Dynamic Discrete Power Control in Cellular Networks

Abstract

Abstract-We consider an uplink power control problem where each mobile wishes to maximize its throughput (which depends on the transmission powers of all mobiles) but has a constraint on the average power consumption. A finite number of power levels are available to each mobile. The decision of a mobile to select a particular power level may depend on its channel state. We consider two frameworks concerning the state information of the channels of other mobiles: (i) the case of full state information and (ii) the case of local state information. In each of the two frameworks, we consider both cooperative as well as non-cooperative power control. We manage to characterize the structure of equilibria policies and, more generally, of best-response policies in the noncooperative case. We present an algorithm to compute equilibria policies in the case of two non-cooperative players. Finally, we study the case where a malicious mobile, which also has average power constraints, tries to jam the communication of another mobile. Our results are illustrated and validated through various numerical examples.

Constrained Stochastic Games in Wireless Networks

“…The users control the power (and hence the instantaneous costs or rewards) but have no control over the system state. This situation was studied in Altman et al [1], [2]. In contrast, in this paper the control of a user has an impact not only on the instantaneous costs or rewards but also on the state transition probabilities, as the state of player i now includes also the (controlled) queue size (while [1], [2] assumes a saturated system).…”

“…For the two player case, this is equivalent to setting in equation (17) the quantity t 1 (y, a) = t 2 (y, a) = r 1 (y, a) + r 2 (y, a) where r i 's were defined in (2).…”

A Game Theory Based Approach for Power Efficient Vehicular Ad Hoc Networks

“…In each round, nodes choose the energy consumption to send traffic; then nodes will update the forwarding probability based on the beliefs. In [27], authors studied an uplink power control environment where players are selfish to maximize its throughput under the power constraint scenario. They take both noncooperative and cooperative model under the power constraint scenario and provide the best response policy for the noncooperative game model.…”

Quality of Service Provisioning in Biosensor Networks

“…A lot of work has been done to improve the performance of wireless sensor and cellular networks [10], [11], [12], [13]. Bio-sensor network is field of WSN which deals with observing biological processes within the subjects in which they are placed.…”

“…They propose various optimal transmission policies under various constraints. Authors in [12] deal with the optimization of cellular networks by considering an uplink power control problem.…”