Title :
Sufficient Conditions for Convergent Power Dynamics in Ad Hoc Networks
Author :
Olafsson, Sverrir
Author_Institution :
Mobility Res. Centre, BT Adastral Park, Ipswich
Abstract :
We study the behaviour of dynamic power control algorithm and derive new sufficient conditions for the dynamic to be convergent. The convergence condition is based on the properties of diagonally dominant matrices and an additional condition required for the real parts of their eigenvalues to be negative. The essential condition for the power dynamic to be stable is expressed in terms of relationships between channel links, interference links and the required QoS on the channel links. We discuss the connection to previous works on convergent power control and present results from some numerical investigations
Keywords :
ad hoc networks; eigenvalues and eigenfunctions; power control; quality of service; telecommunication control; wireless channels; QoS; ad hoc networks; channel links; convergent power dynamics; dynamic power control algorithm; eigenvalues; Ad hoc networks; Base stations; Convergence; Heuristic algorithms; Intelligent networks; Interference; Power control; Signal to noise ratio; Stability; Sufficient conditions;
Conference_Titel :
Vehicular Technology Conference, 2006. VTC 2006-Spring. IEEE 63rd
Conference_Location :
Melbourne, Vic.
Print_ISBN :
0-7803-9391-0
Electronic_ISBN :
1550-2252
DOI :
10.1109/VETECS.2006.1683322