In this paper, both effective bandwidth extension and distributed issues are investigated to improve the energy efficiency for the orthogonal frequency division multiplexing (OFDM) wireless communication systems. A Fuzzy based energy efficient bandwidth expansion (FBEEBE) scheme is proposed to fast infer the bandwidth extension factors (BEFs) for users based on fuzzy inference systems. The proposed fuzzy inference system can infer the BEFs from the two inputs of SNR and bandwidth requirement of users. Simulation results show that the proposed FBEEBE can improve the energy efficiency comparing to that of same bandwidth extension (SBE) scheme.