Solving nonconvex power control problems in wireless networks: Low SIR regime and distributed algorithms

Chee Wei Tan, Daniel P. Palomar, Mung Chiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

26 Scopus citations

Abstract

In wireless cellular networks that are interference-limited, a variety of power control problems can be formulated as nonlinear optimization with a system-wide objective subject to many QoS constraints from individual users. Previous work have been done in the high SIR regime by solving these problems with nonlinear objectives and constraints as geometric programs. However, in the medium to low SIR regime, these problems cannot be transformed into tractable convex optimization problems. This paper makes two contributions: (1) In the low SIR regime, we propose a method with centralized computation to obtain the globally optimal solution by solving a series of geometric programs. (2) While efficient and robust algorithms have been extensively studied for centralized solutions of geometric programs, distributed algorithms have not been investigated before this paper. We present a systematic method of distributed algorithms for power control based on geometric programs in high SIR regime. These two contributions can be readily combined to distributively solve nonlinear power control problems in general SIR regime.

Original languageEnglish (US)
Title of host publicationGLOBECOM'05
Subtitle of host publicationIEEE Global Telecommunications Conference, 2005
Pages3445-3450
Number of pages6
DOIs
StatePublished - Dec 1 2005
EventGLOBECOM'05: IEEE Global Telecommunications Conference, 2005 - St. Louis, MO, United States
Duration: Nov 28 2005Dec 2 2005

Publication series

NameGLOBECOM - IEEE Global Telecommunications Conference
Volume6

Other

OtherGLOBECOM'05: IEEE Global Telecommunications Conference, 2005
CountryUnited States
CitySt. Louis, MO
Period11/28/0512/2/05

All Science Journal Classification (ASJC) codes

  • Engineering(all)

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    Tan, C. W., Palomar, D. P., & Chiang, M. (2005). Solving nonconvex power control problems in wireless networks: Low SIR regime and distributed algorithms. In GLOBECOM'05: IEEE Global Telecommunications Conference, 2005 (pp. 3445-3450). [1578413] (GLOBECOM - IEEE Global Telecommunications Conference; Vol. 6). https://doi.org/10.1109/GLOCOM.2005.1578413