Cross-System Resource Allocation Based on Random Matrix Theory

Samson Lasaulce; Alberto Suárez; Raul de  Lacerda; Merouane Debbah

2nd International ICST Conference on Performance Evaluation Methodologies and Tools

Research Article

Cross-System Resource Allocation Based on Random Matrix Theory

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@INPROCEEDINGS{10.4108/valuetools.2007.2018,
    author={Samson Lasaulce and Alberto Su\^{a}rez and Raul de  Lacerda and Merouane Debbah},
    title={Cross-System Resource Allocation Based on Random Matrix Theory},
    proceedings={2nd International ICST Conference on Performance Evaluation Methodologies and Tools},
    proceedings_a={VALUETOOLS},
    year={2010},
    month={5},
    keywords={Cross system optimization multiple access channel power allocation iterative water-filling heterogeneous networks.},
    doi={10.4108/valuetools.2007.2018}
}

Samson Lasaulce
Alberto Suárez
Raul de Lacerda
Merouane Debbah
Year: 2010
Cross-System Resource Allocation Based on Random Matrix Theory
VALUETOOLS
ICST
DOI: 10.4108/valuetools.2007.2018

Samson Lasaulce¹^,*, Alberto Suárez²^,*, Raul de Lacerda²^,*, Merouane Debbah³^,*

1: Lab. des Signaux et Systemes CNRS - Supelec - Paris 11 91190, Gif-sur-Yvette, France
2: Dpt. Communications Mobiles Institut Eurecom 06904, Sophia Antipolis, France
3: Supelec 91190, Gif-sur-Yvette, France

*Contact email: lasaulce@lss.supelec.fr, suarezr@eurecom.fr, raul.delacerda@_eurecom.fr, merouane.debbah@supelec.fr

Abstract

This paper investigates the situation where a (large) group of terminals can be connected simultaneously to several base stations using distinct wireless technologies. We introduce and solve the problem of optimally sharing the mobile transmit power between different systems. Key results from asymptotic random matrix theory (when the number of users and the dimensions of different systems increase) allow us to derive the best power allocation scheme in the sense of the sum-capacity of the overall system, for which the uplink is equivalent to a parallel fading multiple access channel. Moreover, we provide an iterative algorithm to solve the power allocation algorithm. Simulations for a finite number of users validate the asymptotic claims.

Keywords: Cross system optimization multiple access channel power allocation iterative water-filling heterogeneous networks.

Published: 2010-05-16
Modified: 2011-09-14

: http://dx.doi.org/10.4108/valuetools.2007.2018