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Logistic Modeling for Optimal Resource Allocation in Network Assisted Power Control

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Abstract

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. The most common model used in analysis of this utility has been the logistic curve. Many game theoretical concepts have been used to propose algorithms that help such systems reach an optimal operating point. This paper investigates network assisted power control in general and, unlike other work that has previously been done, proves that for a very general class of functions it is Pareto Optimal. Furthermore, a methodology to modeling wireless systems with various modulation and channel conditions as logistic functions is presented and their trade-offs investigated.

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Correspondence to Zory Marantz.

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This work was supported in part by NSF Grant No. 0219822, PSC-CUNY Grant No. PSCOOC-39-145, and PSCREG-40-547. Various contents of this paper have been presented in Wireless Telecommunications Symposium (WTS) 2013.

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Marantz, Z. Logistic Modeling for Optimal Resource Allocation in Network Assisted Power Control. Wireless Pers Commun 90, 281–299 (2016). https://doi.org/10.1007/s11277-016-3345-2

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