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To provide better QoS support for high quality multimedia applications and precise priority setting for various traffic types in high-data-rate wireless networks, a priority-based EDF scheduling algorithm and modified MAC protocol are proposed. According to traffic characteristics, different priority controls might be needed even for the same application. Simulation results show that the proposed algorithm can not only guarantee a low error rate for high priority traffic but also work better than other algorithms on low priority traffic. Most commendably, the proposed algorithm and modified MAC protocol are simple and realistic.