Uplink power adjustment in wireless communication systems: A stochastic control analysis

IEEE Transactions on Automatic Control

Volumn 49, Issue 10, 2004, Pages 1693-1708

  Huang, Minyi ^a   Caines, Peter E ^b,c   Malhamé, Roland P ^c,d  

^a UNIVERSITY OF MELBOURNE   (Australia)

^b MCGILL UNIVERSITY   (Canada)

^c GERAD   (Canada)

^d ÉCOLE POLYTECHNIQUE DE MONTRÉAL   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

CELLULAR TELEPHONE SYSTEMS; COMMUNICATION CHANNELS (INFORMATION THEORY); CONSTRAINT THEORY; CONTROL SYSTEM ANALYSIS; CONVERGENCE OF NUMERICAL METHODS; DYNAMIC PROGRAMMING; FADING (RADIO); HAMILTONIANS; OPTIMAL CONTROL SYSTEMS; PARAMETER ESTIMATION; POWER CONTROL; QUALITY OF SERVICE;

CHANNEL MODELING; HAMILTON-JACOBI-BELLMAN EQUATIONS; LOGNORMAL FADING CHANNELS;

STOCHASTIC CONTROL SYSTEMS;

EID: 7244219736     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2004.835388     Document Type: Article

References (45)

1. T. Alpcan, T. Basar, R. Srikant, and E. Altman, "CDMA uplink power control as a noncooperative game," in Proc. 40th IEEE Conf. Decision Control, Orlando, FL, Dec. 2001, pp. 197-202.
2. W. F. Ames, Numerical Methods for Partial Differential Equations, 3rd ed. New York: Academic, 1992.
3. R. Buche and H. J. Kushner, "Control of mobile communications with time-varying channels in heavy traffic," IEEE Trans. Automat. Contr., vol. 47, pp. 992-1003, June 2002.
4. P. E. Caines, "Continuous time stochastic adaptive control: nonexplosion, ε-consistency and stability," Syst. Control Lett., vol. 19, no. 3, pp. 169-176, 1992.
5. J.-F. Chamberland and V. V. Veeravalli, "Decentralized dynamic power control for cellular CDMA systems," IEEE Trans. Wireless Commun., vol. 2, pp. 549-559, May 2003.
6. C. D. Charalambous and N. Menemenlis, "Stochastic models for longterm multipath fading channels," in Proc. 38th IEEE Conf. Decision Control, Phoenix, AZ, Dec. 1999, pp. 4947-4952.
7. H.-F. Chen and L. Guo, Identification and Stochastic Adaptive Control. Boston, MA: Birkhäuser, 1991.
8. A. J. Coulson, G. Williamson, and R. G. Vaughan, "A statistical basis for lognormal shadowing effects in multipath fading channels," IEEE Trans. Commun., vol. 46, pp. 494-502, Apr. 1998.
9. J. Evans and D. N. C. Tse, "Large system performance of linear multiuser receivers in multipath fading channels," IEEE Trans. Inform. Theory, vol. 46, pp. 2059-2078, Sept. 2000.
10. W. H. Fleming and R. W. Rishel, Deterministic and Stochastic Optimal Control. Berlin, Germany: Springer-Verlag, 1975.
11. W. H. Fleming and H. M. Soner, Controlled Markov Processes and Viscosity Solutions. New York: Springer-Verlag, 1993.
12. A. Friedman, Partial Differential Equations of Parabolic Type. Upper Saddle River, NJ: Prentice-Hall, 1964.
13. M. Gudmundson, "Correlation model for shadow fading in mobile radio systems," Electron. Lett., vol. 27, no. 23, pp. 2145-2146, 1991.
14. S. V. Hanly and D. N. Tse, "Power control and capacity of spread spectrum wireless networks," Automatica, vol. 35, pp. 1987-2012, 1999.
15. M. L. Honig and H. V. Poor, "Adaptive interference suppression," in Wireless Communications: Signal Processing Perspective, H. V. Poor and G. W. Wornell, Eds. Upper Saddle River, NJ: Prentice-Hall, 1998, pp. 64-128.
16. M. Huang, "Stochastic control for distributed systems with applications to wireless communications," Ph.D. dissertation, Dept. Electr. Comput. Eng., McGill University, Montreal, QC, Canada, June 2003.
17. M. Huang, P. E. Caines, C. D. Charalambous, and R. P. Malhamé, "Power control in wireless systems: a stochastic control formulation," in Proc. Amer. Control Conf., Arlington, VA, June 2001, pp. 750-755.
18. M. Huang, "Stochastic power control for wireless systems: Classical and viscosity solutions," in Proc. IEEE Conf. Decision Control, Orlando, FL, Dec. 2001, pp. 1037-1042.
19. M. Huang, P. E. Caines, and R. P. Malhamé, "Degenerate stochastic control problems with exponential costs and weakly coupled dynamics: viscosity solutions and a maximum principle," SIAM J. Control Optim., 2004, submitted for publication.
20. M. Huang, "Distributed stochastic control for large-scale wireless networks in a game theoretic approach," McGill Univ., Montreal, QC, Canada, Intern. Rep., 2004.
21. M. Huang, "Individual and mass behavior in large population stochastic wireless power control problems: centralized and Nash equilibrium solutions," in Proc. 42nd IEEE Conf. Decision Control, Maui, HI, Dec. 2003, pp. 98-103.
22. M. Huang, R. P. Malhamé, and P. E. Caines, "Stochastic power control in wireless communication systems with an infinite horizon discounted cost," in Proc. Amer. Control Conf., Denver, CO, June 2003, pp. 963-968.
23. W. C. Jakes, Microwave Mobile Communications. New York: Wiley, 1974.
24. S. Kandukuri and S. Boyd, "Optimal power control in interference-limited fading wireless channels with outage-probability specifications," IEEE Trans. Wireless Commun., vol. 1, pp. 46-55, Jan. 2002.
25. O. E. Kelly, J. Lai, N. B. Mandayam, A. T. Ogielski, J. Panchal, and R. D. Yates, "Scalable parallel simulations of wireless networks with WIPPEP: Modeling of radio propagation, mobility and protocols," Mobile Networks Applicat., vol. 5, no. 3, pp. 199-208, 2000.
26. H. J. Kushner and A. J. Kleinman, "Numerical methods for the solution of the degenerated nonlinear elliptic equations arising in optimal stochastic control theory," IEEE Trans. Automat. Contr., vol. AC-13, pp. 344-353, Aug. 1968.
27. N. B. Mandayam, P. C. Chen, and J. M. Holtzman, "Minimum duration outage for cellular systems: A level crossing analysis," in Proc. 46th IEEE Conf. Vehicular Technol., Atlanta, GA, Apr. 1996, pp. 879-883.
28. D. Q. Mayne, "Parameter estimation," Automatica, vol. 3, pp. 245-255, 1966.
29. D. Mitra and J. A. Morrison, "A novel distributed power control algorithm for classes of services in cellular CDMA networks," in Advances in Wireless Communications, J. M. Holtzman and M. Zorzi, Eds. Boston, MA: Kluwer, 1998, pp. 187-202.
30. K. Pahlavan and A. H. Levesque, Wireless Information Networks. New York: Wiley, 1995.
31. W. G. Phoel and M. L. Honig, "Performance of coded DS-CDMA with pilot-assisted channel estimation and linear interference suppression," IEEE Trans. Commun., vol. 50, pp. 822-832, May 2002.
32. QUALCOMM, Inc., "An overview of the application of code division multiple access (cdma) to digital cellular systems and personal cellular networks,", Document no. EX60-10010, 1992.
33. T. S. Rappaport, Wireless Communications: Principles and Practice, 2nd ed. Upper Saddle River, NJ: Prentice-Hall, 2002.
34. W. Rudin, Real and Complex Analysis, 3rd ed. New York: McGraw-Hill, 1987.
35. L. Song, N. B. Mandayam, and Z. Gajic, "Analysis of an up/down power control algorithm for the CDMA reverse link under fading," IEEE J. Select. Areas Commun., vol. 19, pp. 277-286, Feb. 2001.
36. C. W. Sung and W. S. Wong, "A distributed fixed-step power control algorithm with quantization and active link quality protection," IEEE Trans. Veh. Technol., vol. 48, pp. 553-562, Mar. 1999.
37. C. W. Sung, "Mathematical aspects of the power control problem in mobile communication systems," in Lectures on Systems, Control, and Information, L. Guo and S. S.-T. Yau, Eds. Providence, RI: AMS /IP, 2000, vol. 17.
38. C. W. Sung, "Performance of a cooperative algorithm for power control in cellular systems with a time-varying link gain matrix," Wireless Networks, vol. 6, no. 6. pp. 429-439, 2000.
39. "Mobile station-base station compatibility standard for dual-mode wideband spread spectrum cellular system," Telecommun. Industry Association, Tech. Rep. TIA/EIA/IS-95-A, 1995.
40. H. Viswanathan, "Capacity of Markov channels with receiver CSI and delayed feedback," IEEE Trans. Inform. Theory, vol. 45, pp. 761-771, Mar. 1999.
41. A. M. Viterbi and A. J. Viterbi, "Erlang capacity of a power-controlled CDMA system," IEEE J. Select. Areas Commun., vol. 11, pp. 892-900, Sept. 1993.
42. R. D. Yates, "A framework for uplink power control in cellular radio systems," IEEE J. Select. Areas Commun., vol. 13, pp. 1341-1347, Nov. 1995.
43. J. Yong and X. Y. Zhou, Stochastic Controls: Hamiltonian Systems and HJB Equations. New York: Springer-Verlag, 1999.
44. J. Zhang, E. K. P. Chong, and I. Kontoyiannis, "Unified spatial diversity combining and power allocation for CDMA systems in multiple time-scale fading channels," IEEE J. Select. Areas Commun., vol. 19, pp. 1276-1288, July 2001.
45. M. Huang, P. E. Caines, and R. P. Malhamé, "On a class of singular stochastic control problems arising in communications and thier viscosity solutions," in Proc. IEEE Conf. Decision Control, Orlando, FL, Dec. 2001, pp. 1031-1036.