity in a multiple access wireless setting. Considering a channel-assigning strategy that assigns the channel only to the user with the best instantaneous SNR , our emphasis is on the effects of channel feedback delay in downlink transmissions. A finite set of M-ary quadrature amplitude modulation (M-QAM) constellations is adopted and a constant transmit power is assumed in this practical multiuser adaptive modulation scheme. Based on the closed-form expressions for average bit error rate (BER) and average data rate, we illustrate the impact of channel feedback delay on the achievable multiuser diversity gain with the number of users. Simple and accurate asymptotic approximations are also provided in the limit of large numbers of users. Focusing on different applications, we propose two optimization criteria for the switching thresholds, based on either an average BER, or an outage probability constraint. Two novel constant power, variable rate M-QAM schemes that are less sensitive to feedback delay are proposed using the optimal switching thresholds, which are derived to maximize the average data rate subject to these two constraints, respectively. To obtain a certain degree of fairness among the users, we also consider a fair channel-assigning strategy that assigns the channel to only the user with the greatest normalized SNR.

[1]  Mohamed-Slim Alouini,et al.  Adaptive M-Qam Modulation Over Nakagami Fading Channels , 1997 .

[2]  Qian Ma,et al.  Practical multiuser diversity with fair channel assignment , 2004, 2004 IEEE International Conference on Acoustics, Speech, and Signal Processing.

[3]  Raymond Knopp,et al.  Information capacity and power control in single-cell multiuser communications , 1995, Proceedings IEEE International Conference on Communications ICC '95.

[4]  Jack M. Holtzman,et al.  Asymptotic analysis of proportional fair algorithm , 2001, 12th IEEE International Symposium on Personal, Indoor and Mobile Radio Communications. PIMRC 2001. Proceedings (Cat. No.01TH8598).

[5]  Enrique Castillo Extreme value theory in engineering , 1988 .

[6]  I. S. Gradshteyn Table of Integrals, Series and Products, Corrected and Enlarged Edition , 1980 .

[7]  A. Goldsmith,et al.  Variable-rate variable-power MQAM for fading channels , 1996, Proceedings of Vehicular Technology Conference - VTC.

[8]  David Tse,et al.  Optimal power allocation over parallel Gaussian broadcast channels , 1997, Proceedings of IEEE International Symposium on Information Theory.

[9]  H. A. David,et al.  Order Statistics (2nd ed). , 1981 .

[10]  Andrea J. Goldsmith,et al.  Degrees of freedom in adaptive modulation: a unified view , 2001, IEEE Trans. Commun..

[11]  Mohamed-Slim Alouini,et al.  Digital Communication Over Fading Channels: A Unified Approach to Performance Analysis , 2000 .

[12]  Ali Abdi,et al.  Estimation of Doppler spread and signal strength in mobile communications with applications to handoff and adaptive transmission , 2001, Wirel. Commun. Mob. Comput..

[13]  Dennis Goeckel,et al.  Adaptive coding for time-varying channels using outdated fading estimates , 1999, IEEE Trans. Commun..

[14]  Laurence B. Milstein,et al.  Multiuser diversity-mobility tradeoff: modeling and performance analysis of a proportional fair scheduling , 2002, Global Telecommunications Conference, 2002. GLOBECOM '02. IEEE.

[15]  Hans D. Hallen,et al.  Long-range prediction of fading signals , 2000, IEEE Signal Process. Mag..

[16]  Qian Ma,et al.  Multiuser diversity with outdated channel feedback , 2004, 2004 IEEE Wireless Communications and Networking Conference (IEEE Cat. No.04TH8733).

[17]  Lajos Hanzo,et al.  Optimum mode-switching-assisted constant-power single- and multicarrier adaptive modulation , 2003, IEEE Trans. Veh. Technol..

[18]  I. S. Gradshteyn,et al.  Table of Integrals, Series, and Products , 1976 .

[19]  David Tse,et al.  Opportunistic beamforming using dumb antennas , 2002, IEEE Trans. Inf. Theory.