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In this paper, quality of service (QoS) guarantees for multimedia traffic are provided by means of cross-layer optimization in code division multiple access (CDMA) networks. We develop optimal connection admission control (CAC) schemes with both physical layer signal-to-interference ratio (SIR) and network layer blocking probability QoS constraints. Packet traffic is modeled as a Markov modulated Poisson process (MMPP). We show that the cross-layer CAC problem in packet CDMA networks has a nearly complete decomposability structure, based on which we propose two CAC algorithms that require much less computation than some existing schemes and can have good approximation to the optimal solutions. The effectiveness of the proposed schemes is demonstrated by numerical examples.