On the optimality of network assisted power control for a general class of sigmoid functions

Controlling the distribution of resources is imperative in any wireless system. Much research has considered the efficiency of the allocation in terms of bits per Joule of radiated energy. In addition, game theoretical concepts have been used to propose algorithms that help systems reach an optimal operating point. This paper investigates in detail the formerly proposed network assisted power control and, unlike other work that has been done, proves that for a very general class of functions it is Pareto Optimal.

[1]  Walid Saad,et al.  Game Theory in Wireless and Communication Networks: Applications of game theory in communications and networking , 2011 .

[2]  Chi Wan Sung,et al.  Power control and rate management for wireless multimedia CDMA systems , 2001, IEEE Trans. Commun..

[3]  Narayan B. Mandayam,et al.  Pricing and power control for joint network-centric and user-centric radio resource management , 2004, IEEE Transactions on Communications.

[4]  David J. Goodman,et al.  Network Assisted Power Control for Wireless Data , 2001, Mob. Networks Appl..

[5]  Catherine Rosenberg,et al.  A game theoretic framework for bandwidth allocation and pricing in broadband networks , 2000, TNET.

[6]  David J. Goodman,et al.  Maximizing the throughput of CDMA data communications , 2003, 2003 IEEE 58th Vehicular Technology Conference. VTC 2003-Fall (IEEE Cat. No.03CH37484).

[7]  David J. Goodman,et al.  Admission control for maximal throughput in power limited CDMA systems , 2005, IEEE Wireless Communications and Networking Conference, 2005.

[8]  Virgilio Rodriguez,et al.  An analytical foundation for resource management in wireless communication , 2003, GLOBECOM '03. IEEE Global Telecommunications Conference (IEEE Cat. No.03CH37489).

[9]  Cem U. Saraydar,et al.  Efficient power control via pricing in wireless data networks , 2002, IEEE Trans. Commun..

[10]  Zhu Han,et al.  Game Theory in Wireless and Communication Networks: Theory, Models, and Applications , 2011 .

[11]  Manfred Stoll,et al.  Introduction to Real Analysis , 1997 .

[12]  A. Tsoularis,et al.  Analysis of logistic growth models. , 2002, Mathematical biosciences.

[13]  Cem U. Saraydar,et al.  Pricing and power control in a multicell wireless data network , 2001, IEEE J. Sel. Areas Commun..

[14]  H. Vincent Poor,et al.  Energy-efficient resource allocation in wireless networks with quality-of-service constraints , 2007, IEEE Transactions on Communications.

[15]  Jesse H. Ausubel,et al.  A Primer on Logistic Growth and Substitution: The Mathematics of the Loglet Lab Software , 1999 .

[16]  David J. Goodman,et al.  Power control for wireless data , 1999, 1999 IEEE International Workshop on Mobile Multimedia Communications (MoMuC'99) (Cat. No.99EX384).

[17]  David J. Goodman,et al.  Power control for wireless data based on utility and pricing , 1998, Ninth IEEE International Symposium on Personal, Indoor and Mobile Radio Communications (Cat. No.98TH8361).

[18]  David J. Goodman,et al.  A Power Control Based Admission Algorithm for Maximizing Throughput in a CDMA Network , 2011, Wirel. Pers. Commun..

[19]  Zhu Han,et al.  Resource Allocation for Wireless Networks: Basics, Techniques, and Applications , 2008 .

[20]  Stathes Hadjiefthymiades,et al.  On Fair and Efficient Power Control in CDMA Wireless Data Networks , 2006, Proceedings of 15th International Conference on Computer Communications and Networks.

[21]  Dusit Niyato,et al.  Game Theory in Wireless and Communication Networks: Fundamentals of game theory , 2011 .