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A dynamic fair scheduling scheme, named aggressive code-division generalized processor sharing (A-CDGPS) scheme, is proposed to guarantee quality of service (QoS) for multimedia traffic in the uplinks of direct-sequence wideband code division multiple access (CDMA) cellular networks. The scheme performs slot-by-slot fair scheduling of the physical channel rates in response to the variation of multimedia traffic rates, and maximizes the utilization of the 30-called soft capacity of the CDMA uplinks. With the A-CDGPS scheme, deterministic delay bounds for heterogeneous traffic are derived. Simulation results show that the A-CDGPS is able to guarantee the delay requirement for delay-sensitive traffic, assure the weighted fairness among all the users, and maximize the throughput of delay-insensitive traffic.