Journal ArticleDOI

# A framework for uplink power control in cellular radio systems

Reads0

Chats0

TLDR

It is shown that systems in which transmitter powers are subject to maximum power limitations share these common properties, which permit a general proof of the synchronous and totally asynchronous convergence of the iteration p(t+1)=I(p(t)) to a unique fixed point at which total transmitted power is minimized.Abstract:

In cellular wireless communication systems, transmitted power is regulated to provide each user an acceptable connection by limiting the interference caused by other users. Several models have been considered including: (1) fixed base station assignment where the assignment of users to base stations is fixed, (2) minimum power assignment where a user is iteratively assigned to the base station at which its signal to interference ratio is highest, and (3) diversity reception where a user's signal is combined from several or perhaps all base stations. For the above models, the uplink power control problem can be reduced to finding a vector p of users' transmitter powers satisfying p/spl ges/I(p) where the jth constraint p/sub j//spl ges/I/sub j/(p) describes the interference that user j must overcome to achieve an acceptable connection. This work unifies results found for these systems by identifying common properties of the interference constraints. It is also shown that systems in which transmitter powers are subject to maximum power limitations share these common properties. These properties permit a general proof of the synchronous and totally asynchronous convergence of the iteration p(t+1)=I(p(t)) to a unique fixed point at which total transmitted power is minimized. >read more

##### Citations

More filters

Proceedings Article

## On the capacity of a cellular CDMA system

Klein S. Gilhousen,Irwin M. Jacobs,Roberto Padovani,Andrew J. Viterbi,L.A. Weaver,Charles E. Iii Del Mar Wheatley +5 more

TL;DR: It is concluded that properly augmented and power-controlled multiple-cell CDMA (code division multiple access) promises a quantum increase in current cellular capacity.

Journal ArticleDOI

## A tutorial on decomposition methods for network utility maximization

Daniel P. Palomar,Mung Chiang +1 more

TL;DR: This tutorial paper first reviews the basics of convexity, Lagrange duality, distributed subgradient method, Jacobi and Gauss-Seidel iterations, and implication of different time scales of variable updates, and introduces primal, dual, indirect, partial, and hierarchical decompositions, focusing on network utility maximization problem formulations.

Book

## Resource Allocation and Cross Layer Control in Wireless Networks

TL;DR: In this article, the authors present abstract models that capture the cross-layer interaction from the physical to transport layer in wireless network architectures including cellular, ad-hoc and sensor networks as well as hybrid wireless-wireline.

Journal ArticleDOI

## Efficient power control via pricing in wireless data networks

TL;DR: This work introduces pricing of transmit powers in order to obtain Pareto improvement of the noncooperative power control game, i.e., to obtain improvements in user utilities relative to the case with no pricing.

Book

## Massive MIMO Networks: Spectral, Energy, and Hardware Efficiency

TL;DR: This monograph summarizes many years of research insights in a clear and self-contained way and providest the reader with the necessary knowledge and mathematical toolsto carry out independent research in this area.

##### References

More filters

Journal ArticleDOI

## On the capacity of a cellular CDMA system

Klein S. Gilhousen,Irwin M. Jacobs,Roberto Padovani,Andrew J. Viterbi,L.A. Weaver,Charles E. Iii Del Mar Wheatley +5 more

TL;DR: In this paper, the interference-suppression feature of CDMA (code division multiple access) can result in a many-fold increase in capacity over analog and even over competing digital techniques.

Proceedings Article

## On the capacity of a cellular CDMA system

Klein S. Gilhousen,Irwin M. Jacobs,Roberto Padovani,Andrew J. Viterbi,L.A. Weaver,Charles E. Iii Del Mar Wheatley +5 more

TL;DR: It is concluded that properly augmented and power-controlled multiple-cell CDMA (code division multiple access) promises a quantum increase in current cellular capacity.

Journal ArticleDOI

## A simple distributed autonomous power control algorithm and its convergence

Gerard J. Foschini,Z. Miljanic +1 more

TL;DR: For wireless cellular communication systems, one seeks a simple effective means of power control of signals associated with randomly dispersed users that are reusing a single channel in different cells, and the authors demonstrate exponentially fast convergence to these settings whenever power settings exist for which all users meet the rho requirement.

## Parallel and distributed computation

TL;DR: This book focuses on numerical algorithms suited for parallelization for solving systems of equations and optimization problems, with emphasis on relaxation methods of the Jacobi and Gauss-Seidel type.

Journal ArticleDOI

## Performance of optimum transmitter power control in cellular radio systems

TL;DR: In order to derive upper performance bounds for transmitter power control schemes, algorithms that are optimum in the sense that the interference probability is minimized are suggested.

##### Related Papers (5)

## A simple distributed autonomous power control algorithm and its convergence

Gerard J. Foschini,Z. Miljanic +1 more