Journal ArticleDOI
A simple distributed autonomous power control algorithm and its convergence
Gerard J. Foschini,Z. Miljanic +1 more
TLDR
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.Abstract:
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. By effecting the lowest interference environment, in meeting a required minimum signal-to-interference ratio of rho per user, channel reuse is maximized. Distributed procedures for doing this are of special interest, since the centrally administered alternative requires added infrastructure, latency, and network vulnerability. Successful distributed powering entails guiding the evolution of the transmitted power level of each of the signals, using only focal measurements, so that eventually all users meet the rho requirement. The local per channel power measurements include that of the intended signal as well as the undesired interference from other users (plus receiver noise). For a certain simple distributed type of algorithm, whenever power settings exist for which all users meet the rho requirement, the authors demonstrate exponentially fast convergence to these settings. >read more
Citations
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Journal ArticleDOI
Distributed topology control of wireless networks
Vivek S. Borkar,D. Manjunath +1 more
TL;DR: Although many heuristics are described in the literature to maintain local topological properties, the algorithm proposed in this paper is the first one that has proven convergence properties.
Journal ArticleDOI
Spectral Conditions for Stability and Stabilization of Positive Equilibria for a Class of Nonlinear Cooperative Systems
TL;DR: If control inputs are available, then it is shown how to use state feedback to stabilize an equilibrium point in the interior of the positive orthant.
Journal ArticleDOI
Balancing transport and physical Layers in wireless multihop networks
TL;DR: In a wireless network with multihop transmissions and interference-limited link rates, can balance power control in the physical layer and congestion control in transport layer to enhance the performance of wireless networks.
Journal ArticleDOI
On the spectral coexistence of GSO and NGSO FSS systems: power control mechanisms and a methodology for inter-site distance determination
TL;DR: To increase the spectrum efficiency of the GSO-NGSO fixed satellite service terrestrial network, the minimum distance from a GSO earth terminal, where an NGSO earth terminal can be implemented subject to minimizing received interference level at the victim system is found.
Journal ArticleDOI
Power allocation scheme for OCDMA NG-PON with proportional–integral–derivative algorithms
TL;DR: The main results have shown that DPCA-FM reaches convergence with a lower number of iterations than D PCA-V for situations of a good SNIR, and under weak-signal scenarios, DPC a-V exhibits a smaller discrepancy from the optimum power vector solution and better convergence than DPCa-FM.
References
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Book
Matrix iterative analysis
TL;DR: In this article, the authors propose Matrix Methods for Parabolic Partial Differential Equations (PPDE) and estimate of Acceleration Parameters, and derive the solution of Elliptic Difference Equations.
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.
Book
A Survey of Matrix Theory and Matrix Inequalities
Marvin Marcus,Henryk Minc +1 more
TL;DR: This book presents an enormous amount of information in a concise and accessible format and begins with the assumption that the reader has never seen a matrix.