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An analytical formulation of the outage probability in terms of bit error rate specification for variable bit rate (VBR) multiclass services in the uplink of a wideband CDMA-based cellular system is presented. The analytical framework is formulated for the general case in which different traffic classes have different spreading gains. The analytical work leads to the determination of the capacity region of a wideband CDMA system with VBR traffic. Numerical results of the capacity region corresponding to typical parameter values are also presented.