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            <idno type="stamp" n="UNIV-PSUD">Université Paris Sud - Paris XI</idno>
            <idno type="stamp" n="SUP_LSS">Laboratoire des Signaux et Systèmes</idno>
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                <title xml:lang="en">Stochastic Geometry Modeling of Cellular Networks: A New Definition of Coverage and its Application to Energy Efficiency Optimization</title>
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              <p>In this paper, we analyze and optimize the energyefficiency   of   downlink   cellular   networks.   With   the   aid   oftools  from  stochastic  geometry,  we  introduce  a  new  closed-form  analytical  expression  of  the  potential  spectral  efficiency.Unlike currently available analytical frameworks, the proposedanalytical formulation explicitly depends on the transmit powerand density of the base stations. This is obtained by generalizingthe   definition   of   coverage   probability   and   by   taking   intoaccount  the  sensitivity  of  the  receiver  not  only  during  thedetection  of  information  data,  but  during  the  cell  associationphase  as  well.  Based  on  the  new  analytical  representationof  the  potential  spectral  efficiency,  the  energy  efficiency  isformulated in a tractable closed-form expression. The resultingoptimization problem is studied and it is mathematically provedthat  the  energy  efficiency  is  a  unimodal  and  strictly  pseudo-concave function in the transmit power. Numerical results areillustrated and  discussed.</p>
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