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Future wireless systems need higher support in terms of QoS support. In particular, when several connections with different QoS attributes are allowed, a prioritization system has to be foreseen. In UMTS and other systems that exploit the WCDMA approach, the problem of mitigating multiple access interference arises, too. Admission control algorithms have been introduced in the literature in order to prevent any congestion status in the network. An admission control algorithm that works by exploiting the current interference level is presented; moreover, each type of traffic is managed in order to respect its QoS in terms of priority.