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We develop call admission control algorithms for DS-CDMA cellular networks that support multimedia services. When a new call (or a handoff call) arrives at a base station requesting admission, our algorithms calculate the desired power levels for the new call and all existing calls. These calculations are based on the interference received at the base station and the desired quality of service target for each call. If the desired power levels to be received at the base station for some calls are larger than the maximum allowable power limits, the admission request is rejected. Otherwise, the admission request is granted. When higher priority is desired for handoff calls, we allow different thresholds for new calls and handoff calls. Our algorithms are presented in a basic form and in an adaptive form.