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An approximate analytical formulation of the resource allocation problem for handling video services with scene changes in a cellular multirate direct sequence code division multiple access (DS-CDMA) system is presented. The video traffic accounts for slow and fast motions. The novelty in this paper is that all grade of service (GoS) or quality of service (QoS) requirements at the connection level, packet level and link layer are satisfied simultaneously, instead of being satisfied at the connection level or at the link layer only. The analytical formulation shows how the GoS/QoSs in the different layers are intertwined across the layers. A complete sharing (CS) scheme with guard capacity is used for the resource sharing policy at the connection level based on the mean rates of the connections. The CS model is solved using a K-dimensional Markov chain. Numerical results illustrate that significant gain in system utilization is achieved through the joint coupling of connection/packet levels and link layer.