In a 4G cellular communication system, energy efficiency and power consumption are the key parameters in evaluating and designing communication system in multimedia. In this paper, an efficient model with high energy is proposed for multiple input multiple output orthogonal frequency division multiplexing (MIMO–OFDM) mobile multimedia systems with less power consumption. Providing high-speed video coding technique, which is designed to substantially improve coding efficiency compared with other coding techniques. Next to that erasures coding and Wyner–Ziv coding is used for encoding and compression process. Finally, efficient energy based optimized power allocation with hybrid Fuzzy Grey Wolf Optimization (GWO) algorithm is presented to reduce the power consumption of MIMO–OFDM mobile multimedia communication systems. The value of power which is consumed at the 30th iteration is 20 W and the energy efficiency is 92% for the 20 W power. Experimental results show that the proposed hybrid Fuzzy GWO algorithm can assure the required service with maximum efficiency in MIMO–OFDM.