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High-rate packet transmission is realized in multi-cell and multi-rate CDMA systems for which the concatenated multicode signaling is designed, in connection with iterative detection and self-interference cancellation. Since an optimum packet transmission is to allocate the maximum allowable rate to the user with the best received SINR, we are facing the problem with fairness. To overcome this, two types of fairness control are proposed to make the latency range over two extreme values, i.e., maximum and minimum latencies. Analysis in performed to evaluate throughput by deriving the probability distribution of the rate allocation, which is based on the maximum received SINR in a slot. In particular, statistics on the SINRs are jointly characterized under the three-sector cell structure because of their mutual correlation.