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The authors characterize the maximum throughput achievable for the up-link of a power-controlled WCDMA wireless system with variable spreading factor. Their system model includes multi access interference caused by users with heterogeneous data sources, and quality of service expressed in terms of outage probability. Inner loop and outer loop power control mechanisms are also explicitly taken into account. They express the system throughput as the sum of the users transmission rates, and propose a mixed integer optimization program where the objective function is the sum of the rates under outage probability constraints.
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