Transceiver optimization and power control in wireless data networks with femtocells: A potential game-theoretic approach

The problem of non-cooperative spreading code allocation, linear receiver design, and transmit power control for wireless networks employing femtocells is considered in this paper. Several utility functions to be maximized are considered, and, among them, we cite the received SINR, and the transmitter energy efficiency, which is measured in bit/Joule, and represents the number of successfully delivered bits for each energy unit used for transmission. Resorting to the theory of potential games, non-cooperative games admitting Nash equilibria in multi-cell networks regardless of the channel coefficient realizations are designed. Computer simulations confirm that the considered games are convergent, and permit to assess the benefic impact that femtocells have on the network performance.