• TITLE: Transient Analysis for Wireless Power Control
• AUTHORS: Maryam Fazel, Dennice Gayme, Mung Chiang
• ABSTRACT: Power control mitigates interference and maintains required QoS levels in cellular wireless networks. An important class of distributed power control (DPC) was proposed by Foschini and Miljanic in 1993, with many variants developed since. Almost all related work focuses on the equilibrium and asymptotic convergence properties. However, for many applications \emph{transient} behavior is more important. If a link's SIR drops below a critical threshold for too long, the connections over this link will be dropped, rendering the entire concept of equilibrium resource allocation meaningless. This paper proposes a systematic approach to the analysis of transient properties of DPC algorithms, in particular Foschini-Miljanic, based on tools from control theory. Analytically, we present a sufficient condition to ensure that after links reach their minimum SIR levels, their SIR requirements can be guaranteed for future time steps. Computationally, we pose problems of this type as checking the invariance of certain regions in the SIR space, which for the basic DPC algorithm can be solved by Linear Programming (LP). Furthermore, using insights gained from the analysis, we propose initial results for designing new iterative resource allocation schemes with desirable transient properties.
• STATUS: Proc. IEEE Globecom Conference , San Francisco, CA, Nov 2006.
• paper: pdf file