This paper addresses the problem of energy-efficiency (EE) within an underlay cognitive radio (CR) network where primary users (PUs) and secondary users (SUs) utilize two types of multicarrier modulation: orthogonal frequency-division multiplexing (OFDM) and filter bank based multicarrier (FBMC). The problem of non-cooperative SU downlink energy-efficiency is investigated using a game theoretic approach. We reformulate the EE optimization problem as a non-cooperative power allocation game (NPAG). A distributed power control algorithm is proposed to find the optimal power allocation strategy for each secondary base station on each subcarrier. The proposed non-cooperative game is demonstrated to reach a Nash-equilibrium (NE) point. Simulation analyses are then provided in order to validate the efficiency of our proposed distributed algorithm and also to highlight the advantages of using FBMC as a modulation technique if compared to OFDM.
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