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With newer and farther reaching applications being densely deployed in built environments, such as small cell cellular networks and smart grids, users are increasingly expecting high QoS and fair access.

For UT0, the received signal on OFDMA subchannel ℓ at time slot m can be modeled as Figure 1 Hexagonal model for a 19-cell cellular network.

We consider the downlink of an OFDMA-based 19-cell cellular network having the 2D hexagonal layout depicted on Figure 1.

Fig. 11 Spatial spectral efficiency in (bit/s/Hz km2) of multi-cell cellular network as a function of SNR and normalized reuse distance, R d for omni, 120° and 60° antenna configurations with m=4 and α=4.

Numerical results are analyzed in Section 4. We consider the downlink of a synchronous discrete-time 19-cell cellular network having the 2D hexagonal layout depicted in Figure 1.

Spatial SE for omni antenna system, spatial SE for 120° sectorized antenna system, spatial SE for 60° sectorized antenna system Fig. 12 Spatial energy efficiency in (bit/J km2) of multi-cell cellular network as a function of SNR and normalized reuse distance, R d for omni, 120° and 60° antenna configurations with m=4 and α=4.

Dynamic frequency allocation (DFA) has widely been studied for multi-cell cellular networks [8 10].

These two metrics have been examined for single- and multi-cell cellular networks subjected to co-channel interference in fading environment in [14].

Although we focus on the clustering problem of small cells in this paper, the proposed algorithm can be easily applied to more general environments, e.g., multi-cell cellular networks or ad hoc sensor networks.

Fig. 4 Spectral efficiency in (bit/s/Hz) for single- and multi-cell cellular networks for three different antenna configurations as a function of SNR for various values of fading figure, m, with R d =3.5 and α=4.

Since CoMP-JT is a key technology to cope with high quality demands of cell-edge users and no revenue maximization game model that incorporates such characteristics in coordinated multi-cell networks is yet applied, the main motivation in this paper is proposition of a Stackelberg game for OFDMA multi-cell cellular networks using a combination of CoMP-JT technologies and FFR technique.

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