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In multi-rate cellular transmission systems, users with different Quality of Service (QoS) requirements share the same wireless channel. In this paper, we investigate the problem of efficient resource allocation for scheduling with differentiated QoS support in a multi-rate system. We propose Dynamic Global Proportional Fairness (DGPF) scheduling on the downlink. We investigate the performance of the scheduling algorithm and model the proposed scheme in a High Speed Downlink Packet Access (HSDPA) simulation environment. The simulation results show that our approach can achieve suitable QoS for different classes of users without compromising aggregate network throughput. The results also show that TCP dynamics affect overall system performance.