Stochastic power control for wireless systems: classical and viscosity solutions

Author

Minyi Huang ; Caines, Peter E. ; Charalambous, Charalambos D.

Author_Institution

Dept. of Electr. & Comput. Eng., McGill Univ., Montreal, Que.

Volume

2

fYear

2001

fDate

2001

Firstpage

1037

Abstract

This paper considers power control for log-normal fading channels. A rate based power set point control model and an associated performance measure are introduced. Within this framework, a stochastic optimal power control law exists and the associated value function satisfies a degenerate HJB equation in a viscosity solution sense. The HJB equation is approximated by a uniformly parabolic second order equation which has a classical solution and a suboptimal control is derived. The suboptimal control is more realistic for practical implementation

Keywords

cellular radio; code division multiple access; fading channels; power control; radio networks; stochastic systems; suboptimal control; telecommunication control; CDMA; Quality of Service; cellular telephone systems; degenerate HJB equation; energy requirements; log-normal fading channels; performance measure; rate based power set point control model; stochastic optimal power control law; stochastic power control; suboptimal control; uniformly parabolic second order equation; viscosity solutions; wireless systems; Base stations; Equations; Fading; Interference; Power control; Power engineering and energy; Signal processing; Stochastic processes; Stochastic systems; Viscosity;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2001. Proceedings of the 40th IEEE Conference on

Conference_Location

Orlando, FL

Print_ISBN

0-7803-7061-9

Type

conf

DOI

10.1109/.2001.981021

Filename

981021