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The capacity region of code-division multiple access (CDMA) is determined by the set of transmission rates combined with quality-of-service (QoS) requirements which allow for a feasible power allocation scheme for mobiles in a cellular network. The geometrical and topological properties of the capacity region are investigated in the present paper for the case of unlimited and limited power, respectively. As a central result, we show that the capacity region is convex by breaking the complicateddoi:10.1109/tit.2005.847720 fatcat:da3faieybvgeziigmnoc66qxim