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Link admission control is one of the fundamental radio resource management functions in radio networks, determining which users should have access to the radio channels. The introduction of the shared high-speed channel, HS-DSCH, in release 5 of WCDMA poses new requirements on such an algorithm. Different kinds of users on dedicated as well as the shared high-speed channel must be handled so that radio resources are allocated properly among different kinds of services, and so that overload situations are avoided. A simple threshold algorithm is evaluated here in a mixed services scenario where speech users are allocated to dedicated channels and data users to the HS-DSCH. The threshold applies to the total power used by the non-HS channels in each cell. By selecting the threshold appropriately, resources can be shared efficiently between the two types of services while avoiding overload situations.